Details

analyze1.9s (2.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

388×	`associate-+l+_binary64_3080`
318×	`exp-sum_binary64_3193`
296×	`associate-+r+_binary64_3079`
271×	`distribute-rgt-in_binary64_3097`
266×	`distribute-lft-in_binary64_3096`
224×	`associate-r_binary64_3087`
209×	`associate-l_binary64_3088`
206×	`associate-/r/_binary64_3093`
167×	`distribute-rgt-out_binary64_3100`
163×	`exp-diff_binary64_3195`
143×	`sub-neg_binary64_3140`
117×	`+-commutative_binary64_3077`
100×	`distribute-lft-out_binary64_3098`
93×	`distribute-neg-in_binary64_3108`
92×	`div-sub_binary64_3152`
86×	`*-commutative_binary64_3078`
57×	`associate-*r/_binary64_3089`
54×	`associate--l+_binary64_3084` `associate-+r-_binary64_3081`
51×	`associate-*l/_binary64_3090` `associate--l-_binary64_3085`
48×	`associate-+l-_binary64_3082`
36×	`associate--r+_binary64_3083`
32×	`associate-/l/_binary64_3094`
30×	`exp-prod_binary64_3199`
24×	`*-rgt-identity_binary64_3137`
22×	`*-lft-identity_binary64_3136`
21×	`associate-/r*_binary64_3091`
19×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
15×	`associate--r-_binary64_3086`
12×	`times-frac_binary64_3153` `associate-/l*_binary64_3092`
11×	`sqr-pow_binary64_3119`
9×	`unswap-sqr_binary64_3115`
8×	`rec-exp_binary64_3197` `cancel-sign-sub-inv_binary64_3113`
6×	`pow-sqr_binary64_3120`
4×	`div-exp_binary64_3198` `unsub-neg_binary64_3141`
3×	`--rgt-identity_binary64_3133`
2×	`remove-double-neg_binary64_3135` `distribute-lft-neg-in_binary64_3104`
1×	`unpow3_binary64_3213` `exp-neg_binary64_3194` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-rgt1-in_binary64_3103`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `prod-exp_binary64_3196` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	604	119
3	3400	115
4	4793	115
5	4804	115
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 126 to 112 computations (11.1% saved)

sample1.6s (2.4%)

Algorithm

1×

intervals

Results

1.5s	130×	body	8192	exit
79.0ms	256×	body	128	valid
7.0ms	388×	pre	128	true
1.0ms	2×	body	128	invalid

Compiler

Compiled 249 to 223 computations (10.4% saved)

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64_3080`
318×	`exp-sum_binary64_3193`
296×	`associate-+r+_binary64_3079`
271×	`distribute-rgt-in_binary64_3097`
266×	`distribute-lft-in_binary64_3096`
224×	`associate-r_binary64_3087`
209×	`associate-l_binary64_3088`
206×	`associate-/r/_binary64_3093`
167×	`distribute-rgt-out_binary64_3100`
163×	`exp-diff_binary64_3195`
143×	`sub-neg_binary64_3140`
117×	`+-commutative_binary64_3077`
100×	`distribute-lft-out_binary64_3098`
93×	`distribute-neg-in_binary64_3108`
92×	`div-sub_binary64_3152`
86×	`*-commutative_binary64_3078`
57×	`associate-*r/_binary64_3089`
54×	`associate--l+_binary64_3084` `associate-+r-_binary64_3081`
51×	`associate-*l/_binary64_3090` `associate--l-_binary64_3085`
48×	`associate-+l-_binary64_3082`
36×	`associate--r+_binary64_3083`
32×	`associate-/l/_binary64_3094`
30×	`exp-prod_binary64_3199`
24×	`*-rgt-identity_binary64_3137`
22×	`*-lft-identity_binary64_3136`
21×	`associate-/r*_binary64_3091`
19×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
15×	`associate--r-_binary64_3086`
12×	`times-frac_binary64_3153` `associate-/l*_binary64_3092`
11×	`sqr-pow_binary64_3119`
9×	`unswap-sqr_binary64_3115`
8×	`rec-exp_binary64_3197` `cancel-sign-sub-inv_binary64_3113`
6×	`pow-sqr_binary64_3120`
4×	`div-exp_binary64_3198` `unsub-neg_binary64_3141`
3×	`--rgt-identity_binary64_3133`
2×	`remove-double-neg_binary64_3135` `distribute-lft-neg-in_binary64_3104`
1×	`unpow3_binary64_3213` `exp-neg_binary64_3194` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-rgt1-in_binary64_3103`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `prod-exp_binary64_3196` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	604	119
3	3400	115
4	4793	115
5	4804	115

prune14.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

1.8b

Counts

2 → 2

Compiler

Compiled 271 to 232 computations (14.4% saved)

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.3b	(-.f64 (-.f64 1 z) 1)
5.3b	(-.f64 (-.f64 1 z) 1)
5.3b	(-.f64 (-.f64 1 z) 1)
5.3b	(-.f64 (-.f64 1 z) 1)

rewrite1.1s (1.7%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

36×	`*-un-lft-identity_binary64_3147`
28×	`add-sqr-sqrt_binary64_3169`
24×	`add-log-exp_binary64_3186` `cancel-sign-sub-inv_binary64_3113`
16×	`associate--l+_binary64_3084`
12×	`diff-log_binary64_3239` `add-cube-cbrt_binary64_3182` `distribute-lft-out--_binary64_3099`
8×	`sub-neg_binary64_3140` `difference-of-squares_binary64_3116`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-sqr-1_binary64_3117` `associate--l-_binary64_3085`

Counts

4 → 100

Calls

4 calls:

14.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)
9.0ms	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 11372 to 9694 computations (14.8% saved)

series227.0ms (0.3%)

Error

1.8b

Counts

4 → 12

Calls

4 calls:

51.0ms	(-.f64 (-.f64 1 z) 1)
50.0ms	(-.f64 (-.f64 1 z) 1)
49.0ms	(-.f64 (-.f64 1 z) 1)
49.0ms	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 3388 to 3009 computations (11.2% saved)

simplify113.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64_3097`
455×	`distribute-lft-in_binary64_3096`
385×	`sub-neg_binary64_3140`
314×	`difference-of-squares_binary64_3116`
305×	`associate-+l+_binary64_3080`
241×	`neg-sub0_binary64_3142`
229×	`neg-mul-1_binary64_3143`
219×	`associate-+r+_binary64_3079`
175×	`sqr-pow_binary64_3119`
138×	`exp-sum_binary64_3193`
137×	`associate-+l-_binary64_3082`
132×	`*-commutative_binary64_3078`
114×	`exp-prod_binary64_3199`
106×	`remove-double-neg_binary64_3135`
105×	`div-sub_binary64_3152` `distribute-lft-neg-out_binary64_3106`
104×	`unswap-sqr_binary64_3115`
102×	`times-frac_binary64_3153`
101×	`distribute-rgt-out_binary64_3100`
100×	`distribute-rgt-neg-out_binary64_3107`
86×	`exp-diff_binary64_3195`
85×	`associate-+r-_binary64_3081`
83×	`cube-prod_binary64_3175`
81×	`associate-l_binary64_3088`
79×	`log-prod_binary64_3233`
78×	`unsub-neg_binary64_3141`
77×	`associate-r_binary64_3087`
65×	`distribute-lft-out_binary64_3098` `associate--l+_binary64_3084`
54×	`cancel-sign-sub-inv_binary64_3113`
47×	`associate--r+_binary64_3083`
44×	`pow-sqr_binary64_3120`
39×	`+-commutative_binary64_3077`
36×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
33×	`distribute-rgt-neg-in_binary64_3105`
32×	`*-rgt-identity_binary64_3137` `distribute-neg-in_binary64_3108`
29×	`swap-sqr_binary64_3114`
27×	`*-lft-identity_binary64_3136`
26×	`associate--l-_binary64_3085`
25×	`distribute-neg-out_binary64_3109`
20×	`difference-of-sqr--1_binary64_3118`
19×	`pow-plus_binary64_3210` `sub0-neg_binary64_3134` `distribute-lft-neg-in_binary64_3104`
16×	`unpow3_binary64_3213` `sqr-neg_binary64_3161`
15×	`div-exp_binary64_3198`
13×	`/-rgt-identity_binary64_3138`
12×	`mul-1-neg_binary64_3139` `associate--r-_binary64_3086`
10×	`cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cancel-sign-sub_binary64_3112` `associate-/l_binary64_3092` `associate-r/_binary64_3089`
9×	`prod-exp_binary64_3196` `distribute-rgt1-in_binary64_3103`
8×	`cube-neg_binary64_3174` `rem-sqrt-square_binary64_3160` `difference-of-sqr-1_binary64_3117`
7×	`associate-/r_binary64_3091` `associate-l/_binary64_3090`
6×	`rec-exp_binary64_3197` `distribute-lft1-in_binary64_3102`
5×	`exp-neg_binary64_3194`
4×	`log-pow_binary64_3236` `associate-/r/_binary64_3093`
3×	`--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate-/l/_binary64_3094`
2×	`unpow1/2_binary64_3211` `cube-div_binary64_3176` `rem-3cbrt-lft_binary64_3172`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-cbrt-cube_binary64_3171` `rem-square-sqrt_binary64_3159` `distribute-frac-neg_binary64_3110`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `rem-3cbrt-rft_binary64_3173` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `+-lft-identity_binary64_3131` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `distribute-neg-frac_binary64_3111` `count-2_binary64_3095`

Counts

112 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	1032
1	107	772
2	209	728
3	775	720
4	3390	704
5	4184	704
6	5392	704

prune481.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Error

1.8b

Counts

102 → 2

Compiler

Compiled 6074 to 5101 computations (16% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)))
1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
1.0b	(sqrt.f64 (*.f64 PI.f64 2))
2.6b	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))

rewrite978.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

58×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
56×	`frac-add_binary64_3155`
41×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
13×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
7×	`pow1_binary64_3208`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
3×	`associate-+l+_binary64_3080` `+-commutative_binary64_3077`
2×	`sqrt-pow1_binary64_3165`
1×	`pow1/2_binary64_3227` `pow-prod-down_binary64_3218` `sqrt-prod_binary64_3163`

Counts

4 → 90

Calls

4 calls:

95.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
53.0ms	(+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)))
23.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
2.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 9977 to 7937 computations (20.4% saved)

series388.0ms (0.6%)

Error

0.4b

Counts

4 → 34

Calls

4 calls:

126.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) (/.f64 7041008316161153/562949953421312 (-.f64 5 z))) (/.f64 -4992549864024149/36028797018963968 (-.f64 6 z))) (/.f64 5893731530977871/590295810358705651712 (-.f64 7 z)))
102.0ms	(+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z)))
79.0ms	(+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))
0.0ms	(sqrt.f64 (*.f64 PI.f64 2))

Compiler

Compiled 3384 to 2673 computations (21% saved)

simplify244.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

373×	`distribute-rgt-in_binary64_3097`
345×	`distribute-lft-in_binary64_3096`
337×	`associate-l_binary64_3088`
279×	`*-commutative_binary64_3078`
202×	`associate-r_binary64_3087`
154×	`+-commutative_binary64_3077`
131×	`sub-neg_binary64_3140`
128×	`associate-+l+_binary64_3080`
113×	`distribute-rgt-neg-out_binary64_3107`
97×	`distribute-neg-in_binary64_3108`
73×	`associate-*r/_binary64_3089`
66×	`associate-+r+_binary64_3079`
61×	`sqr-pow_binary64_3119`
59×	`cancel-sign-sub-inv_binary64_3113`
58×	`distribute-neg-frac_binary64_3111` `associate-*l/_binary64_3090`
49×	`prod-exp_binary64_3196` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
36×	`unsub-neg_binary64_3141` `associate--l+_binary64_3084`
25×	`distribute-rgt-neg-in_binary64_3105`
21×	`unpow3_binary64_3213` `cube-mult_binary64_3177`
20×	`associate-/l*_binary64_3092`
17×	`associate--r+_binary64_3083`
14×	`div-sub_binary64_3152`
13×	`distribute-lft-neg-out_binary64_3106` `associate-/r*_binary64_3091`
12×	`distribute-lft-neg-in_binary64_3104`
9×	`exp-sum_binary64_3193`
7×	`cube-div_binary64_3176` `distribute-rgt-out--_binary64_3101` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
6×	`difference-of-squares_binary64_3116`
2×	`cube-unmult_binary64_3184` `unswap-sqr_binary64_3115`
1×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `1-exp_binary64_3191` `cube-prod_binary64_3175` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `times-frac_binary64_3153` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

124 → 99

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	416	9427
1	1107	9255
2	4360	9255
3	4962	9255

prune740.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	94	7	101

Error

0.3b

Counts

101 → 7

Compiler

Compiled 9626 to 7635 computations (20.7% saved)

localize93.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

rewrite1.6s (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

24×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
12×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
8×	`flip3-+_binary64_3150` `frac-add_binary64_3155` `flip-+_binary64_3121`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Counts

4 → 68

Calls

4 calls:

29.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
26.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
26.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
25.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

Compiler

Compiled 13716 to 11137 computations (18.8% saved)

series1.1s (1.6%)

Error

0.3b

Counts

4 → 48

Calls

4 calls:

154.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
153.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
152.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
148.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

Compiler

Compiled 16744 to 13749 computations (17.9% saved)

simplify148.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-l_binary64_3088`
413×	`associate-r_binary64_3087`
369×	`associate-*l/_binary64_3090`
318×	`associate-*r/_binary64_3089`
305×	`distribute-rgt-in_binary64_3097`
274×	`distribute-lft-in_binary64_3096`
226×	`div-sub_binary64_3152`
148×	`associate-/l*_binary64_3092`
138×	`associate-+l+_binary64_3080`
124×	`associate-/r*_binary64_3091`
112×	`associate-+r+_binary64_3079`
103×	`unsub-neg_binary64_3141`
99×	`*-commutative_binary64_3078`
96×	`sub-neg_binary64_3140`
74×	`+-commutative_binary64_3077`
63×	`distribute-rgt-out_binary64_3100`
59×	`associate-/l/_binary64_3094`
56×	`distribute-lft-neg-out_binary64_3106`
54×	`distribute-neg-in_binary64_3108`
51×	`distribute-rgt-neg-out_binary64_3107`
44×	`neg-sub0_binary64_3142` `cancel-sign-sub-inv_binary64_3113`
37×	`distribute-neg-frac_binary64_3111` `associate-/r/_binary64_3093`
35×	`distribute-rgt-neg-in_binary64_3105`
33×	`times-frac_binary64_3153`
30×	`neg-mul-1_binary64_3143`
29×	`sqr-pow_binary64_3119`
27×	`distribute-lft-neg-in_binary64_3104` `distribute-lft-out_binary64_3098`
20×	`associate--r+_binary64_3083`
19×	`associate--l+_binary64_3084`
18×	`distribute-neg-out_binary64_3109`
16×	`unswap-sqr_binary64_3115`
15×	`associate-+l-_binary64_3082`
13×	`cube-unmult_binary64_3184`
12×	`distribute-rgt-out--_binary64_3101`
11×	`associate-+r-_binary64_3081`
9×	`+-rgt-identity_binary64_3132`
8×	`unpow3_binary64_3213` `pow-plus_binary64_3210` `sub0-neg_binary64_3134`
7×	`cube-prod_binary64_3175`
6×	`cube-mult_binary64_3177`
5×	`prod-exp_binary64_3196`
4×	`exp-sum_binary64_3193`
2×	`cube-div_binary64_3176` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `difference-of-squares_binary64_3116`
1×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `exp-diff_binary64_3195` `1-exp_binary64_3191` `rem-sqrt-square_binary64_3160` `pow-sqr_binary64_3120` `difference-of-sqr-1_binary64_3117`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

116 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	2840
1	256	2648
2	720	2588
3	2250	2576
4	4712	2576
5	5026	2576

prune1.1s (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	68	7	75

Error

0.3b

Counts

75 → 7

Compiler

Compiled 13010 to 10527 computations (19.1% saved)

localize125.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
2.6b	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

rewrite1.8s (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

24×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
12×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
8×	`flip3-+_binary64_3150` `frac-add_binary64_3155` `flip-+_binary64_3121`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Counts

4 → 68

Calls

4 calls:

26.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
25.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
24.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
24.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

Compiler

Compiled 15756 to 12877 computations (18.3% saved)

series1.3s (2%)

Error

0.3b

Counts

4 → 48

Calls

4 calls:

176.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
173.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
172.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))
171.0ms	(+.f64 (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))))

Compiler

Compiled 19464 to 16069 computations (17.4% saved)

simplify147.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-l_binary64_3088`
413×	`associate-r_binary64_3087`
369×	`associate-*l/_binary64_3090`
318×	`associate-*r/_binary64_3089`
305×	`distribute-rgt-in_binary64_3097`
274×	`distribute-lft-in_binary64_3096`
226×	`div-sub_binary64_3152`
148×	`associate-/l*_binary64_3092`
138×	`associate-+l+_binary64_3080`
124×	`associate-/r*_binary64_3091`
112×	`associate-+r+_binary64_3079`
103×	`unsub-neg_binary64_3141`
99×	`*-commutative_binary64_3078`
96×	`sub-neg_binary64_3140`
74×	`+-commutative_binary64_3077`
63×	`distribute-rgt-out_binary64_3100`
59×	`associate-/l/_binary64_3094`
56×	`distribute-lft-neg-out_binary64_3106`
54×	`distribute-neg-in_binary64_3108`
51×	`distribute-rgt-neg-out_binary64_3107`
44×	`neg-sub0_binary64_3142` `cancel-sign-sub-inv_binary64_3113`
37×	`distribute-neg-frac_binary64_3111` `associate-/r/_binary64_3093`
35×	`distribute-rgt-neg-in_binary64_3105`
33×	`times-frac_binary64_3153`
30×	`neg-mul-1_binary64_3143`
29×	`sqr-pow_binary64_3119`
27×	`distribute-lft-neg-in_binary64_3104` `distribute-lft-out_binary64_3098`
20×	`associate--r+_binary64_3083`
19×	`associate--l+_binary64_3084`
18×	`distribute-neg-out_binary64_3109`
16×	`unswap-sqr_binary64_3115`
15×	`associate-+l-_binary64_3082`
13×	`cube-unmult_binary64_3184`
12×	`distribute-rgt-out--_binary64_3101`
11×	`associate-+r-_binary64_3081`
9×	`+-rgt-identity_binary64_3132`
8×	`unpow3_binary64_3213` `pow-plus_binary64_3210` `sub0-neg_binary64_3134`
7×	`cube-prod_binary64_3175`
6×	`cube-mult_binary64_3177`
5×	`prod-exp_binary64_3196`
4×	`exp-sum_binary64_3193`
2×	`cube-div_binary64_3176` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `difference-of-squares_binary64_3116`
1×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `exp-diff_binary64_3195` `1-exp_binary64_3191` `rem-sqrt-square_binary64_3160` `pow-sqr_binary64_3120` `difference-of-sqr-1_binary64_3117`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

116 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	2840
1	256	2648
2	720	2588
3	2250	2576
4	4712	2576
5	5026	2576

prune1.4s (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Error

0.3b

Counts

75 → 7

Compiler

Compiled 13212 to 10738 computations (18.7% saved)

regimes4.3s (6.3%)

Accuracy

Total 0.2b remaining (36.2%)

Threshold costs 0.2b (36.2%)

Compiler

Compiled 56228 to 47076 computations (16.3% saved)

bsearch0.0ms (0%)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

33×	`+-commutative_binary64_3077`
19×	`*-commutative_binary64_3078`
17×	`sub-neg_binary64_3140`
4×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
3×	`distribute-neg-frac_binary64_3111`
1×	`1-exp_binary64_3191`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `unpow1_binary64_3205` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `unsub-neg_binary64_3141` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	373
1	145	373
2	170	373
3	181	373
4	186	373
5	187	373
6	184	373

end11.0ms (0%)

Compiler: Compiled 246 to 205 computations (16.7% saved)

sample46.5s (68.7%)

Algorithm

1×

intervals

Results

41.8s	3808×	body	8192	exit
2.5s	8000×	body	128	valid
200.0ms	11900×	pre	128	true
32.0ms	92×	body	128	invalid

Compiler

Compiled 1941 to 1621 computations (16.5% saved)

Details

analyze1.9s (2.8%)

sample1.6s (2.4%)

simplify55.0ms (0.1%)

prune14.0ms (0%)

localize66.0ms (0.1%)

rewrite1.1s (1.7%)

series227.0ms (0.3%)

simplify113.0ms (0.2%)

prune481.0ms (0.7%)

localize59.0ms (0.1%)

rewrite978.0ms (1.4%)

series388.0ms (0.6%)

simplify244.0ms (0.4%)

prune740.0ms (1.1%)

localize93.0ms (0.1%)

rewrite1.6s (2.4%)

series1.1s (1.6%)

simplify148.0ms (0.2%)

prune1.1s (1.7%)

localize125.0ms (0.2%)

rewrite1.8s (2.6%)

series1.3s (2%)

simplify147.0ms (0.2%)

prune1.4s (2.1%)

regimes4.3s (6.3%)

bsearch0.0ms (0%)

simplify16.0ms (0%)

end11.0ms (0%)

sample46.5s (68.7%)

Profiling