Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	255×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify159.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_3078`
2×	`associate-/l*_binary64_3092`
1×	`associate-/r/_binary64_3093` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `+-commutative_binary64_3077`
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` `unpow3_binary64_3213` `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` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `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` `times-frac_binary64_3153` `div-sub_binary64_3152` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `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` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `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` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r_binary64_3091` `associate-l_binary64_3088` `associate-r_binary64_3087` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
2	17	13
3	19	13
4	21	13
5	22	13

prune5.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 27 to 27 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.1b	(*.f64 (/.f64 841 108) x)

rewrite74.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_3169`
13×	`associate-l_binary64_3088`
10×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147` `times-frac_binary64_3153`
7×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
3×	`associate-r_binary64_3087`
2×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `associate-*l/_binary64_3090`
1×	`pow-prod-down_binary64_3218` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `div-inv_binary64_3144` `*-commutative_binary64_3078` `sum-log_binary64_3238` `frac-add_binary64_3155` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

2 → 44

Calls

2 calls:

8.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
8.0ms	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 734 to 657 computations (10.5% saved)

series82.0ms (2.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

46.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
28.0ms	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 122 to 116 computations (4.9% saved)

simplify140.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

633×	`times-frac_binary64_3153`
293×	`associate-l_binary64_3088`
269×	`associate-/r*_binary64_3091`
249×	`distribute-rgt-in_binary64_3097`
240×	`associate-*l/_binary64_3090`
234×	`associate-r_binary64_3087`
226×	`distribute-lft-in_binary64_3096`
200×	`associate-/r/_binary64_3093`
194×	`associate-/l/_binary64_3094`
184×	`associate-*r/_binary64_3089`
179×	`unswap-sqr_binary64_3115`
164×	`associate-/l*_binary64_3092`
111×	`sqr-pow_binary64_3119`
92×	`sub-neg_binary64_3140`
89×	`distribute-rgt-neg-in_binary64_3105`
88×	`*-commutative_binary64_3078`
84×	`associate-+l+_binary64_3080`
80×	`associate-+r+_binary64_3079`
78×	`distribute-neg-frac_binary64_3111`
75×	`cancel-sign-sub-inv_binary64_3113`
69×	`*-rgt-identity_binary64_3137`
68×	`*-lft-identity_binary64_3136`
67×	`pow-sqr_binary64_3120`
65×	`div-sub_binary64_3152`
63×	`distribute-lft-neg-in_binary64_3104`
62×	`distribute-rgt-out_binary64_3100`
59×	`neg-mul-1_binary64_3143`
56×	`unsub-neg_binary64_3141`
55×	`neg-sub0_binary64_3142`
30×	`+-commutative_binary64_3077`
26×	`cube-prod_binary64_3175`
24×	`log-prod_binary64_3233` `distribute-lft-out_binary64_3098`
23×	`exp-prod_binary64_3199`
22×	`distribute-lft-neg-out_binary64_3106`
21×	`cube-div_binary64_3176` `associate-+l-_binary64_3082`
17×	`log-div_binary64_3234`
14×	`unpow3_binary64_3213` `distribute-rgt-out--_binary64_3101` `associate-+r-_binary64_3081`
12×	`sub0-neg_binary64_3134`
11×	`/-rgt-identity_binary64_3138` `distribute-neg-in_binary64_3108`
10×	`cube-mult_binary64_3177` `swap-sqr_binary64_3114`
9×	`mul0-lft_binary64_3129`
8×	`cube-unmult_binary64_3184` `+-rgt-identity_binary64_3132` `mul0-rgt_binary64_3130` `distribute-rgt-neg-out_binary64_3107` `associate--r+_binary64_3083`
5×	`log-pow_binary64_3236` `pow-plus_binary64_3210` `div0_binary64_3128`
4×	`log-rec_binary64_3235` `exp-sum_binary64_3193`
3×	`pow-base-1_binary64_3207` `remove-double-neg_binary64_3135` `distribute-lft-out--_binary64_3099`
2×	`prod-exp_binary64_3196` `difference-of-squares_binary64_3116` `associate--l+_binary64_3084`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `--rgt-identity_binary64_3133` `rgt-mult-inverse_binary64_3124` `count-2_binary64_3095` `associate--r-_binary64_3086` `associate--l-_binary64_3085`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `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` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `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` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `+-lft-identity_binary64_3131` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `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`

Counts

53 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	639
1	245	609
2	648	606
3	1996	606
4	4590	606

prune102.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Error

Counts

71 → 4

Compiler

Compiled 1482 to 1349 computations (9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108)))) (/.f64 4 29))
0.2b	(*.f64 x (sqrt.f64 (/.f64 841 108)))
0.3b	(.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108))))

rewrite178.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`sqrt-prod_binary64_3163`
27×	`add-sqr-sqrt_binary64_3169`
20×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
19×	`associate-l_binary64_3088` `times-frac_binary64_3153`
17×	`associate-r_binary64_3087`
10×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`sqrt-div_binary64_3164`
7×	`associate-*r/_binary64_3089`
5×	`add-log-exp_binary64_3186`
4×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
3×	`unswap-sqr_binary64_3115` `frac-add_binary64_3155`
2×	`frac-times_binary64_3157` `associate-l/_binary64_3090` `div-inv_binary64_3144` `-commutative_binary64_3078`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

3 → 82

Calls

3 calls:

14.0ms	(+.f64 (.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108)))) (/.f64 4 29))
13.0ms	(.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108))))
8.0ms	(*.f64 x (sqrt.f64 (/.f64 841 108)))

Compiler

Compiled 1958 to 1833 computations (6.4% saved)

series243.0ms (7.1%)

Error

Counts

3 → 12

Calls

3 calls:

95.0ms	(+.f64 (.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108)))) (/.f64 4 29))
82.0ms	(.f64 (sqrt.f64 (/.f64 841 108)) (.f64 x (sqrt.f64 (/.f64 841 108))))
53.0ms	(*.f64 x (sqrt.f64 (/.f64 841 108)))

Compiler

Compiled 305 to 296 computations (3% saved)

simplify173.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-/r*_binary64_3091`
558×	`associate-/r/_binary64_3093`
377×	`associate-/l/_binary64_3094`
223×	`*-commutative_binary64_3078`
202×	`associate-*l/_binary64_3090`
178×	`associate-*r/_binary64_3089`
149×	`associate-r_binary64_3087`
147×	`associate-l_binary64_3088`
146×	`distribute-rgt-in_binary64_3097`
128×	`distribute-lft-in_binary64_3096`
96×	`distribute-rgt-neg-in_binary64_3105`
95×	`cancel-sign-sub-inv_binary64_3113`
84×	`distribute-lft-neg-in_binary64_3104` `associate-/l*_binary64_3092`
74×	`distribute-neg-frac_binary64_3111`
69×	`times-frac_binary64_3153`
61×	`sqr-pow_binary64_3119`
38×	`unswap-sqr_binary64_3115`
36×	`distribute-rgt-out_binary64_3100`
35×	`*-rgt-identity_binary64_3137`
33×	`pow-sqr_binary64_3120`
32×	`sub-neg_binary64_3140`
27×	`neg-mul-1_binary64_3143`
26×	`neg-sub0_binary64_3142` `swap-sqr_binary64_3114`
23×	`exp-prod_binary64_3199` `*-lft-identity_binary64_3136`
21×	`log-div_binary64_3234`
18×	`log-prod_binary64_3233` `distribute-rgt-out--_binary64_3101`
17×	`associate-+l+_binary64_3080`
16×	`cube-div_binary64_3176` `distribute-lft-neg-out_binary64_3106`
15×	`+-commutative_binary64_3077`
14×	`associate-+r+_binary64_3079`
13×	`unsub-neg_binary64_3141` `distribute-lft-out_binary64_3098`
12×	`cube-prod_binary64_3175`
10×	`prod-exp_binary64_3196` `rem-sqrt-square_binary64_3160` `distribute-neg-in_binary64_3108`
9×	`exp-sqrt_binary64_3200` `div-exp_binary64_3198`
7×	`unpow3_binary64_3213`
6×	`div-sub_binary64_3152` `/-rgt-identity_binary64_3138` `+-rgt-identity_binary64_3132` `associate-+r-_binary64_3081`
5×	`pow-plus_binary64_3210` `associate-+l-_binary64_3082`
4×	`cube-mult_binary64_3177` `rem-square-sqrt_binary64_3159` `distribute-neg-out_binary64_3109`
3×	`exp-lft-sqr_binary64_3202` `rec-exp_binary64_3197` `cube-unmult_binary64_3184` `sub0-neg_binary64_3134`
2×	`log-rec_binary64_3235` `difference-of-squares_binary64_3116` `distribute-rgt-neg-out_binary64_3107` `count-2_binary64_3095`
1×	`log-pow_binary64_3236` `unpow2_binary64_3212` `unpow1_binary64_3205` `exp-diff_binary64_3195` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `+-lft-identity_binary64_3131` `*-inverses_binary64_3127` `rgt-mult-inverse_binary64_3124` `distribute-rgt1-in_binary64_3103` `distribute-lft-out--_binary64_3099` `associate--l+_binary64_3084`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `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` `mul-1-neg_binary64_3139` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-lft1-in_binary64_3102` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--r+_binary64_3083`

Counts

94 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1661
1	343	1251
2	931	1234
3	2017	1229

prune257.0ms (7.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Error

Counts

151 → 3

Compiler

Compiled 3346 to 3094 computations (7.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108) (/.f64 4 29))
0.3b	(.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841)))
0.5b	(/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108)

rewrite123.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`*-un-lft-identity_binary64_3147`
8×	`pow1_binary64_3208`
7×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
6×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186`
3×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `times-frac_binary64_3153` `associate-/r*_binary64_3091` `pow-prod-down_binary64_3218` `sqrt-prod_binary64_3163`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l_binary64_3092` `associate-r_binary64_3087` `-commutative_binary64_3078` `sum-log_binary64_3238` `frac-add_binary64_3155` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

3 → 57

Calls

3 calls:

14.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108) (/.f64 4 29))
11.0ms	(/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108)
7.0ms	(.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841)))

Compiler

Compiled 1210 to 1121 computations (7.4% saved)

series112.0ms (3.3%)

Error

Counts

3 → 12

Calls

3 calls:

50.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108) (/.f64 4 29))
28.0ms	(/.f64 (.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841))) 108)
28.0ms	(.f64 (sqrt.f64 841) (.f64 x (sqrt.f64 841)))

Compiler

Compiled 203 to 194 computations (4.4% saved)

simplify200.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64_3153`
686×	`associate-/l*_binary64_3092`
313×	`associate-l_binary64_3088`
273×	`associate-*l/_binary64_3090`
265×	`associate-/r*_binary64_3091`
230×	`associate-r_binary64_3087`
216×	`associate-*r/_binary64_3089`
191×	`associate-/l/_binary64_3094`
186×	`associate-/r/_binary64_3093`
168×	`distribute-rgt-out_binary64_3100`
137×	`cancel-sign-sub-inv_binary64_3113`
121×	`distribute-neg-frac_binary64_3111`
97×	`distribute-rgt-neg-in_binary64_3105`
88×	`*-commutative_binary64_3078`
85×	`distribute-lft-neg-in_binary64_3104`
74×	`sub-neg_binary64_3140`
63×	`sqr-pow_binary64_3119`
59×	`distribute-rgt-out--_binary64_3101`
51×	`distribute-rgt-in_binary64_3097`
47×	`log-div_binary64_3234`
41×	`cube-div_binary64_3176` `div-sub_binary64_3152`
39×	`distribute-lft-in_binary64_3096`
37×	`unswap-sqr_binary64_3115`
30×	`neg-sub0_binary64_3142` `pow-sqr_binary64_3120`
29×	`neg-mul-1_binary64_3143`
28×	`swap-sqr_binary64_3114`
27×	`log-prod_binary64_3233`
25×	`cube-prod_binary64_3175`
20×	`exp-prod_binary64_3199` `+-commutative_binary64_3077`
19×	`distribute-lft-neg-out_binary64_3106`
18×	`associate-+l+_binary64_3080`
17×	`*-rgt-identity_binary64_3137`
16×	`unpow3_binary64_3213`
15×	`associate-+r+_binary64_3079`
14×	`*-lft-identity_binary64_3136` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
11×	`/-rgt-identity_binary64_3138`
10×	`cube-mult_binary64_3177`
9×	`unsub-neg_binary64_3141` `associate--l+_binary64_3084`
8×	`+-rgt-identity_binary64_3132` `associate--l-_binary64_3085`
7×	`sub0-neg_binary64_3134`
6×	`cube-unmult_binary64_3184` `distribute-neg-in_binary64_3108`
5×	`distribute-rgt-neg-out_binary64_3107`
3×	`log-rec_binary64_3235` `div0_binary64_3128`
2×	`pow-plus_binary64_3210` `pow-base-1_binary64_3207` `prod-exp_binary64_3196` `difference-of-squares_binary64_3116`
1×	`log-pow_binary64_3236` `1-exp_binary64_3191` `rem-log-exp_binary64_3188` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `count-2_binary64_3095`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `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` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `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` `mul-1-neg_binary64_3139` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `*-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` `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-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `associate--r-_binary64_3086` `associate--r+_binary64_3083`

Counts

69 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1117
1	273	713
2	860	710
3	4069	710

prune359.0ms (10.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	197	3	200

Error

Counts

200 → 3

Compiler

Compiled 4523 to 4135 computations (8.6% saved)

regimes185.0ms (5.4%)

Accuracy

Total 0.1b remaining (98.5%)

Threshold costs 0.1b (98.5%)

Compiler

Compiled 1359 to 1332 computations (2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_3078 +-commutative_binary64_3077

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 1-exp_binary64_3191 exp-1-e_binary64_3190 exp-0_binary64_3189 sqr-abs_binary64_3162 sqr-neg_binary64_3161 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 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-neg-frac_binary64_3111 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	10	13
1	12	13

Proof

(+ f64 (* f64 (/ f64 841 108) h0) (/ f64 4 29))

end0.0ms (0%)

sample970.0ms (28.4%)

Algorithm

1×

intervals

Results

218.0ms	7993×	body	128	valid
0.0ms	4×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 462 to 454 computations (1.7% saved)

Details

analyze4.0ms (0.1%)

sample21.0ms (0.6%)

simplify159.0ms (4.7%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite74.0ms (2.2%)

series82.0ms (2.4%)

simplify140.0ms (4.1%)

prune102.0ms (3%)

localize8.0ms (0.2%)

rewrite178.0ms (5.2%)

series243.0ms (7.1%)

simplify173.0ms (5.1%)

prune257.0ms (7.5%)

localize8.0ms (0.2%)

rewrite123.0ms (3.6%)

series112.0ms (3.3%)

simplify200.0ms (5.9%)

prune359.0ms (10.5%)

regimes185.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample970.0ms (28.4%)

Profiling