Details

analyze422.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

839×	`unsub-neg_binary64_3141`
739×	`sub-neg_binary64_3140`
608×	`neg-mul-1_binary64_3143`
563×	`+-commutative_binary64_3077`
473×	`distribute-neg-in_binary64_3108`
431×	`neg-sub0_binary64_3142`
406×	`distribute-lft-neg-out_binary64_3106`
402×	`distribute-rgt-out--_binary64_3101`
326×	`distribute-rgt-in_binary64_3097`
313×	`distribute-neg-out_binary64_3109`
297×	`associate--r-_binary64_3086`
292×	`distribute-rgt-out_binary64_3100`
284×	`associate--l-_binary64_3085`
260×	`distribute-rgt-neg-in_binary64_3105`
234×	`distribute-lft-in_binary64_3096`
224×	`cancel-sign-sub-inv_binary64_3113`
191×	`remove-double-neg_binary64_3135`
184×	`distribute-lft-neg-in_binary64_3104`
179×	`distribute-rgt-neg-out_binary64_3107`
165×	`cancel-sign-sub_binary64_3112`
150×	`associate--r+_binary64_3083`
126×	`associate-l_binary64_3088`
122×	`associate-+r+_binary64_3079`
102×	`distribute-lft-out_binary64_3098`
101×	`associate-+l+_binary64_3080`
99×	`associate-r_binary64_3087`
91×	`associate--l+_binary64_3084`
75×	`associate-+l-_binary64_3082`
72×	`sub0-neg_binary64_3134`
56×	`distribute-lft-out--_binary64_3099`
52×	`*-commutative_binary64_3078`
36×	`mul0-lft_binary64_3129`
34×	`mul0-rgt_binary64_3130`
24×	`sqr-pow_binary64_3119`
21×	`associate-+r-_binary64_3081`
20×	`+-rgt-identity_binary64_3132` `distribute-rgt1-in_binary64_3103`
18×	`--rgt-identity_binary64_3133`
14×	`cube-prod_binary64_3175` `+-lft-identity_binary64_3131` `swap-sqr_binary64_3114`
12×	`mul-1-neg_binary64_3139`
10×	`*-lft-identity_binary64_3136` `count-2_binary64_3095`
6×	`sqr-neg_binary64_3161`
4×	`cube-unmult_binary64_3184` `distribute-lft1-in_binary64_3102`
2×	`difference-of-squares_binary64_3116`
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` `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` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-div_binary64_3176` `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` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `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` `unswap-sqr_binary64_3115` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	47	66
2	111	66
3	291	40
4	781	40
5	2372	40
6	3310	40
7	4399	40
8	4904	40
9	4602	40
10	4581	40
11	4266	40
12	4895	40
13	4931	40
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify145.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

686×	`unsub-neg_binary64_3141`
584×	`sub-neg_binary64_3140`
484×	`distribute-rgt-neg-in_binary64_3105`
430×	`distribute-neg-in_binary64_3108`
428×	`distribute-lft-neg-out_binary64_3106`
399×	`cancel-sign-sub-inv_binary64_3113`
320×	`neg-sub0_binary64_3142`
299×	`neg-mul-1_binary64_3143`
287×	`distribute-rgt-out_binary64_3100`
266×	`+-commutative_binary64_3077`
257×	`distribute-neg-out_binary64_3109`
255×	`distribute-rgt-out--_binary64_3101`
250×	`unswap-sqr_binary64_3115`
244×	`associate--l+_binary64_3084`
242×	`distribute-lft-out--_binary64_3099`
239×	`distribute-rgt-neg-out_binary64_3107`
189×	`associate-+l-_binary64_3082`
169×	`*-commutative_binary64_3078`
156×	`distribute-rgt-in_binary64_3097`
152×	`remove-double-neg_binary64_3135`
145×	`associate-r_binary64_3087`
132×	`associate-l_binary64_3088`
127×	`distribute-lft-neg-in_binary64_3104`
114×	`distribute-lft-in_binary64_3096`
74×	`associate-+r+_binary64_3079`
71×	`sub0-neg_binary64_3134`
68×	`associate-+r-_binary64_3081`
61×	`associate-+l+_binary64_3080`
60×	`associate--l-_binary64_3085`
59×	`associate--r-_binary64_3086`
58×	`sqr-pow_binary64_3119`
54×	`distribute-lft-out_binary64_3098`
51×	`associate--r+_binary64_3083`
24×	`*-lft-identity_binary64_3136`
23×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
18×	`+-rgt-identity_binary64_3132`
17×	`pow-sqr_binary64_3120`
16×	`--rgt-identity_binary64_3133`
15×	`cube-prod_binary64_3175`
14×	`distribute-rgt1-in_binary64_3103`
11×	`cube-unmult_binary64_3184` `count-2_binary64_3095`
8×	`pow-plus_binary64_3210`
7×	`unpow3_binary64_3213` `mul-1-neg_binary64_3139` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112`
5×	`rem-sqrt-square_binary64_3160`
4×	`unpow2_binary64_3212` `+-lft-identity_binary64_3131`
3×	`unpow1_binary64_3205`
2×	`unpow1/2_binary64_3211` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `difference-of-squares_binary64_3116` `distribute-lft1-in_binary64_3102`
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` `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` `prod-exp_binary64_3196` `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-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-div_binary64_3176` `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` `times-frac_binary64_3153` `div-sub_binary64_3152` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `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` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	29	33
2	68	33
3	177	20
4	468	20
5	1288	20
6	2217	20
7	3201	20
8	3667	20
9	3742	20
10	3828	20
11	3959	20
12	4290	20
13	4956	20

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

6.8b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
0.2b	(.f64 (.f64 x.im x.im) -3)
6.7b	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))

rewrite86.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

17×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`add-sqr-sqrt_binary64_3169`
5×	`add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`*-commutative_binary64_3078`
1×	`unswap-sqr_binary64_3115` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `cube-mult_binary64_3177` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

3 → 52

Calls

3 calls:

11.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
8.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
6.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 947 to 550 computations (41.9% saved)

series400.0ms (7.9%)

Error

6.7b

Counts

3 → 21

Calls

3 calls:

231.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
114.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
38.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 555 to 476 computations (14.2% saved)

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

416×	`distribute-rgt-neg-in_binary64_3105`
381×	`*-commutative_binary64_3078`
363×	`cancel-sign-sub-inv_binary64_3113`
312×	`distribute-lft-neg-in_binary64_3104`
294×	`distribute-rgt-in_binary64_3097`
232×	`cube-prod_binary64_3175`
227×	`exp-prod_binary64_3199`
218×	`log-prod_binary64_3233`
190×	`distribute-rgt-out_binary64_3100`
182×	`unswap-sqr_binary64_3115`
161×	`associate-l_binary64_3088`
157×	`associate-r_binary64_3087`
147×	`distribute-lft-neg-out_binary64_3106`
142×	`distribute-lft-out_binary64_3098`
134×	`distribute-rgt-neg-out_binary64_3107`
117×	`sqr-pow_binary64_3119`
94×	`neg-sub0_binary64_3142`
93×	`neg-mul-1_binary64_3143`
88×	`swap-sqr_binary64_3114`
81×	`unsub-neg_binary64_3141`
66×	`distribute-rgt-out--_binary64_3101`
56×	`distribute-lft-in_binary64_3096`
55×	`sub-neg_binary64_3140`
51×	`times-frac_binary64_3153`
34×	`unpow3_binary64_3213`
28×	`associate-+l+_binary64_3080`
26×	`cube-mult_binary64_3177` `distribute-neg-out_binary64_3109` `+-commutative_binary64_3077`
25×	`associate-+r+_binary64_3079`
22×	`exp-diff_binary64_3195` `distribute-lft-out--_binary64_3099`
21×	`exp-sum_binary64_3193`
19×	`cube-neg_binary64_3174` `sqr-neg_binary64_3161` `pow-sqr_binary64_3120`
16×	`pow-plus_binary64_3210`
12×	`exp-lft-cube_binary64_3203` `remove-double-neg_binary64_3135`
11×	`distribute-neg-in_binary64_3108`
8×	`cube-unmult_binary64_3184` `*-rgt-identity_binary64_3137` `difference-of-squares_binary64_3116`
7×	`associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
5×	`unpow1/2_binary64_3211` `-lft-identity_binary64_3136` `sub0-neg_binary64_3134` `associate-/l_binary64_3092`
4×	`rem-sqrt-square_binary64_3160` `+-rgt-identity_binary64_3132`
3×	`log-pow_binary64_3236` `prod-exp_binary64_3196` `exp-neg_binary64_3194`
2×	`unpow2_binary64_3212` `unpow1_binary64_3205` `associate--r-_binary64_3086`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `div-sub_binary64_3152` `--rgt-identity_binary64_3133` `distribute-frac-neg_binary64_3110` `count-2_binary64_3095` `associate--l-_binary64_3085` `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` `log-rec_binary64_3235` `log-div_binary64_3234` `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-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `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` `+-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` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate--r+_binary64_3083`

Counts

73 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1141
1	228	1053
2	863	1041
3	1999	1038
4	4564	1038
5	4951	1038

prune59.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Error

6.8b

Counts

50 → 4

Compiler

Compiled 788 to 604 computations (23.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 -3 (.f64 (pow.f64 x.im 2) x.re)) (pow.f64 x.re 3))
0.2b	(.f64 -3 (.f64 (pow.f64 x.im 2) x.re))
6.7b	(*.f64 (pow.f64 x.im 2) x.re)

rewrite101.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64_3185`
13×	`add-sqr-sqrt_binary64_3169`
11×	`associate-l_binary64_3088`
10×	`prod-exp_binary64_3196` `add-cbrt-cube_binary64_3183`
7×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
4×	`cbrt-unprod_binary64_3180` `unpow-prod-down_binary64_3226` `unswap-sqr_binary64_3115` `associate-r_binary64_3087`
2×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `unpow2_binary64_3212` `sqr-pow_binary64_3119` `*-commutative_binary64_3078`
1×	`pow-prod-down_binary64_3218` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

3 → 57

Calls

3 calls:

12.0ms	(+.f64 (.f64 -3 (.f64 (pow.f64 x.im 2) x.re)) (pow.f64 x.re 3))
6.0ms	(.f64 -3 (.f64 (pow.f64 x.im 2) x.re))
6.0ms	(*.f64 (pow.f64 x.im 2) x.re)

Compiler

Compiled 1047 to 770 computations (26.5% saved)

series464.0ms (9.2%)

Error

6.7b

Counts

3 → 24

Calls

3 calls:

244.0ms	(+.f64 (.f64 -3 (.f64 (pow.f64 x.im 2) x.re)) (pow.f64 x.re 3))
116.0ms	(.f64 -3 (.f64 (pow.f64 x.im 2) x.re))
86.0ms	(*.f64 (pow.f64 x.im 2) x.re)

Compiler

Compiled 654 to 560 computations (14.4% saved)

simplify121.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

318×	`*-commutative_binary64_3078`
286×	`cancel-sign-sub-inv_binary64_3113`
285×	`distribute-rgt-neg-in_binary64_3105`
278×	`log-prod_binary64_3233`
273×	`distribute-rgt-in_binary64_3097`
270×	`unswap-sqr_binary64_3115`
255×	`exp-prod_binary64_3199`
251×	`cube-prod_binary64_3175`
219×	`distribute-lft-neg-in_binary64_3104`
201×	`distribute-lft-out_binary64_3098`
200×	`distribute-rgt-out_binary64_3100`
129×	`associate-r_binary64_3087`
122×	`associate-l_binary64_3088`
121×	`distribute-lft-neg-out_binary64_3106`
112×	`distribute-rgt-neg-out_binary64_3107`
110×	`sqr-pow_binary64_3119`
99×	`unpow3_binary64_3213`
92×	`unsub-neg_binary64_3141`
74×	`neg-sub0_binary64_3142`
73×	`neg-mul-1_binary64_3143`
65×	`swap-sqr_binary64_3114`
63×	`distribute-rgt-out--_binary64_3101`
52×	`sub-neg_binary64_3140` `distribute-lft-in_binary64_3096`
34×	`distribute-lft-out--_binary64_3099`
33×	`distribute-neg-out_binary64_3109`
27×	`cube-mult_binary64_3177`
26×	`associate-+l+_binary64_3080`
23×	`associate-+r+_binary64_3079`
22×	`log-pow_binary64_3236` `pow-plus_binary64_3210`
21×	`exp-diff_binary64_3195`
19×	`pow-sqr_binary64_3120` `+-commutative_binary64_3077`
15×	`distribute-neg-in_binary64_3108`
14×	`exp-sum_binary64_3193` `cube-unmult_binary64_3184`
11×	`remove-double-neg_binary64_3135`
10×	`exp-lft-cube_binary64_3203`
9×	`*-rgt-identity_binary64_3137` `difference-of-squares_binary64_3116`
8×	`associate-+r-_binary64_3081`
7×	`rem-sqrt-square_binary64_3160` `*-lft-identity_binary64_3136` `associate-+l-_binary64_3082`
6×	`unpow1/2_binary64_3211`
5×	`cube-neg_binary64_3174` `+-rgt-identity_binary64_3132` `associate-/l*_binary64_3092`
4×	`unpow2_binary64_3212` `sqr-neg_binary64_3161` `sub0-neg_binary64_3134`
3×	`unpow1_binary64_3205` `prod-exp_binary64_3196`
2×	`associate--r-_binary64_3086`
1×	`exp-neg_binary64_3194` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-square-sqrt_binary64_3159` `--rgt-identity_binary64_3133` `cancel-sign-sub_binary64_3112` `associate--l-_binary64_3085` `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` `log-rec_binary64_3235` `log-div_binary64_3234` `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-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `+-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` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate--r+_binary64_3083`

Counts

81 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	98	1275
1	228	1158
2	774	1154
3	1803	1151
4	4519	1149
5	4943	1149
6	4962	1149

prune67.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Compiler

Compiled 884 to 654 computations (26% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))) (pow.f64 x.re 3))

0.2b

(*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))

0.2b

(*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re)))

rewrite120.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-exp-log_binary64_3185`
25×	`prod-exp_binary64_3196`
17×	`add-cbrt-cube_binary64_3183`
10×	`associate-l_binary64_3088`
9×	`cbrt-unprod_binary64_3180`
6×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
4×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215`
3×	`unpow-prod-down_binary64_3226`
2×	`associate-r_binary64_3087` `*-commutative_binary64_3078`
1×	`pow-prod-down_binary64_3218` `sqr-pow_binary64_3119` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

3 → 58

Calls

3 calls:

11.0ms

(+.f64 (*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))) (pow.f64 x.re 3))

9.0ms

(*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re)))

7.0ms

(*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))

Compiler

Compiled 1432 to 983 computations (31.4% saved)

series436.0ms (8.7%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

223.0ms

(+.f64 (*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))) (pow.f64 x.re 3))

107.0ms

(*.f64 -3 (*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re)))

89.0ms

(*.f64 (pow.f64 x.im (/.f64 2 2)) (*.f64 x.im x.re))

Compiler

Compiled 654 to 560 computations (14.4% saved)

simplify131.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64_3078`
405×	`exp-prod_binary64_3199`
403×	`distribute-rgt-neg-in_binary64_3105`
395×	`log-prod_binary64_3233`
378×	`cancel-sign-sub-inv_binary64_3113`
335×	`distribute-lft-neg-in_binary64_3104`
201×	`distribute-rgt-out_binary64_3100`
199×	`associate-r_binary64_3087`
176×	`cube-prod_binary64_3175`
174×	`associate-l_binary64_3088`
157×	`unswap-sqr_binary64_3115`
146×	`sqr-pow_binary64_3119`
143×	`distribute-lft-neg-out_binary64_3106`
132×	`distribute-rgt-neg-out_binary64_3107`
106×	`swap-sqr_binary64_3114`
93×	`neg-sub0_binary64_3142`
92×	`neg-mul-1_binary64_3143` `unsub-neg_binary64_3141`
78×	`unpow3_binary64_3213`
71×	`distribute-rgt-out--_binary64_3101`
67×	`distribute-rgt-in_binary64_3097`
56×	`sub-neg_binary64_3140` `distribute-lft-in_binary64_3096`
33×	`log-pow_binary64_3236` `distribute-neg-out_binary64_3109`
31×	`associate-+l+_binary64_3080`
28×	`associate-+r+_binary64_3079`
27×	`pow-sqr_binary64_3120`
26×	`pow-plus_binary64_3210`
24×	`+-commutative_binary64_3077`
20×	`cube-mult_binary64_3177` `distribute-neg-in_binary64_3108`
17×	`distribute-lft-out_binary64_3098`
14×	`remove-double-neg_binary64_3135`
13×	`exp-lft-cube_binary64_3203`
11×	`cube-unmult_binary64_3184`
10×	`associate-/l*_binary64_3092`
9×	`exp-diff_binary64_3195` `difference-of-squares_binary64_3116`
8×	`prod-exp_binary64_3196` `associate-+r-_binary64_3081`
7×	`distribute-lft-out--_binary64_3099` `associate-+l-_binary64_3082`
6×	`rem-sqrt-square_binary64_3160`
5×	`cube-neg_binary64_3174` `+-rgt-identity_binary64_3132` `cancel-sign-sub_binary64_3112`
4×	`exp-sum_binary64_3193` `sqr-neg_binary64_3161` `sub0-neg_binary64_3134`
3×	`unpow1/2_binary64_3211` `unpow1_binary64_3205`
2×	`unpow2_binary64_3212` `*-rgt-identity_binary64_3137` `associate--r-_binary64_3086`
1×	`1-exp_binary64_3191` `--rgt-identity_binary64_3133` `distribute-rgt1-in_binary64_3103` `associate--l-_binary64_3085` `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` `log-rec_binary64_3235` `log-div_binary64_3234` `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-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `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` `cube-div_binary64_3176` `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` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-lft-identity_binary64_3136` `+-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` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-lft1-in_binary64_3102` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-*r/_binary64_3089` `associate--r+_binary64_3083`

Counts

82 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	1283
1	241	1172
2	967	1157
3	2328	1157
4	4471	1155
5	4941	1155
6	4943	1155

prune63.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Error

0.0b

Counts

61 → 6

Compiler

Compiled 921 to 703 computations (23.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 -3 x.im) (*.f64 x.im x.re)) (pow.f64 x.re 3))
0.3b	(.f64 (.f64 -3 x.im) (*.f64 x.im x.re))

rewrite59.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`add-log-exp_binary64_3186`
2×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
1×	`associate-l_binary64_3088` `associate-r_binary64_3087` `*-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

2 → 33

Calls

2 calls:

10.0ms	(+.f64 (.f64 (.f64 -3 x.im) (*.f64 x.im x.re)) (pow.f64 x.re 3))
7.0ms	(.f64 (.f64 -3 x.im) (*.f64 x.im x.re))

Compiler

Compiled 650 to 378 computations (41.8% saved)

series358.0ms (7.1%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

235.0ms	(+.f64 (.f64 (.f64 -3 x.im) (*.f64 x.im x.re)) (pow.f64 x.re 3))
109.0ms	(.f64 (.f64 -3 x.im) (*.f64 x.im x.re))

Compiler

Compiled 456 to 392 computations (14% saved)

simplify114.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

440×	`cancel-sign-sub-inv_binary64_3113`
383×	`*-commutative_binary64_3078`
377×	`distribute-rgt-neg-in_binary64_3105`
300×	`distribute-lft-neg-in_binary64_3104`
266×	`distribute-lft-out_binary64_3098`
228×	`exp-prod_binary64_3199`
221×	`cube-prod_binary64_3175`
220×	`distribute-rgt-out_binary64_3100`
217×	`unswap-sqr_binary64_3115`
202×	`log-prod_binary64_3233`
166×	`associate-l_binary64_3088`
163×	`distribute-lft-neg-out_binary64_3106`
154×	`associate-r_binary64_3087`
149×	`distribute-rgt-neg-out_binary64_3107`
110×	`sqr-pow_binary64_3119`
99×	`swap-sqr_binary64_3114`
98×	`unsub-neg_binary64_3141`
93×	`neg-sub0_binary64_3142`
92×	`neg-mul-1_binary64_3143`
79×	`distribute-rgt-out--_binary64_3101`
69×	`distribute-rgt-in_binary64_3097`
62×	`sub-neg_binary64_3140`
60×	`distribute-lft-in_binary64_3096`
57×	`times-frac_binary64_3153`
55×	`unpow3_binary64_3213`
39×	`distribute-lft-out--_binary64_3099`
33×	`distribute-neg-out_binary64_3109`
28×	`associate-+l+_binary64_3080`
26×	`cube-mult_binary64_3177`
25×	`exp-diff_binary64_3195` `distribute-neg-in_binary64_3108`
22×	`associate-+r+_binary64_3079`
20×	`cube-neg_binary64_3174`
18×	`+-commutative_binary64_3077`
17×	`remove-double-neg_binary64_3135`
16×	`exp-sum_binary64_3193` `pow-sqr_binary64_3120`
14×	`sqr-neg_binary64_3161`
13×	`pow-plus_binary64_3210`
12×	`exp-lft-cube_binary64_3203` `prod-exp_binary64_3196`
9×	`difference-of-squares_binary64_3116`
8×	`associate-+r-_binary64_3081`
7×	`cube-unmult_binary64_3184` `associate-+l-_binary64_3082`
5×	`log-pow_binary64_3236` `+-rgt-identity_binary64_3132`
4×	`sub0-neg_binary64_3134` `cancel-sign-sub_binary64_3112`
2×	`unpow2_binary64_3212` `associate-/l*_binary64_3092` `associate--r-_binary64_3086`
1×	`unpow1/2_binary64_3211` `unpow1_binary64_3205` `exp-neg_binary64_3194` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-sqrt-square_binary64_3160` `--rgt-identity_binary64_3133` `count-2_binary64_3095` `associate--l-_binary64_3085` `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` `log-rec_binary64_3235` `log-div_binary64_3234` `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-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `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` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `+-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` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate--r+_binary64_3083`

Counts

51 → 33

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	889
1	203	844
2	800	833
3	1970	829
4	4613	827
5	4947	827
6	4962	827

prune35.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	33	6	39

Error

0.0b

Counts

39 → 6

Compiler

Compiled 517 to 397 computations (23.2% saved)

regimes248.0ms (4.9%)

Accuracy

Total 0.2b remaining (93.2%)

Threshold costs 0.2b (93.2%)

Compiler

Compiled 2328 to 1830 computations (21.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_3078`
1×	`+-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	12	20
1	16	20
2	16	20

end0.0ms (0%)

sample1.4s (28.7%)

Algorithm

1×

intervals

Results

362.0ms	8000×	body	128	valid
21.0ms	397×	body	128	invalid

Compiler

Compiled 810 to 634 computations (21.7% saved)

Details

analyze422.0ms (8.4%)

sample21.0ms (0.4%)

simplify145.0ms (2.9%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite86.0ms (1.7%)

series400.0ms (7.9%)

simplify96.0ms (1.9%)

prune59.0ms (1.2%)

localize7.0ms (0.1%)

rewrite101.0ms (2%)

series464.0ms (9.2%)

simplify121.0ms (2.4%)

prune67.0ms (1.3%)

localize10.0ms (0.2%)

rewrite120.0ms (2.4%)

series436.0ms (8.7%)

simplify131.0ms (2.6%)

prune63.0ms (1.3%)

localize8.0ms (0.2%)

rewrite59.0ms (1.2%)

series358.0ms (7.1%)

simplify114.0ms (2.3%)

prune35.0ms (0.7%)

regimes248.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (28.7%)

Profiling