Details

analyze264.0ms (9.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`+-commutative_binary64_3077`
5×	`associate-l_binary64_3088` `*-commutative_binary64_3078`
4×	`*-lft-identity_binary64_3136` `distribute-rgt1-in_binary64_3103` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
3×	`associate-r_binary64_3087` `associate-+l+_binary64_3080`
2×	`*-rgt-identity_binary64_3137` `distribute-rgt-out_binary64_3100` `associate-+r+_binary64_3079`
1×	`1-exp_binary64_3191` `swap-x-y`
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-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` `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-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-*r/_binary64_3089` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	17	20
2	23	20
3	29	20
4	41	20
5	33	20
6	46	20
7	46	20
8	47	20
9	45	20
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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`distribute-rgt-in_binary64_3097` `*-commutative_binary64_3078` `+-commutative_binary64_3077`
4×	`distribute-lft-in_binary64_3096` `associate-l_binary64_3088` `associate-r_binary64_3087`
3×	`-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `distribute-rgt1-in_binary64_3103` `distribute-rgt-out_binary64_3100` `associate-+r+_binary64_3079`
2×	`associate-+l+_binary64_3080`
1×	`1-exp_binary64_3191` `distribute-lft1-in_binary64_3102`
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-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` `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-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-*r/_binary64_3089` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	20	10
3	26	10
4	34	10
5	36	10
6	42	10
7	45	10
8	47	10
9	45	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
0.0b	(+.f64 (*.f64 x y) x)

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238` `*-un-lft-identity_binary64_3147`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`
1×	`distribute-lft-out_binary64_3098` `associate-+l+_binary64_3080`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 363 to 90 computations (75.2% saved)

series182.0ms (6.8%)

Error

Counts

2 → 21

Calls

2 calls:

94.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
74.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

577×	`associate--r+_binary64_3083`
429×	`distribute-rgt-out_binary64_3100`
416×	`associate--l+_binary64_3084`
347×	`sub-neg_binary64_3140`
315×	`distribute-rgt-in_binary64_3097`
291×	`distribute-lft-in_binary64_3096`
260×	`*-commutative_binary64_3078`
240×	`+-commutative_binary64_3077`
175×	`cancel-sign-sub-inv_binary64_3113`
164×	`distribute-rgt-out--_binary64_3101`
147×	`associate-l_binary64_3088`
133×	`distribute-rgt-neg-in_binary64_3105`
125×	`associate-r_binary64_3087`
117×	`associate--r-_binary64_3086`
113×	`unswap-sqr_binary64_3115`
104×	`distribute-neg-in_binary64_3108`
102×	`distribute-lft-neg-in_binary64_3104`
98×	`distribute-lft-out_binary64_3098`
95×	`associate-+l+_binary64_3080`
84×	`associate-+l-_binary64_3082`
78×	`unsub-neg_binary64_3141`
71×	`distribute-lft-out--_binary64_3099`
68×	`associate-+r+_binary64_3079`
65×	`associate-+r-_binary64_3081`
58×	`distribute-rgt1-in_binary64_3103`
56×	`sqr-pow_binary64_3119`
55×	`associate--l-_binary64_3085`
44×	`neg-mul-1_binary64_3143`
40×	`neg-sub0_binary64_3142` `distribute-lft-neg-out_binary64_3106`
37×	`distribute-lft1-in_binary64_3102`
36×	`sub0-neg_binary64_3134`
35×	`exp-sum_binary64_3193`
24×	`+-rgt-identity_binary64_3132`
17×	`distribute-rgt-neg-out_binary64_3107`
14×	`exp-prod_binary64_3199` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112`
12×	`pow-plus_binary64_3210` `pow-sqr_binary64_3120`
11×	`cube-prod_binary64_3175`
9×	`cube-unmult_binary64_3184`
8×	`difference-of-squares_binary64_3116` `associate-/l/_binary64_3094`
7×	`log-prod_binary64_3233`
6×	`remove-double-neg_binary64_3135` `associate-/l*_binary64_3092`
5×	`unpow3_binary64_3213` `cube-mult_binary64_3177` `associate-*r/_binary64_3089`
4×	`prod-exp_binary64_3196` `exp-diff_binary64_3195` `distribute-neg-out_binary64_3109`
3×	`*-lft-identity_binary64_3136`
2×	`-rgt-identity_binary64_3137` `difference-of-sqr--1_binary64_3118` `associate-/r/_binary64_3093` `associate-/r_binary64_3091`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `+-lft-identity_binary64_3131` `associate-*l/_binary64_3090`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `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` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `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` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `--rgt-identity_binary64_3133` `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_3117` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `count-2_binary64_3095`

Counts

46 → 32

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	520
1	160	493
2	462	487
3	1550	484
4	2627	484
5	4983	484

prune27.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 371 to 223 computations (39.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
0.0b	(*.f64 (+.f64 y 1) x)

rewrite41.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
3×	`associate-r_binary64_3087`
2×	`flip3-+_binary64_3150` `associate-*l/_binary64_3090` `flip-+_binary64_3121`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-lft-out_binary64_3098` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 (*.f64 (+.f64 y 1) x) y)
6.0ms	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 455 to 296 computations (34.9% saved)

series170.0ms (6.4%)

Error

Counts

2 → 21

Calls

2 calls:

88.0ms	(+.f64 (*.f64 (+.f64 y 1) x) y)
70.0ms	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

862×	`sub-neg_binary64_3140`
333×	`associate--r+_binary64_3083`
291×	`*-commutative_binary64_3078`
278×	`cancel-sign-sub-inv_binary64_3113`
246×	`distribute-rgt-in_binary64_3097`
227×	`distribute-lft-in_binary64_3096`
209×	`associate--l+_binary64_3084`
199×	`associate-l_binary64_3088`
194×	`+-commutative_binary64_3077`
186×	`distribute-rgt-out_binary64_3100`
174×	`unswap-sqr_binary64_3115`
159×	`neg-mul-1_binary64_3143`
155×	`sqr-pow_binary64_3119`
150×	`associate-r_binary64_3087`
149×	`unsub-neg_binary64_3141`
122×	`neg-sub0_binary64_3142`
115×	`distribute-neg-in_binary64_3108`
113×	`distribute-rgt-neg-in_binary64_3105`
98×	`distribute-rgt-out--_binary64_3101`
97×	`associate-+l-_binary64_3082`
80×	`distribute-lft-neg-in_binary64_3104`
74×	`distribute-lft-out_binary64_3098`
67×	`associate--r-_binary64_3086`
64×	`associate-+r-_binary64_3081`
61×	`exp-sum_binary64_3193`
59×	`sub0-neg_binary64_3134`
58×	`exp-prod_binary64_3199`
56×	`pow-sqr_binary64_3120`
52×	`div-sub_binary64_3152`
36×	`remove-double-neg_binary64_3135`
33×	`rem-sqrt-square_binary64_3160` `associate-+l+_binary64_3080`
32×	`+-rgt-identity_binary64_3132`
30×	`associate-+r+_binary64_3079`
29×	`exp-diff_binary64_3195` `associate--l-_binary64_3085`
28×	`cube-prod_binary64_3175`
27×	`*-lft-identity_binary64_3136`
23×	`*-rgt-identity_binary64_3137`
20×	`distribute-lft-neg-out_binary64_3106`
18×	`log-prod_binary64_3233`
16×	`distribute-rgt1-in_binary64_3103`
15×	`distribute-lft1-in_binary64_3102`
11×	`pow-plus_binary64_3210`
10×	`distribute-rgt-neg-out_binary64_3107`
9×	`cube-unmult_binary64_3184` `associate-/l*_binary64_3092`
8×	`--rgt-identity_binary64_3133`
7×	`unpow3_binary64_3213` `unpow1/2_binary64_3211` `+-lft-identity_binary64_3131` `swap-sqr_binary64_3114` `associate-/l/_binary64_3094`
5×	`cube-neg_binary64_3174` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
4×	`associate-*r/_binary64_3089`
3×	`cube-mult_binary64_3177` `sqr-neg_binary64_3161`
2×	`unpow2_binary64_3212` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `associate-/r/_binary64_3093` `associate-/r*_binary64_3091`
1×	`prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `/-rgt-identity_binary64_3138` `+-inverses_binary64_3126` `difference-of-sqr-1_binary64_3117` `count-2_binary64_3095` `associate-*l/_binary64_3090`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `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` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `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` `times-frac_binary64_3153` `mul-1-neg_binary64_3139` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110`

Counts

53 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	554
1	170	533
2	431	527
3	1288	527
4	1744	527
5	3630	527
6	4543	527
7	4969	527

prune24.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 422 to 118 computations (72% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 (+.f64 y 1) x))
0.0b	(*.f64 (+.f64 y 1) x)
0.0b	(pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3)
41.3b	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3))

rewrite116.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
12×	`add-cube-cbrt_binary64_3182` `cbrt-prod_binary64_3178`
7×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`add-log-exp_binary64_3186` `unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
4×	`flip3-+_binary64_3150` `cube-div_binary64_3176` `flip-+_binary64_3121` `associate-l_binary64_3088`
3×	`pow-unpow_binary64_3224` `associate-r_binary64_3087`
2×	`cbrt-div_binary64_3179` `unpow3_binary64_3213` `cube-mult_binary64_3177` `sqr-pow_binary64_3119` `associate-*l/_binary64_3090`
1×	`pow1/3_binary64_3229` `rem-cbrt-cube_binary64_3171` `pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-lft-out_binary64_3098` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 (+.f64 y 1) x)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3))
4.0ms	(pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3)
3.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))

Compiler

Compiled 1574 to 1126 computations (28.5% saved)

series617.0ms (23.1%)

Error

Counts

4 → 57

Calls

4 calls:

240.0ms	(pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3)
106.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 3))
103.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))
86.0ms	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 3014 to 2323 computations (22.9% saved)

simplify98.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64_3097`
531×	`distribute-lft-in_binary64_3096`
381×	`unswap-sqr_binary64_3115`
210×	`associate-+r+_binary64_3079`
197×	`distribute-rgt-out_binary64_3100`
139×	`associate-l_binary64_3088` `associate-r_binary64_3087`
115×	`+-commutative_binary64_3077`
113×	`associate-+l+_binary64_3080`
82×	`exp-prod_binary64_3199`
72×	`sqr-pow_binary64_3119` `*-commutative_binary64_3078`
71×	`distribute-lft-out_binary64_3098`
57×	`log-prod_binary64_3233`
41×	`cube-prod_binary64_3175`
38×	`distribute-rgt-neg-in_binary64_3105`
37×	`cancel-sign-sub-inv_binary64_3113`
30×	`swap-sqr_binary64_3114`
26×	`distribute-lft-neg-in_binary64_3104`
25×	`exp-sum_binary64_3193`
15×	`sub-neg_binary64_3140`
14×	`unpow3_binary64_3213`
13×	`cube-mult_binary64_3177`
12×	`pow-sqr_binary64_3120` `distribute-neg-in_binary64_3108` `distribute-lft-neg-out_binary64_3106`
11×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `*-lft-identity_binary64_3136`
10×	`log-pow_binary64_3236` `rem-sqrt-square_binary64_3160`
9×	`*-rgt-identity_binary64_3137` `distribute-rgt1-in_binary64_3103`
8×	`pow-plus_binary64_3210` `rem-cbrt-cube_binary64_3171`
6×	`distribute-rgt-out--_binary64_3101`
5×	`cube-unmult_binary64_3184` `distribute-rgt-neg-out_binary64_3107` `distribute-lft1-in_binary64_3102`
3×	`unpow1/2_binary64_3211` `unpow1_binary64_3205`
2×	`unpow2_binary64_3212`
1×	`prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `rem-cube-cbrt_binary64_3170` `rem-square-sqrt_binary64_3159` `unsub-neg_binary64_3141` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `associate-/l*_binary64_3092` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
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-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-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `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` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `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_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083`

Counts

137 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	3333
1	466	2943
2	1744	2769
3	4989	2769

prune104.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 2156 to 936 computations (56.6% saved)

regimes101.0ms (3.8%)

Accuracy

Total 0.0b remaining (91.4%)

Threshold costs 0.0b (91.4%)

Compiler

Compiled 516 to 387 computations (25% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3077`
1×	`*-commutative_binary64_3078`
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	6	10
1	9	10
2	9	10

Remove

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample673.0ms (25.2%)

Algorithm

1×

intervals

Results

203.0ms	7999×	body	128	valid
2.0ms	77×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 181 to 136 computations (24.9% saved)

Details

analyze264.0ms (9.9%)

sample21.0ms (0.8%)

simplify11.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite34.0ms (1.3%)

series182.0ms (6.8%)

simplify59.0ms (2.2%)

prune27.0ms (1%)

localize5.0ms (0.2%)

rewrite41.0ms (1.5%)

series170.0ms (6.4%)

simplify97.0ms (3.6%)

prune24.0ms (0.9%)

localize8.0ms (0.3%)

rewrite116.0ms (4.3%)

series617.0ms (23.1%)

simplify98.0ms (3.7%)

prune104.0ms (3.9%)

regimes101.0ms (3.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

end0.0ms (0%)

sample673.0ms (25.2%)

Profiling