Details

Time bar (total: 9.3s)

analyze533.0ms (5.7%)

Algorithm
search
egg-herbie
Rules
756×neg-mul-1_binary64
741×neg-sub0_binary64
638×associate-/l*_binary64
470×distribute-frac-neg_binary64
468×div-sub_binary64
448×unsub-neg_binary64
352×sub-neg_binary64
260×distribute-rgt-in_binary64
256×times-frac_binary64
236×distribute-lft-neg-out_binary64
234×distribute-rgt-neg-out_binary64
198×distribute-lft-in_binary64 associate-*l/_binary64
187×associate-*l*_binary64
177×cancel-sign-sub-inv_binary64
173×associate-*r/_binary64
172×distribute-neg-frac_binary64
170×associate-*r*_binary64
155×associate-/r/_binary64
149×associate-/r*_binary64
122×*-lft-identity_binary64
117×associate-/l/_binary64
103×*-rgt-identity_binary64
97×*-commutative_binary64
90×remove-double-neg_binary64
82×distribute-rgt-neg-in_binary64
78×cancel-sign-sub_binary64
77×/-rgt-identity_binary64
53×div0_binary64
44×distribute-rgt-out_binary64 associate--r+_binary64 +-commutative_binary64
42×distribute-lft-neg-in_binary64
40×distribute-rgt-out--_binary64
34×+-lft-identity_binary64
32×associate-+l-_binary64 associate-+r+_binary64
29×distribute-neg-in_binary64
28×sub0-neg_binary64 distribute-neg-out_binary64
24×associate-+r-_binary64
22×associate-+l+_binary64
19×+-rgt-identity_binary64
17×remove-double-div_binary64
16×difference-of-squares_binary64
15×mul0-rgt_binary64 mul0-lft_binary64
12×distribute-lft-out_binary64
10×associate--r-_binary64
associate--l+_binary64
swap-sqr_binary64
associate--l-_binary64
sqr-neg_binary64 --rgt-identity_binary64
mul-1-neg_binary64
1-exp_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054208
1161200
2483200
31371192
42735192
53995192
64316192
74707192
85013192
033
133
Search
TrueOtherFalseIter
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
0%99.9%0.1%5
12.5%68.6%18.9%6
18.7%62.4%18.9%7
18.7%59.3%22%8
28.1%39%32.9%9
32.8%34.3%32.9%10
32.8%32%35.3%11
38.2%20.7%41.1%12
41%17.9%41.1%13
41%16.6%42.5%14
Compiler

Compiled 38 to 24 computations (36.8% saved)

sample60.0ms (0.6%)

Algorithm
intervals
Results
42.0ms243×body256valid
4.0ms49×body128nan
1.0ms13×body128valid
Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify233.0ms (2.5%)

Algorithm
egg-herbie
Rules
637×associate-/l*_binary64
634×div-sub_binary64
582×unsub-neg_binary64
519×sub-neg_binary64
502×times-frac_binary64
356×distribute-rgt-out--_binary64
307×neg-mul-1_binary64
295×distribute-rgt-neg-in_binary64
286×associate-/l/_binary64
280×neg-sub0_binary64
252×associate-/r/_binary64
250×distribute-lft-neg-out_binary64
246×distribute-neg-out_binary64
212×associate-/r*_binary64 *-commutative_binary64
210×+-commutative_binary64
208×distribute-rgt-out_binary64
203×distribute-rgt-in_binary64
199×distribute-rgt-neg-out_binary64
186×distribute-neg-frac_binary64
160×associate-*r/_binary64
145×cancel-sign-sub-inv_binary64
137×associate-*l/_binary64
133×distribute-neg-in_binary64
123×distribute-lft-in_binary64
113×associate-+l+_binary64
106×distribute-lft-out--_binary64
100×distribute-frac-neg_binary64
98×associate-+l-_binary64
90×associate-*l*_binary64
81×associate-+r+_binary64
78×associate-*r*_binary64 associate--r-_binary64
63×associate--r+_binary64
59×distribute-lft-neg-in_binary64
46×*-lft-identity_binary64
44×associate-+r-_binary64
43×*-rgt-identity_binary64 distribute-lft-out_binary64
35×remove-double-neg_binary64 sub0-neg_binary64
34×associate--l+_binary64
27×mul0-rgt_binary64 swap-sqr_binary64
25×mul0-lft_binary64
24×distribute-rgt1-in_binary64
23×associate--l-_binary64
20×mul-1-neg_binary64
18×div0_binary64
14×cancel-sign-sub_binary64
+-lft-identity_binary64
+-rgt-identity_binary64
sqr-neg_binary64
/-rgt-identity_binary64 --rgt-identity_binary64 +-inverses_binary64
difference-of-squares_binary64 distribute-lft1-in_binary64
1-exp_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15350
213950
338148
473548
5118948
6140948
7189348
8185348
9223548
10288948
11345748
12363948
13374948
14379748
15382148
16387148
17485848
18479948
19498048
20483448

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
40.0b
Counts
2 → 2
Compiler

Compiled 99 to 59 computations (40.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
8.8b
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite197.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
35.1b
Rules
10×cbrt-div_binary64
add-sqr-sqrt_binary64 sqrt-prod_binary64
pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sqrt-div_binary64 flip--_binary64 frac-times_binary64 associate-*r/_binary64
pow1/2_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 rem-sqrt-square_binary64 pow1/3_binary64 flip3-+_binary64 flip-+_binary64 associate-*l/_binary64 cbrt-prod_binary64
Counts
4 → 60
Calls

4 calls:

13.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
13.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 2902 to 1013 computations (65.1% saved)

series281.0ms (3%)

Error
35.0b
Counts
4 → 30
Calls

4 calls:

94.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
88.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
21.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
19.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 3478 to 2608 computations (25% saved)

simplify128.0ms (1.4%)

Algorithm
egg-herbie
Rules
290×exp-sum_binary64
272×distribute-rgt-in_binary64
269×distribute-lft-in_binary64
257×*-commutative_binary64
166×log-div_binary64
155×exp-diff_binary64
142×times-frac_binary64
121×distribute-rgt-neg-out_binary64
115×associate-/l*_binary64
113×distribute-lft-neg-out_binary64
111×cancel-sign-sub-inv_binary64
107×sub-neg_binary64
101×associate-*l/_binary64
96×exp-prod_binary64
91×associate-+r-_binary64
89×associate-*r*_binary64
83×associate-*l*_binary64
78×div-sub_binary64
73×log-prod_binary64
71×unsub-neg_binary64
70×associate-+r+_binary64
67×associate-+l-_binary64 associate-+l+_binary64
66×associate-*r/_binary64
65×associate-/r*_binary64
64×sqr-pow_binary64
55×distribute-rgt-neg-in_binary64
53×neg-sub0_binary64
48×distribute-lft-neg-in_binary64
46×neg-mul-1_binary64
39×distribute-neg-out_binary64 distribute-rgt-out_binary64
36×unswap-sqr_binary64 associate--r-_binary64
35×associate--l+_binary64
33×+-commutative_binary64
32×unpow1/3_binary64
29×exp-to-pow_binary64 associate--l-_binary64
24×difference-of-squares_binary64 associate--r+_binary64
19×cube-prod_binary64
18×log-rec_binary64 distribute-neg-in_binary64
17×*-lft-identity_binary64
16×pow-sqr_binary64
15×distribute-frac-neg_binary64 distribute-lft-out_binary64
14×exp-neg_binary64
13×*-rgt-identity_binary64
12×distribute-rgt-out--_binary64
11×log-pow_binary64
unpow3_binary64
pow-plus_binary64
remove-double-neg_binary64 associate-/r/_binary64
cube-unmult_binary64
cube-mult_binary64 cube-neg_binary64 mul-1-neg_binary64 swap-sqr_binary64
sqr-neg_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-lft-sqr_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 cancel-sign-sub_binary64
prod-exp_binary64 1-exp_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-inverses_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64 associate-/l/_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
90 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02152045
15181979
214201888
342401858
449651858
549731858

prune149.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New461662
Fresh011
Picked101
Done000
Total471764
Error
34.4b
Counts
64 → 17
Compiler

Compiled 3091 to 1414 computations (54.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b
(-.f64 (*.f64 g g) (*.f64 h h))
8.1b
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite309.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
34.4b
Rules
add-sqr-sqrt_binary64 sqrt-prod_binary64
pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
flip3--_binary64 flip--_binary64 cbrt-div_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
difference-of-squares_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 frac-times_binary64 associate-*r/_binary64
pow1/3_binary64 associate-*l/_binary64 cbrt-prod_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
4 → 59
Calls

4 calls:

13.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
5.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 2610 to 888 computations (66% saved)

series245.0ms (2.6%)

Error
34.1b
Counts
4 → 30
Calls

4 calls:

89.0ms
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))
27.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
21.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
19.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 2815 to 2095 computations (25.6% saved)

simplify87.0ms (0.9%)

Algorithm
egg-herbie
Rules
452×associate-*l*_binary64
427×associate-*r*_binary64
252×exp-sum_binary64
239×distribute-rgt-in_binary64
237×distribute-lft-in_binary64
166×exp-prod_binary64
158×*-commutative_binary64
121×exp-diff_binary64
105×times-frac_binary64
95×distribute-rgt-neg-out_binary64
93×distribute-lft-neg-out_binary64
88×log-prod_binary64
77×sub-neg_binary64
75×associate-/l*_binary64
71×cancel-sign-sub-inv_binary64
65×associate-+r-_binary64
64×+-commutative_binary64
56×sqr-pow_binary64
54×div-sub_binary64 associate-*l/_binary64
50×associate-+r+_binary64
48×unsub-neg_binary64
46×distribute-rgt-neg-in_binary64
44×log-div_binary64 neg-sub0_binary64 unswap-sqr_binary64
42×distribute-lft-neg-in_binary64 associate-+l-_binary64
40×neg-mul-1_binary64
37×associate-/r*_binary64 associate-+l+_binary64
36×associate-*r/_binary64
33×distribute-neg-out_binary64 distribute-rgt-out_binary64
23×difference-of-squares_binary64
22×cube-prod_binary64
21×associate--r-_binary64
20×exp-neg_binary64
19×exp-to-pow_binary64
18×unpow1/3_binary64
16×associate--r+_binary64
15×distribute-neg-in_binary64 associate--l-_binary64
14×unpow3_binary64 pow-sqr_binary64 associate--l+_binary64
13×distribute-frac-neg_binary64
12×pow-plus_binary64
10×*-lft-identity_binary64 swap-sqr_binary64 distribute-lft-out_binary64
*-rgt-identity_binary64
associate-/r/_binary64
log-pow_binary64 log-rec_binary64 cube-unmult_binary64 cube-neg_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64
cube-mult_binary64 sqr-neg_binary64
mul-1-neg_binary64 +-rgt-identity_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 associate-/l/_binary64
div-exp_binary64 prod-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 +-inverses_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 count-2_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
89 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671625
13741520
210661479
341941465
449331465

prune222.0ms (2.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New48957
Fresh7916
Picked101
Done000
Total561874
Error
34.0b
Counts
74 → 18
Compiler

Compiled 2597 to 1197 computations (53.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b
(-.f64 (*.f64 g g) (*.f64 h h))
4.4b
(-.f64 (*.f64 g g) (*.f64 h h))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite293.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
34.0b
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sqrt-div_binary64 flip--_binary64 difference-of-squares_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
4.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
Compiler

Compiled 2378 to 757 computations (68.2% saved)

series167.0ms (1.8%)

Error
34.0b
Counts
4 → 30
Calls

4 calls:

28.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
26.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
22.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
20.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 2288 to 1676 computations (26.7% saved)

simplify94.0ms (1%)

Algorithm
egg-herbie
Rules
760×unswap-sqr_binary64
315×*-commutative_binary64
205×distribute-lft-neg-out_binary64
203×unsub-neg_binary64
180×exp-prod_binary64 distribute-rgt-neg-out_binary64
168×cancel-sign-sub-inv_binary64
152×associate-*l*_binary64
133×associate-*r*_binary64
128×exp-sum_binary64
123×neg-sub0_binary64
115×neg-mul-1_binary64
113×sqr-pow_binary64
108×difference-of-squares_binary64
84×distribute-rgt-in_binary64
83×distribute-lft-in_binary64
81×distribute-neg-in_binary64
70×distribute-neg-out_binary64 associate-+r+_binary64
68×sub-neg_binary64
55×associate-+l+_binary64
51×+-commutative_binary64
46×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
39×times-frac_binary64
38×exp-diff_binary64
37×pow-plus_binary64
33×distribute-rgt-out_binary64
32×swap-sqr_binary64
31×pow-sqr_binary64
30×unpow3_binary64
23×cube-prod_binary64
20×distribute-lft-out_binary64
18×log-prod_binary64
17×cube-unmult_binary64
13×+-rgt-identity_binary64
12×exp-neg_binary64
10×sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-/l*_binary64 associate-+r-_binary64
div-sub_binary64
mul-1-neg_binary64 associate-/r*_binary64 associate-+l-_binary64
cube-mult_binary64 associate-*r/_binary64
sqr-neg_binary64 +-lft-identity_binary64 associate--r+_binary64
rem-sqrt-square_binary64 associate-/l/_binary64
unpow2_binary64 unpow1_binary64 associate-/r/_binary64
unpow1/2_binary64 cube-neg_binary64 --rgt-identity_binary64 cancel-sign-sub_binary64
div-exp_binary64 1-exp_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-*l/_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
88 → 52
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0631210
11331054
23241054
311071054
420501054
547261054
649261054

prune180.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New50252
Fresh11617
Picked101
Done000
Total521870
Error
34.0b
Counts
70 → 18
Compiler

Compiled 2097 to 1005 computations (52.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b
(-.f64 (*.f64 g g) (*.f64 h h))
4.4b
(-.f64 (*.f64 g g) (*.f64 h h))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite241.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
34.0b
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sqrt-div_binary64 flip--_binary64 difference-of-squares_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
4.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
4.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
Compiler

Compiled 2378 to 757 computations (68.2% saved)

series162.0ms (1.7%)

Error
34.0b
Counts
4 → 30
Calls

4 calls:

27.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
25.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
21.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
19.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 2288 to 1676 computations (26.7% saved)

simplify97.0ms (1%)

Algorithm
egg-herbie
Rules
760×unswap-sqr_binary64
315×*-commutative_binary64
205×distribute-lft-neg-out_binary64
203×unsub-neg_binary64
180×exp-prod_binary64 distribute-rgt-neg-out_binary64
168×cancel-sign-sub-inv_binary64
152×associate-*l*_binary64
133×associate-*r*_binary64
128×exp-sum_binary64
123×neg-sub0_binary64
115×neg-mul-1_binary64
113×sqr-pow_binary64
108×difference-of-squares_binary64
84×distribute-rgt-in_binary64
83×distribute-lft-in_binary64
81×distribute-neg-in_binary64
70×distribute-neg-out_binary64 associate-+r+_binary64
68×sub-neg_binary64
55×associate-+l+_binary64
51×+-commutative_binary64
46×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
39×times-frac_binary64
38×exp-diff_binary64
37×pow-plus_binary64
33×distribute-rgt-out_binary64
32×swap-sqr_binary64
31×pow-sqr_binary64
30×unpow3_binary64
23×cube-prod_binary64
20×distribute-lft-out_binary64
18×log-prod_binary64
17×cube-unmult_binary64
13×+-rgt-identity_binary64
12×exp-neg_binary64
10×sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-/l*_binary64 associate-+r-_binary64
div-sub_binary64
mul-1-neg_binary64 associate-/r*_binary64 associate-+l-_binary64
cube-mult_binary64 associate-*r/_binary64
sqr-neg_binary64 +-lft-identity_binary64 associate--r+_binary64
rem-sqrt-square_binary64 associate-/l/_binary64
unpow2_binary64 unpow1_binary64 associate-/r/_binary64
unpow1/2_binary64 cube-neg_binary64 --rgt-identity_binary64 cancel-sign-sub_binary64
div-exp_binary64 1-exp_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-*l/_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
88 → 52
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0631210
11331054
23241054
311071054
420501054
547261054
649261054

prune156.0ms (1.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh01717
Picked011
Done000
Total521870
Error
34.0b
Counts
70 → 18
Compiler

Compiled 1366 to 557 computations (59.2% saved)

regimes3.0s (32.5%)

Accuracy

Total 2.9b remaining (9.2%)

Threshold costs 0b (0%)

Compiler

Compiled 64823 to 41000 computations (36.8% saved)

bsearch15.0ms (0.2%)

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative_binary64
12×*-commutative_binary64
10×sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
unsub-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64
1-exp_binary64 cancel-sign-sub-inv_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-in_binary64
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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036112
155110
269110
384110
493108
5100108
6103108
7104108
8102108

end2.0ms (0%)

Compiler

Compiled 69 to 41 computations (40.6% saved)

sample2.4s (25.2%)

Algorithm
intervals
Results
1.3s7549×body256valid
99.0ms1231×body128nan
40.0ms451×body128valid
Compiler

Compiled 841 to 528 computations (37.2% saved)

Profiling

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