Details

Time bar (total: 2.3s)

analyze86.0ms (3.8%)

Algorithm
search
egg-herbie
Rules
368×div-sub_binary64
196×associate-/l*_binary64
178×associate-/l/_binary64
148×times-frac_binary64
138×sub-neg_binary64
125×associate-/r/_binary64
120×cancel-sign-sub-inv_binary64
104×associate-/r*_binary64
100×distribute-rgt-in_binary64
92×distribute-lft-in_binary64
70×unsub-neg_binary64
68×distribute-neg-frac_binary64
60×distribute-rgt-neg-in_binary64
52×associate-*l*_binary64
50×associate-*l/_binary64
42×distribute-lft-neg-in_binary64
32×neg-mul-1_binary64
30×neg-sub0_binary64 distribute-lft-neg-out_binary64
28×associate-*r*_binary64 associate--r+_binary64
22×mul0-rgt_binary64
20×div0_binary64 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 associate-+l-_binary64 +-commutative_binary64
18×*-lft-identity_binary64 associate--l-_binary64 *-commutative_binary64
14×distribute-neg-in_binary64
12×*-rgt-identity_binary64 sub0-neg_binary64
10×mul0-lft_binary64 distribute-rgt-out--_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l+_binary64
/-rgt-identity_binary64 remove-double-div_binary64 distribute-rgt-out_binary64 associate-+l+_binary64 associate-+r+_binary64
mul-1-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
+-rgt-identity_binary64 +-lft-identity_binary64
distribute-neg-out_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 sqr-neg_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 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22720
34420
46220
510320
618420
731520
853420
979820
1084020
1192820
1290220
1389020
1489420
1589820
1690220
1780220
022
122
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample28.0ms (1.2%)

Algorithm
intervals
Results
13.0ms256×pre128true
5.0ms256×body128valid
Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify49.0ms (2.2%)

Algorithm
egg-herbie
Rules
243×div-sub_binary64
166×associate-/l/_binary64
143×times-frac_binary64
130×associate-/l*_binary64
86×sub-neg_binary64
81×associate-/r/_binary64
70×associate-/r*_binary64
62×distribute-lft-in_binary64
61×distribute-rgt-in_binary64
53×cancel-sign-sub-inv_binary64
42×distribute-neg-frac_binary64
39×associate-*l/_binary64
35×unsub-neg_binary64
31×associate-*l*_binary64
27×distribute-rgt-neg-in_binary64
20×neg-sub0_binary64
19×distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
18×neg-mul-1_binary64
17×associate-*r*_binary64 associate--r+_binary64
15×mul0-rgt_binary64
14×+-commutative_binary64
13×div0_binary64 distribute-frac-neg_binary64 associate--l-_binary64
12×distribute-rgt-neg-out_binary64
11×associate-+l-_binary64
10×*-lft-identity_binary64 *-commutative_binary64
*-rgt-identity_binary64 distribute-neg-in_binary64 associate--r-_binary64
/-rgt-identity_binary64 sub0-neg_binary64
mul-1-neg_binary64
mul0-lft_binary64
distribute-rgt-out--_binary64 associate-*r/_binary64 associate--l+_binary64
remove-double-neg_binary64 --rgt-identity_binary64 remove-double-div_binary64 distribute-rgt-out_binary64 associate-+l+_binary64 associate-+r+_binary64
distribute-rgt1-in_binary64 associate-+r-_binary64
+-rgt-identity_binary64 +-lft-identity_binary64
1-exp_binary64 distribute-neg-out_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 sqr-neg_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 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22010
33110
44210
56610
611010
718410
830810
946210
1053310
1159910
1256810
1356410
1456810
1557210
1657410
1749810

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.2b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 x0 (-.f64 1 x1))
7.3b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite56.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
7.1b
Rules
31×add-sqr-sqrt_binary64
28×*-un-lft-identity_binary64
19×times-frac_binary64
14×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/r*_binary64
distribute-lft-out--_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cancel-sign-sub-inv_binary64 associate-/l*_binary64
pow1_binary64 flip3--_binary64 flip--_binary64 associate-/r/_binary64
diff-log_binary64 sub-neg_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64
Counts
2 → 58
Calls

2 calls:

13.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 806 to 492 computations (39% saved)

series42.0ms (1.8%)

Error
4.2b
Counts
2 → 18
Calls

2 calls:

18.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
15.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 373 to 279 computations (25.2% saved)

simplify90.0ms (4%)

Algorithm
egg-herbie
Rules
424×distribute-rgt-in_binary64
359×distribute-rgt-out_binary64
270×distribute-lft-out_binary64
196×associate-*l*_binary64
189×associate-*r*_binary64
182×exp-prod_binary64
168×associate-/l*_binary64
148×log-prod_binary64
121×cancel-sign-sub-inv_binary64
116×unswap-sqr_binary64
104×times-frac_binary64
101×distribute-lft-neg-out_binary64
97×div-sub_binary64 distribute-rgt-neg-out_binary64
78×*-commutative_binary64
77×associate-*l/_binary64
74×sub-neg_binary64
70×associate-/l/_binary64
65×associate-/r*_binary64 +-commutative_binary64
59×distribute-lft-in_binary64
57×associate-*r/_binary64
52×associate-+l+_binary64
51×distribute-rgt-neg-in_binary64
50×unsub-neg_binary64
49×distribute-lft-neg-in_binary64
46×log-div_binary64
44×distribute-neg-frac_binary64
40×unpow3_binary64
39×cube-prod_binary64 sqr-pow_binary64
38×neg-sub0_binary64
35×swap-sqr_binary64
34×associate-/r/_binary64
32×distribute-rgt-out--_binary64
30×neg-mul-1_binary64
29×associate-+r+_binary64
26×cube-div_binary64
22×*-rgt-identity_binary64 distribute-frac-neg_binary64
20×distribute-rgt1-in_binary64
16×exp-sum_binary64 *-lft-identity_binary64
13×difference-of-squares_binary64
12×distribute-neg-in_binary64 associate-+l-_binary64
10×sub0-neg_binary64
pow-plus_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out--_binary64
associate-+r-_binary64
exp-diff_binary64 cube-unmult_binary64 distribute-lft1-in_binary64
log-rec_binary64 mul-1-neg_binary64 +-rgt-identity_binary64
cube-mult_binary64 /-rgt-identity_binary64
remove-double-neg_binary64 div0_binary64 pow-sqr_binary64 difference-of-sqr-1_binary64 associate--r+_binary64
log-pow_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 distribute-neg-out_binary64 associate--l-_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 difference-of-sqr--1_binary64 associate--r-_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 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 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 count-2_binary64 associate--l+_binary64
Counts
76 → 41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01251055
12701020
2635999
32180990
44746990
55045990

prune17.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242
Error
4.2b
Counts
42 → 2
Compiler

Compiled 374 to 211 computations (43.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.0b
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite71.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
3.6b
Rules
37×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
14×associate-*l*_binary64
12×times-frac_binary64 difference-of-squares_binary64
difference-of-sqr-1_binary64
add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64
cancel-sign-sub-inv_binary64 associate-*r*_binary64
flip3--_binary64 flip--_binary64 div-inv_binary64 associate-*l/_binary64
diff-log_binary64 sub-neg_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 56
Calls

2 calls:

17.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
12.0ms
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)
Compiler

Compiled 930 to 790 computations (15.1% saved)

series31.0ms (1.4%)

Error
4.1b
Counts
2 → 15
Calls

2 calls:

18.0ms
(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.0ms
(-.f64 (/.f64 1 (-.f64 1 x1)) 1)
Compiler

Compiled 338 to 284 computations (16% saved)

simplify116.0ms (5.1%)

Algorithm
egg-herbie
Rules
619×distribute-rgt-in_binary64
577×distribute-lft-in_binary64
512×div-sub_binary64
319×times-frac_binary64
261×associate-+l+_binary64
231×associate-*l/_binary64
189×distribute-rgt-out_binary64
175×associate-/l*_binary64
171×associate-*l*_binary64
155×distribute-lft-out_binary64 *-commutative_binary64
133×associate-*r*_binary64
126×+-commutative_binary64
113×associate-/r*_binary64
110×unswap-sqr_binary64
103×associate-*r/_binary64
98×distribute-rgt-neg-out_binary64
95×unsub-neg_binary64 distribute-lft-neg-out_binary64
93×distribute-neg-in_binary64
72×sqr-pow_binary64
60×exp-prod_binary64
52×associate-+r+_binary64
49×sub-neg_binary64
46×associate-+l-_binary64
44×associate--r+_binary64
41×distribute-rgt1-in_binary64 associate-/l/_binary64
36×associate-+r-_binary64
33×log-prod_binary64
32×neg-sub0_binary64
30×mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64
29×unpow3_binary64 cancel-sign-sub-inv_binary64
28×cube-prod_binary64
21×distribute-frac-neg_binary64
20×distribute-rgt-neg-in_binary64
19×exp-sum_binary64 distribute-lft1-in_binary64
18×distribute-lft-neg-in_binary64 associate-/r/_binary64
15×pow-plus_binary64 cube-unmult_binary64
14×neg-mul-1_binary64 pow-sqr_binary64
13×cube-div_binary64
12×exp-diff_binary64 rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64
11×sqr-neg_binary64
10×swap-sqr_binary64
distribute-neg-out_binary64 associate--l+_binary64
cube-neg_binary64 sub0-neg_binary64 distribute-neg-frac_binary64 distribute-rgt-out--_binary64
unpow1/2_binary64 difference-of-sqr-1_binary64
+-rgt-identity_binary64
cube-mult_binary64 /-rgt-identity_binary64 associate--r-_binary64 associate--l-_binary64
remove-double-neg_binary64
log-div_binary64 div0_binary64 remove-double-div_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 --rgt-identity_binary64 difference-of-sqr--1_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 log-pow_binary64 log-rec_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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft-out--_binary64
Counts
71 → 63
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0901123
11961042
2488952
31085945
42274944
53902944
64942944
74898944

prune31.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New62163
Fresh011
Picked101
Done000
Total63265
Error
3.2b
Counts
65 → 2
Compiler

Compiled 690 to 538 computations (22% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
5.7b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite105.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
2.9b
Rules
47×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
18×cancel-sign-sub-inv_binary64
15×*-un-lft-identity_binary64
12×difference-of-squares_binary64
11×add-cube-cbrt_binary64
10×associate-*r*_binary64
times-frac_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64 sub-neg_binary64
flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64 unswap-sqr_binary64 associate-*r/_binary64
diff-log_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
2 → 69
Calls

2 calls:

31.0ms
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
22.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 1826 to 857 computations (53.1% saved)

series139.0ms (6.1%)

Error
3.2b
Counts
2 → 18
Calls

2 calls:

71.0ms
(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
52.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 1035 to 829 computations (19.9% saved)

simplify125.0ms (5.5%)

Algorithm
egg-herbie
Rules
654×unswap-sqr_binary64
372×*-commutative_binary64
287×unsub-neg_binary64
204×distribute-lft-in_binary64
203×distribute-rgt-in_binary64
193×associate-*l*_binary64
167×associate-*r*_binary64
138×distribute-rgt-out_binary64
114×distribute-lft-out_binary64
112×exp-prod_binary64
108×neg-sub0_binary64
105×sqr-pow_binary64
103×neg-mul-1_binary64
98×sub-neg_binary64
95×div-sub_binary64
93×associate-/l*_binary64
74×associate-*l/_binary64 +-commutative_binary64
71×log-prod_binary64
69×times-frac_binary64
64×distribute-rgt-neg-out_binary64
62×associate-+l+_binary64
61×*-lft-identity_binary64
55×associate-/r*_binary64
52×*-rgt-identity_binary64
51×difference-of-squares_binary64 distribute-lft-neg-out_binary64
49×associate-*r/_binary64
48×cube-prod_binary64
40×distribute-rgt-neg-in_binary64
35×distribute-lft-neg-in_binary64
34×cancel-sign-sub-inv_binary64 associate-+r+_binary64
27×exp-sum_binary64
23×log-pow_binary64
22×swap-sqr_binary64
19×cube-div_binary64
17×pow-sqr_binary64
16×distribute-rgt1-in_binary64
15×exp-diff_binary64 mul0-rgt_binary64 mul0-lft_binary64
14×unpow3_binary64
12×sub0-neg_binary64 associate-+l-_binary64 associate-+r-_binary64
10×cube-unmult_binary64 cube-mult_binary64
pow-plus_binary64 +-rgt-identity_binary64 associate-/r/_binary64
exp-neg_binary64
rem-sqrt-square_binary64 distribute-rgt-out--_binary64
/-rgt-identity_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate-/l/_binary64
mul-1-neg_binary64
unpow1/3_binary64 unpow1/2_binary64
unpow2_binary64 unpow1_binary64 difference-of-sqr--1_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-div_binary64 difference-of-sqr-1_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 log-rec_binary64 log-div_binary64 pow-base-0_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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
87 → 70
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01542074
13741825
213251763
331871731
449951731
549141731

prune41.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh101
Picked101
Done000
Total70272
Error
2.8b
Counts
72 → 2
Compiler

Compiled 1261 to 711 computations (43.6% saved)

localize12.0ms (0.5%)

Local error

Found 1 expressions with local error:

5.7b
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite45.0ms (2%)

Algorithm
rewrite-expression-head
Error
2.8b
Rules
19×add-sqr-sqrt_binary64
cbrt-prod_binary64
difference-of-squares_binary64 cancel-sign-sub-inv_binary64
*-un-lft-identity_binary64
times-frac_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
diff-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 distribute-lft-out--_binary64
Counts
1 → 24
Calls

1 calls:

23.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 758 to 344 computations (54.6% saved)

series59.0ms (2.6%)

Error
2.8b
Counts
1 → 9
Calls

1 calls:

52.0ms
(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
Compiler

Compiled 608 to 431 computations (29.1% saved)

simplify103.0ms (4.6%)

Algorithm
egg-herbie
Rules
428×distribute-rgt-out_binary64
392×associate-*l*_binary64
390×unswap-sqr_binary64
311×associate-*r*_binary64
252×log-prod_binary64
187×cancel-sign-sub-inv_binary64
134×exp-prod_binary64
101×*-commutative_binary64
94×cube-prod_binary64
81×div-sub_binary64
80×sub-neg_binary64
79×distribute-lft-neg-out_binary64
71×distribute-rgt-neg-out_binary64
70×distribute-rgt-neg-in_binary64
68×sqr-pow_binary64
67×associate-/l*_binary64
66×distribute-lft-neg-in_binary64
59×+-commutative_binary64
56×distribute-lft-out_binary64
51×times-frac_binary64
49×associate-/r*_binary64
47×swap-sqr_binary64 distribute-rgt-out--_binary64
44×distribute-lft-in_binary64
43×distribute-rgt-in_binary64
41×unpow3_binary64
39×associate-+l+_binary64
36×unsub-neg_binary64
35×neg-sub0_binary64
34×exp-sum_binary64
31×neg-mul-1_binary64
30×difference-of-squares_binary64 distribute-rgt1-in_binary64
29×log-pow_binary64 cube-mult_binary64
27×rem-sqrt-square_binary64
26×cube-div_binary64 associate-*l/_binary64
22×*-lft-identity_binary64 associate-*r/_binary64
20×*-rgt-identity_binary64
19×cube-unmult_binary64
17×associate-+r+_binary64
15×pow-plus_binary64
13×distribute-lft1-in_binary64
12×sub0-neg_binary64 associate-+l-_binary64
11×exp-diff_binary64 associate-+r-_binary64
10×mul0-rgt_binary64 mul0-lft_binary64
associate-/r/_binary64
sqr-neg_binary64
/-rgt-identity_binary64 +-rgt-identity_binary64 pow-sqr_binary64
mul-1-neg_binary64
associate-/l/_binary64
distribute-lft-out--_binary64
unpow1/3_binary64 unpow1/2_binary64 cube-neg_binary64 distribute-neg-in_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64 remove-double-div_binary64 difference-of-sqr-1_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-rec_binary64 log-div_binary64 pow-base-0_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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
33 → 24
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097716
1228653
2555641
32320638
44595638
54969638
65120638

prune16.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh011
Picked011
Done000
Total24226
Error
2.8b
Counts
26 → 2
Compiler

Compiled 563 to 266 computations (52.8% saved)

regimes166.0ms (7.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 2895 to 2248 computations (22.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
13×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64 *-lft-identity_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 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 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03695
15695
26395
36795
46995
56895

end2.0ms (0.1%)

Compiler

Compiled 61 to 40 computations (34.4% saved)

sample806.0ms (35.5%)

Algorithm
intervals
Results
237.0ms8000×pre128true
171.0ms8000×body128valid
Compiler

Compiled 139 to 104 computations (25.2% saved)

Profiling

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