Details

Time bar (total: 2.2s)

analyze32.0ms (1.5%)

Algorithm
search
egg-herbie
Rules
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
25×sub-neg_binary64
17×div-sub_binary64
16×distribute-lft-neg-out_binary64
15×unsub-neg_binary64 distribute-rgt-neg-in_binary64
14×associate-/l*_binary64
13×neg-mul-1_binary64 distribute-rgt-neg-out_binary64 associate-/r*_binary64
12×associate--r+_binary64
10×distribute-neg-frac_binary64
neg-sub0_binary64
distribute-neg-in_binary64 distribute-lft-neg-in_binary64
associate-*l*_binary64 *-commutative_binary64
*-lft-identity_binary64 associate-*l/_binary64 associate-*r*_binary64 associate--r-_binary64 +-commutative_binary64
sub0-neg_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*r/_binary64 associate-+l-_binary64
*-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate--l+_binary64 associate-+l+_binary64
/-rgt-identity_binary64 remove-double-neg_binary64 div0_binary64 distribute-rgt1-in_binary64 associate--l-_binary64
1-exp_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate-+r-_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 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 times-frac_binary64 mul-1-neg_binary64 *-inverses_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 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1149
2179
3219
4289
5359
6529
7789
8979
91319
101839
111929
122079
132059
141689
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample31.0ms (1.4%)

Algorithm
intervals
Results
15.0ms94×body1024valid
4.0ms49×body512valid
2.0ms89×body128valid
1.0msbody2048valid
1.0ms17×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify19.0ms (0.9%)

Algorithm
egg-herbie
Rules
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
25×sub-neg_binary64
17×div-sub_binary64
16×distribute-lft-neg-out_binary64
15×unsub-neg_binary64 distribute-rgt-neg-in_binary64
14×associate-/l*_binary64
13×neg-mul-1_binary64 distribute-rgt-neg-out_binary64 associate-/r*_binary64
12×associate--r+_binary64
10×distribute-neg-frac_binary64
neg-sub0_binary64
distribute-neg-in_binary64 distribute-lft-neg-in_binary64
associate-*l*_binary64 *-commutative_binary64
*-lft-identity_binary64 associate-*l/_binary64 associate-*r*_binary64 associate--r-_binary64 +-commutative_binary64
sub0-neg_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*r/_binary64 associate-+l-_binary64
*-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate--l+_binary64 associate-+l+_binary64
/-rgt-identity_binary64 remove-double-neg_binary64 div0_binary64 distribute-rgt1-in_binary64 associate--l-_binary64
1-exp_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate-+r-_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 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 times-frac_binary64 mul-1-neg_binary64 *-inverses_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 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1149
2179
3219
4289
5359
6529
7789
8979
91319
101839
111929
122079
132059
141689

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
42.4b
Counts
1 → 1
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
3.3b
(-.f64 (exp.f64 x) 1)

rewrite82.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
41.7b
Rules
35×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
21×times-frac_binary64
15×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/l*_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cancel-sign-sub-inv_binary64 associate-/r*_binary64
pow1_binary64 flip3--_binary64 flip--_binary64 associate-/l/_binary64
diff-log_binary64 sub-neg_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64
Counts
2 → 64
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 754 to 428 computations (43.2% saved)

series29.0ms (1.3%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

9.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
7.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify94.0ms (4.3%)

Algorithm
egg-herbie
Rules
486×associate-/l*_binary64
359×associate-*l/_binary64
294×associate-/l/_binary64 associate-/r*_binary64
268×distribute-rgt-in_binary64
267×associate-/r/_binary64
239×distribute-lft-in_binary64
185×div-sub_binary64
137×neg-mul-1_binary64
120×cube-div_binary64
116×exp-prod_binary64
111×log-div_binary64
86×times-frac_binary64
82×associate-*l*_binary64
81×distribute-rgt-out_binary64
78×associate-*r*_binary64
77×cube-prod_binary64
64×log-prod_binary64
58×*-commutative_binary64
57×distribute-lft-out_binary64
56×distribute-lft-neg-out_binary64
54×distribute-rgt-neg-out_binary64
50×associate-+l+_binary64 +-commutative_binary64
45×sub-neg_binary64
39×associate-+r+_binary64
38×exp-sum_binary64 distribute-frac-neg_binary64
32×associate-*r/_binary64
28×sqr-pow_binary64 distribute-neg-frac_binary64
26×exp-diff_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
23×unswap-sqr_binary64
21×neg-sub0_binary64
19×distribute-lft-neg-in_binary64
18×unpow3_binary64 distribute-neg-in_binary64
15×unsub-neg_binary64
14×cube-neg_binary64 sqr-neg_binary64
13×prod-exp_binary64 cube-unmult_binary64 /-rgt-identity_binary64 *-lft-identity_binary64
12×mul-1-neg_binary64 *-rgt-identity_binary64 distribute-rgt1-in_binary64
11×log-rec_binary64
10×cube-mult_binary64
div-exp_binary64 exp-neg_binary64
swap-sqr_binary64
pow-plus_binary64 rec-exp_binary64
rem-sqrt-square_binary64
distribute-lft1-in_binary64 associate-+r-_binary64
cancel-sign-sub_binary64
log-pow_binary64 unpow1/2_binary64 pow-sqr_binary64 difference-of-sqr-1_binary64 count-2_binary64
remove-double-neg_binary64 +-rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64
unpow2_binary64 unpow1_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 sub0-neg_binary64 div0_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 associate--r-_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 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_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 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--l+_binary64
Counts
76 → 40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161147
12491094
25561082
313241076
443241076
549611076

prune23.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh000
Picked011
Done000
Total38341
Error
0.0b
Counts
41 → 3
Compiler

Compiled 329 to 197 computations (40.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1/2 (*.f64 x 1/6))
0.1b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.3b
(*.f64 x 1/6)

rewrite51.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 sum-log_binary64 +-commutative_binary64
Counts
3 → 51
Calls

3 calls:

5.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(*.f64 x 1/6)
3.0ms
(+.f64 1/2 (*.f64 x 1/6))
Compiler

Compiled 742 to 583 computations (21.4% saved)

series34.0ms (1.5%)

Error
0.0b
Counts
3 → 15
Calls

3 calls:

12.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
9.0ms
(+.f64 1/2 (*.f64 x 1/6))
6.0ms
(*.f64 x 1/6)
Compiler

Compiled 265 to 235 computations (11.3% saved)

simplify102.0ms (4.7%)

Algorithm
egg-herbie
Rules
388×unswap-sqr_binary64
361×associate-*l/_binary64
303×associate-*r/_binary64 *-commutative_binary64
268×+-commutative_binary64
220×distribute-rgt-in_binary64
212×distribute-lft-in_binary64
185×associate-+l+_binary64
173×associate-+r+_binary64
145×distribute-rgt-out_binary64
133×sqr-pow_binary64
114×distribute-rgt-neg-in_binary64
93×associate-*l*_binary64
92×cancel-sign-sub-inv_binary64
89×distribute-lft-neg-in_binary64
85×log-div_binary64
82×rem-sqrt-square_binary64
79×associate-/l*_binary64
73×log-prod_binary64 associate-*r*_binary64
67×associate-/l/_binary64
63×sub-neg_binary64
48×pow-sqr_binary64
42×associate-/r/_binary64
38×exp-prod_binary64
35×associate-/r*_binary64
33×swap-sqr_binary64
31×neg-mul-1_binary64
27×*-rgt-identity_binary64 *-lft-identity_binary64
26×neg-sub0_binary64 distribute-lft-out_binary64
21×cube-prod_binary64
18×distribute-neg-in_binary64
15×distribute-rgt-out--_binary64 associate-+l-_binary64
14×associate--r+_binary64
11×sub0-neg_binary64
10×distribute-lft-neg-out_binary64
count-2_binary64
unpow1/2_binary64 distribute-rgt-neg-out_binary64
distribute-neg-frac_binary64 associate-+r-_binary64
distribute-rgt1-in_binary64 associate--l+_binary64
log-pow_binary64 unpow3_binary64 pow-plus_binary64 exp-sum_binary64
cube-unmult_binary64 --rgt-identity_binary64 +-rgt-identity_binary64
log-rec_binary64 cube-div_binary64 unsub-neg_binary64
prod-exp_binary64 remove-double-neg_binary64 associate--l-_binary64
unpow2_binary64 unpow1_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 times-frac_binary64 /-rgt-identity_binary64 distribute-lft1-in_binary64 distribute-lft-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 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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate--r-_binary64
Counts
66 → 45
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083672
1199615
2593612
31285612
41851612
52460612
64832612
74841612

prune27.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh011
Picked011
Done011
Total45348
Error
0.0b
Counts
48 → 3
Compiler

Compiled 534 to 413 computations (22.7% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
3.4b
(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite35.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
*-un-lft-identity_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
4 → 45
Calls

4 calls:

4.0ms
(+.f64 -1 (sqrt.f64 (exp.f64 x)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1099 to 428 computations (61.1% saved)

series72.0ms (3.3%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

19.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
11.0ms
(+.f64 -1 (sqrt.f64 (exp.f64 x)))
Compiler

Compiled 865 to 551 computations (36.3% saved)

simplify111.0ms (5.1%)

Algorithm
egg-herbie
Rules
618×unsub-neg_binary64
493×unswap-sqr_binary64
377×*-commutative_binary64
344×distribute-rgt-out_binary64
260×sub-neg_binary64
216×associate-*l*_binary64
201×distribute-lft-out_binary64
200×neg-sub0_binary64
191×cancel-sign-sub-inv_binary64
182×associate-*r*_binary64
168×pow-sqr_binary64
147×neg-mul-1_binary64
146×cube-prod_binary64
134×sqr-pow_binary64
120×associate--r-_binary64
119×distribute-rgt-in_binary64
103×exp-prod_binary64
99×log-prod_binary64
94×distribute-rgt-neg-in_binary64
93×distribute-lft-in_binary64
90×distribute-lft-neg-in_binary64
72×distribute-neg-out_binary64
71×associate-+l+_binary64
69×distribute-lft-neg-out_binary64
67×unpow3_binary64
62×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
60×remove-double-neg_binary64
59×associate-/l*_binary64 associate-+r+_binary64
55×times-frac_binary64
53×pow-plus_binary64 cube-mult_binary64
45×distribute-rgt-out--_binary64
38×+-commutative_binary64
37×log-pow_binary64
32×rem-sqrt-square_binary64
28×associate-+l-_binary64
26×associate-+r-_binary64
25×associate-/r*_binary64
24×swap-sqr_binary64
22×*-rgt-identity_binary64 distribute-rgt1-in_binary64
20×cube-unmult_binary64 associate--r+_binary64
18×*-lft-identity_binary64
17×count-2_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
15×--rgt-identity_binary64
14×div-sub_binary64 associate-*r/_binary64
13×mul-1-neg_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
12×exp-diff_binary64 mul0-rgt_binary64 mul0-lft_binary64
11×sub0-neg_binary64
difference-of-sqr-1_binary64 associate-/r/_binary64
exp-sum_binary64
/-rgt-identity_binary64 associate--l-_binary64
+-rgt-identity_binary64
unpow2_binary64 difference-of-sqr--1_binary64 associate--l+_binary64
unpow1/2_binary64 cube-neg_binary64
unpow1/3_binary64 unpow1_binary64 rec-exp_binary64 prod-exp_binary64 sqr-neg_binary64 distribute-frac-neg_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_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-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 div-exp_binary64 exp-neg_binary64 e-exp-1_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 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64
Counts
60 → 27
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066499
1142468
2325459
31147453
42877453
54189453
64731453
74875453

prune13.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New26127
Fresh000
Picked101
Done022
Total27330
Error
0.0b
Counts
30 → 3
Compiler

Compiled 489 to 229 computations (53.2% saved)

localize21.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
3.3b
(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 x)) 3))

rewrite49.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
*-un-lft-identity_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
4 → 45
Calls

4 calls:

7.0ms
(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1603 to 670 computations (58.2% saved)

series79.0ms (3.6%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

20.0ms
(cbrt.f64 x)
18.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
15.0ms
(+.f64 -1 (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
Compiler

Compiled 1256 to 752 computations (40.1% saved)

simplify86.0ms (3.9%)

Algorithm
egg-herbie
Rules
674×unswap-sqr_binary64
407×associate-*l*_binary64
315×associate-*r*_binary64
301×distribute-rgt-out_binary64
289×distribute-lft-out_binary64
142×cancel-sign-sub-inv_binary64
141×distribute-rgt-neg-in_binary64
100×distribute-lft-neg-out_binary64
99×log-prod_binary64
98×exp-prod_binary64
92×distribute-rgt-neg-out_binary64
91×distribute-lft-neg-in_binary64
86×*-commutative_binary64
80×cube-prod_binary64 sqr-pow_binary64
54×unsub-neg_binary64
46×distribute-rgt-in_binary64
44×swap-sqr_binary64
43×sub-neg_binary64
40×neg-sub0_binary64
35×associate-+l+_binary64
32×distribute-neg-out_binary64
31×distribute-lft-in_binary64
28×distribute-rgt-out--_binary64
27×pow-sqr_binary64
24×+-commutative_binary64
23×associate-+r+_binary64
22×pow-plus_binary64 neg-mul-1_binary64
19×distribute-rgt1-in_binary64
16×cube-unmult_binary64
14×log-pow_binary64 distribute-lft-out--_binary64
13×unpow3_binary64 difference-of-squares_binary64 distribute-neg-in_binary64
11×rem-sqrt-square_binary64
10×mul-1-neg_binary64
prod-exp_binary64 difference-of-sqr-1_binary64
*-lft-identity_binary64
cube-mult_binary64 associate-+l-_binary64
difference-of-sqr--1_binary64 distribute-lft1-in_binary64 associate-+r-_binary64
exp-diff_binary64 exp-sum_binary64 remove-double-neg_binary64
cube-neg_binary64 sqr-neg_binary64
unpow1/3_binary64 *-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_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 div-exp_binary64 rec-exp_binary64 e-exp-1_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 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r+_binary64
Counts
60 → 22
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069560
1158519
2450510
31723504
44939504
54977504

prune13.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done022
Total22325
Error
0.0b
Counts
25 → 3
Compiler

Compiled 505 to 236 computations (53.3% saved)

regimes106.0ms (4.8%)

Accuracy

Total 0.3b remaining (85.3%)

Threshold costs 0.3b (85.3%)

Compiler

Compiled 834 to 607 computations (27.2% saved)

bsearch12.0ms (0.6%)

Steps
ItersRangePoint
8
-0.011686751432987542
-7.2530769083041904e-06
-7.272070938479743e-05
Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64 sub-neg_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-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-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
02035
12935
23035
32835

end1.0ms (0.1%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

sample1.0s (47.6%)

Algorithm
intervals
Results
415.0ms2675×body1024valid
118.0ms1356×body512valid
76.0ms3050×body128valid
44.0ms659×body256valid
43.0ms260×body2048valid
Compiler

Compiled 101 to 78 computations (22.8% saved)

Profiling

Loading profile data...