Details

Time bar (total: 2.0s)

analyze28.0ms (1.4%)

Algorithm
1×search
2×egg-herbie
Rules
1×*-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 1-exp_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 5 to 4 computations (20% saved)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 1-exp_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.2b
Counts
1 → 1
Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (log.f64 x))

rewrite23.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×add-sqr-sqrt_binary64
6×log-prod_binary64
5×add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×pow1_binary64 associate-*r*_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l*_binary64
1×pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 log-pow_binary64 *-commutative_binary64
Counts
1 → 25
Calls

1 calls:

4.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 221 to 69 computations (68.8% saved)

series20.0ms (1%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

17.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify89.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
585×unsub-neg_binary64
539×distribute-rgt-neg-out_binary64
528×neg-sub0_binary64
526×div-sub_binary64
496×neg-mul-1_binary64
427×distribute-rgt-in_binary64
411×distribute-lft-in_binary64
359×distribute-lft-neg-out_binary64
327×exp-sum_binary64
264×associate-*l*_binary64
218×associate-*r*_binary64
179×exp-diff_binary64
162×log-prod_binary64
147×distribute-neg-in_binary64
127×exp-prod_binary64
125×associate-+r+_binary64
103×sub-neg_binary64
81×associate-+l+_binary64
76×cancel-sign-sub-inv_binary64
67×associate--r+_binary64
51×*-commutative_binary64
50×log-div_binary64
45×cube-prod_binary64
42×sqr-pow_binary64
40×distribute-neg-out_binary64
36×associate-+r-_binary64
33×associate--r-_binary64
23×*-rgt-identity_binary64
22×exp-to-pow_binary64 *-lft-identity_binary64 unswap-sqr_binary64
17×rem-sqrt-square_binary64
16×cube-div_binary64
15×mul0-lft_binary64
14×mul0-rgt_binary64
13×pow-sqr_binary64
12×exp-neg_binary64
11×mul-1-neg_binary64 swap-sqr_binary64
9×log-pow_binary64 prod-exp_binary64 associate-+l-_binary64
8×distribute-rgt-neg-in_binary64 +-commutative_binary64
7×cube-unmult_binary64 distribute-frac-neg_binary64
6×unpow3_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 associate--l-_binary64
5×--rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 associate--l+_binary64
4×+-inverses_binary64 associate-/l*_binary64
3×unpow1/2_binary64 div-exp_binary64 cube-mult_binary64 sub0-neg_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64
2×pow-plus_binary64 distribute-neg-frac_binary64 associate-/r*_binary64
1×log-E_binary64 log-rec_binary64 pow-base-1_binary64 rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-exp-log_binary64 distribute-rgt-out--_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 /-rgt-identity_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate-/r/_binary64 associate-*l/_binary64
Counts
28 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054299
194265
2264265
3487265
41976265
53472265
64959265
74864265

prune9.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New10414
Fresh000
Picked011
Done000
Total10515
Error
0.1b
Counts
15 → 5
Compiler

Compiled 112 to 55 computations (50.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite83.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64 log-prod_binary64 associate-+r+_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×add-log-exp_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
3×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×pow1/3_binary64
1×sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 64
Calls

4 calls:

7.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1250 to 477 computations (61.8% saved)

series106.0ms (5.2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

33.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
31.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
16.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 494 to 385 computations (22.1% saved)

simplify96.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
549×cancel-sign-sub-inv_binary64
501×*-commutative_binary64
291×unswap-sqr_binary64
227×distribute-rgt-in_binary64
206×distribute-lft-in_binary64
185×associate-*l*_binary64
177×log-prod_binary64
175×associate-*r*_binary64
165×distribute-rgt-out_binary64
149×distribute-lft-out_binary64
124×cube-prod_binary64
119×sqr-pow_binary64
116×swap-sqr_binary64
104×exp-prod_binary64
97×distribute-rgt-neg-in_binary64
90×distribute-lft-neg-in_binary64
76×sub-neg_binary64
62×neg-sub0_binary64
60×neg-mul-1_binary64
53×exp-sum_binary64
52×+-commutative_binary64
48×distribute-rgt-out--_binary64
32×log-pow_binary64 log-div_binary64 associate-+l+_binary64
31×pow-sqr_binary64
27×associate-+r+_binary64
26×distribute-lft-out--_binary64
25×exp-to-pow_binary64
23×unpow3_binary64
18×cube-mult_binary64
17×unsub-neg_binary64
14×associate-/r*_binary64
11×distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64
9×pow-plus_binary64 difference-of-squares_binary64
7×log-rec_binary64 div-sub_binary64 associate-+r-_binary64
6×exp-lft-sqr_binary64 prod-exp_binary64 cube-unmult_binary64 +-rgt-identity_binary64 count-2_binary64 associate-/l*_binary64 associate-+l-_binary64
5×exp-diff_binary64
4×rem-sqrt-square_binary64 distribute-rgt-neg-out_binary64
3×unpow1/3_binary64 remove-double-neg_binary64 sub0-neg_binary64 distribute-neg-in_binary64 distribute-lft1-in_binary64 associate--r+_binary64
2×rec-exp_binary64 mul-1-neg_binary64 associate--l+_binary64
1×unpow1_binary64 exp-lft-cube_binary64 1-exp_binary64 rem-exp-log_binary64 rem-3cbrt-lft_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 *-lft-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
76 → 52
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211128
1290907
21095760
33076752
44970752
54912752

prune44.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh213
Picked101
Done011
Total49857
Error
0.0b
Counts
57 → 8
Compiler

Compiled 718 to 339 computations (52.8% saved)

localize18.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (pow.f64 x 2/3))
0.6b
(cbrt.f64 (cbrt.f64 x))
6.0b
(pow.f64 x 2/3)

rewrite95.0ms (4.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
19×cbrt-prod_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
6×unpow-prod-down_binary64
5×pow1_binary64 add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64 pow1/3_binary64
2×sqr-pow_binary64
1×pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64
Counts
4 → 57
Calls

4 calls:

5.0ms
(pow.f64 x 2/3)
2.0ms
(cbrt.f64 (pow.f64 x 2/3))
2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1296 to 738 computations (43.1% saved)

series82.0ms (4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt.f64 (cbrt.f64 x))
19.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 (pow.f64 x 2/3))
16.0ms
(pow.f64 x 2/3)
Compiler

Compiled 671 to 512 computations (23.7% saved)

simplify72.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
566×exp-sum_binary64
345×log-prod_binary64
334×associate-*l*_binary64
330×associate-/r*_binary64
312×log-div_binary64
270×associate-*r*_binary64
198×distribute-rgt-in_binary64
193×exp-prod_binary64
179×distribute-rgt-neg-in_binary64
172×distribute-lft-neg-in_binary64
170×distribute-lft-in_binary64
141×associate-+r+_binary64
125×associate-+l+_binary64
123×sqr-pow_binary64
105×swap-sqr_binary64
83×associate-/l/_binary64
79×cancel-sign-sub-inv_binary64
75×exp-diff_binary64
73×associate--r+_binary64
65×unswap-sqr_binary64
59×log-pow_binary64
50×cube-prod_binary64
46×distribute-neg-in_binary64
45×unpow3_binary64
44×*-commutative_binary64
40×pow-plus_binary64
36×pow-sqr_binary64
28×associate-/l*_binary64
26×neg-sub0_binary64
25×neg-mul-1_binary64 distribute-rgt-out_binary64
24×cube-unmult_binary64
22×sub-neg_binary64
21×distribute-rgt-neg-out_binary64
20×exp-to-pow_binary64
17×distribute-lft-out_binary64
14×distribute-lft-neg-out_binary64
13×rem-sqrt-square_binary64 +-commutative_binary64
12×count-2_binary64
10×associate--r-_binary64
9×unpow1/3_binary64 div-sub_binary64
7×associate-*r/_binary64
6×unsub-neg_binary64
5×pow-base-1_binary64 associate--l-_binary64
4×unpow2_binary64 prod-exp_binary64
3×rem-3cbrt-lft_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 +-lft-identity_binary64 associate-*l/_binary64 associate-+l-_binary64
2×log-rec_binary64 exp-neg_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 sub0-neg_binary64 associate-/r/_binary64 associate--l+_binary64
1×unpow1/2_binary64 unpow1_binary64 1-exp_binary64 cube-mult_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-inverses_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 /-rgt-identity_binary64 --rgt-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
69 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084545
1141505
2349495
31540491
43776491
55296491

prune41.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh066
Picked101
Done011
Total42951
Error
0.0b
Counts
51 → 9
Compiler

Compiled 687 to 389 computations (43.4% saved)

localize22.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (exp.f64 (*.f64 2/3 (log.f64 x))))
0.6b
(cbrt.f64 (cbrt.f64 x))
5.1b
(exp.f64 (*.f64 2/3 (log.f64 x)))

rewrite101.0ms (5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
21×cbrt-prod_binary64
12×add-cube-cbrt_binary64 log-prod_binary64 exp-sum_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
6×add-log-exp_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1/3_binary64
1×exp-to-pow_binary64 exp-prod_binary64 rem-exp-log_binary64
Counts
4 → 58
Calls

4 calls:

3.0ms
(exp.f64 (*.f64 2/3 (log.f64 x)))
2.0ms
(cbrt.f64 (exp.f64 (*.f64 2/3 (log.f64 x))))
2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1478 to 824 computations (44.2% saved)

series83.0ms (4.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt.f64 (cbrt.f64 x))
18.0ms
(cbrt.f64 (exp.f64 (*.f64 2/3 (log.f64 x))))
17.0ms
(cbrt.f64 x)
15.0ms
(exp.f64 (*.f64 2/3 (log.f64 x)))
Compiler

Compiled 703 to 541 computations (23% saved)

simplify80.0ms (4%)

Algorithm
1×egg-herbie
Rules
777×exp-sum_binary64
309×associate-+l+_binary64
303×log-prod_binary64
297×associate-+r+_binary64
290×distribute-rgt-in_binary64
280×associate-*l*_binary64
279×associate-/r*_binary64
266×distribute-lft-in_binary64
261×log-div_binary64
228×associate-*r*_binary64
207×exp-prod_binary64
148×distribute-rgt-neg-in_binary64
147×distribute-lft-neg-in_binary64
118×sqr-pow_binary64
90×prod-exp_binary64
80×associate--r+_binary64
72×exp-diff_binary64
71×swap-sqr_binary64
70×log-pow_binary64
65×associate-/l/_binary64
62×unswap-sqr_binary64
58×cancel-sign-sub-inv_binary64
53×*-commutative_binary64
42×distribute-neg-in_binary64
39×pow-sqr_binary64
36×distribute-rgt-out_binary64
35×cube-prod_binary64
33×associate-/l*_binary64
32×pow-plus_binary64 exp-to-pow_binary64
30×unpow3_binary64
22×neg-sub0_binary64
21×neg-mul-1_binary64
19×sub-neg_binary64
18×cube-unmult_binary64
17×distribute-lft-out_binary64
14×rem-sqrt-square_binary64
13×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
12×count-2_binary64
11×rem-exp-log_binary64
9×unpow1/3_binary64 distribute-rgt1-in_binary64 associate-*r/_binary64
8×div-sub_binary64 associate--r-_binary64
5×unsub-neg_binary64 distribute-lft1-in_binary64
4×pow-base-1_binary64 associate--l-_binary64
3×unpow2_binary64 exp-sqrt_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 associate-/r/_binary64 associate-+l-_binary64 +-commutative_binary64
2×log-rec_binary64 exp-lft-sqr_binary64 exp-neg_binary64 rem-log-exp_binary64 rem-cbrt-cube_binary64 sub0-neg_binary64 +-lft-identity_binary64 associate--l+_binary64
1×unpow1/2_binary64 unpow1_binary64 1-exp_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-inverses_binary64 distribute-neg-out_binary64 associate-+r-_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 --rgt-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-*l/_binary64
Counts
70 → 46
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
098633
1151573
2342525
31366505
44003501
55560501

prune39.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh077
Picked011
Done011
Total46955
Error
0.0b
Counts
55 → 9
Compiler

Compiled 611 to 344 computations (43.7% saved)

regimes242.0ms (12%)

Accuracy

Total 0.3b remaining (93.8%)

Threshold costs 0.3b (93.8%)

Compiler

Compiled 2921 to 1934 computations (33.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
3×neg-sub0_binary64 sub-neg_binary64 +-commutative_binary64
2×neg-mul-1_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
1×1-exp_binary64 mul-1-neg_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 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 /-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11311
22011
32511
43011
53211
63111

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample607.0ms (30.1%)

Algorithm
1×intervals
Results
228.0ms8000×body128valid
0.0ms2×body128nan
0.0ms1×body128invalid
Compiler

Compiled 173 to 128 computations (26% saved)

Profiling

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