Details

Time bar (total: 1.9s)

analyze22.0ms (1.2%)

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)

sample14.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.5%)

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
0.3b
Counts
1 → 1
Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 x (log.f64 x))

rewrite29.0ms (1.5%)

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)

series16.0ms (0.8%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

14.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify84.0ms (4.3%)

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

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11314
Fresh000
Picked011
Done000
Total11415
Error
0.1b
Counts
15 → 4
Compiler

Compiled 105 to 49 computations (53.3% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite83.0ms (4.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
15×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×pow1_binary64 cbrt-prod_binary64 log-prod_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-*l*_binary64 associate-*r*_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
4×add-log-exp_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
3×pow1/3_binary64
2×*-commutative_binary64 log-pow_binary64
1×unswap-sqr_binary64
Counts
4 → 72
Calls

4 calls:

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

Compiled 1257 to 466 computations (62.9% saved)

series100.0ms (5.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

32.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
29.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 534 to 407 computations (23.8% saved)

simplify64.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
524×associate-+l+_binary64
500×associate-+r+_binary64
424×*-commutative_binary64
217×unswap-sqr_binary64
202×associate-*l*_binary64
188×associate-*r*_binary64
162×log-prod_binary64
117×distribute-rgt-in_binary64
116×distribute-lft-in_binary64
111×exp-prod_binary64
97×sqr-pow_binary64
92×swap-sqr_binary64
88×cube-prod_binary64 distribute-rgt-out_binary64
81×count-2_binary64
62×exp-sum_binary64
45×associate-/r*_binary64 associate--r+_binary64
41×distribute-rgt-neg-in_binary64
40×associate-/l*_binary64
39×distribute-lft-neg-in_binary64
33×cancel-sign-sub-inv_binary64
31×pow-sqr_binary64
28×distribute-neg-in_binary64
27×*-lft-identity_binary64
26×*-rgt-identity_binary64
23×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
22×associate-/l/_binary64
17×log-pow_binary64
16×log-div_binary64
15×neg-sub0_binary64
14×exp-to-pow_binary64 neg-mul-1_binary64
12×unpow3_binary64
11×cube-mult_binary64 sub-neg_binary64
10×cube-unmult_binary64
8×distribute-lft-out_binary64
7×pow-plus_binary64
6×exp-lft-sqr_binary64 distribute-rgt1-in_binary64 associate-*r/_binary64 associate-+r-_binary64
5×associate-+l-_binary64
4×prod-exp_binary64 rem-sqrt-square_binary64 distribute-neg-out_binary64 +-commutative_binary64
3×log-rec_binary64 unpow1/3_binary64 unsub-neg_binary64 associate--l+_binary64
2×rec-exp_binary64 associate-/r/_binary64
1×unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-inverses_binary64 distribute-rgt-out--_binary64 associate--l-_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 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_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 div-sub_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 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-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64
Counts
84 → 45
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01081006
1206844
2922842
31904842
44974842

prune28.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New40545
Fresh022
Picked101
Done011
Total41849
Error
0.0b
Counts
49 → 8
Compiler

Compiled 566 to 270 computations (52.3% saved)

localize19.0ms (1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite72.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64
9×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
4×pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 47
Calls

4 calls:

1.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1260 to 523 computations (58.5% saved)

series80.0ms (4.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

21.0ms
(cbrt.f64 (cbrt.f64 x))
18.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 826 to 582 computations (29.5% saved)

simplify96.0ms (5%)

Algorithm
1×egg-herbie
Rules
513×log-prod_binary64
450×unswap-sqr_binary64
391×associate-+l+_binary64
359×associate-+r+_binary64
347×distribute-rgt-in_binary64
341×distribute-lft-in_binary64
328×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
214×distribute-rgt-out_binary64
192×*-commutative_binary64
149×distribute-lft-out_binary64
137×cancel-sign-sub-inv_binary64
126×sqr-pow_binary64
123×associate-*l*_binary64
88×associate-*r*_binary64
84×log-pow_binary64
51×neg-sub0_binary64
50×neg-mul-1_binary64
38×pow-sqr_binary64
34×rem-sqrt-square_binary64
33×exp-prod_binary64
28×sub-neg_binary64
27×pow-plus_binary64
24×unpow3_binary64 unsub-neg_binary64
23×cube-prod_binary64
22×cube-unmult_binary64
19×distribute-rgt1-in_binary64
15×distribute-lft1-in_binary64
14×count-2_binary64
9×unpow2_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
8×mul0-rgt_binary64 mul0-lft_binary64
7×cube-mult_binary64
5×associate-/l/_binary64 associate-*r/_binary64
4×associate-/l*_binary64
3×unpow1/3_binary64 unpow1_binary64 +-commutative_binary64
2×rem-3cbrt-lft_binary64 swap-sqr_binary64 associate-/r/_binary64
1×unpow1/2_binary64 1-exp_binary64 rem-cbrt-cube_binary64 times-frac_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-/r*_binary64 associate-+l-_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-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 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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_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 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-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
59 → 22
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038424
163424
2158424
3489376
4976376
53453376
64795376
74957376
84718376

prune20.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh066
Picked101
Done011
Total22830
Error
0.0b
Counts
30 → 8
Compiler

Compiled 368 to 207 computations (43.8% saved)

localize24.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

rewrite95.0ms (4.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
9×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 cbrt-prod_binary64
5×pow1_binary64 add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×unpow-prod-down_binary64 pow-unpow_binary64 pow1/3_binary64
1×pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 50
Calls

4 calls:

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

Compiled 1637 to 793 computations (51.6% saved)

series80.0ms (4.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(cbrt.f64 x)
18.0ms
(pow.f64 x 2/3)
18.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
Compiler

Compiled 1028 to 707 computations (31.2% saved)

simplify80.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
943×log-prod_binary64
669×associate-*l*_binary64
467×associate-*r*_binary64
435×cancel-sign-sub-inv_binary64
239×unswap-sqr_binary64
215×exp-sum_binary64
154×log-div_binary64
153×sqr-pow_binary64
135×exp-prod_binary64
125×distribute-rgt-in_binary64
119×log-pow_binary64
113×distribute-lft-in_binary64
92×sub-neg_binary64
83×*-commutative_binary64
74×swap-sqr_binary64 associate-/r*_binary64
67×cube-prod_binary64
61×div-sub_binary64
53×exp-diff_binary64 distribute-rgt-neg-in_binary64
50×distribute-lft-neg-in_binary64
48×pow-sqr_binary64 associate-+r+_binary64
41×neg-sub0_binary64
40×neg-mul-1_binary64
39×unsub-neg_binary64 associate--r+_binary64 associate-+l+_binary64
30×cube-unmult_binary64 distribute-neg-in_binary64
25×pow-plus_binary64 exp-to-pow_binary64
21×associate-/l/_binary64
19×distribute-rgt-out_binary64
14×associate-/l*_binary64 +-commutative_binary64
12×rem-sqrt-square_binary64 *-rgt-identity_binary64
10×associate--r-_binary64
9×*-lft-identity_binary64 +-lft-identity_binary64
8×unpow1/3_binary64 sub0-neg_binary64 count-2_binary64
7×distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 associate-*r/_binary64
6×unpow3_binary64 distribute-lft-neg-out_binary64 associate--l-_binary64
5×pow-base-1_binary64 mul-1-neg_binary64 remove-double-neg_binary64
4×prod-exp_binary64 rem-exp-log_binary64 cube-mult_binary64 times-frac_binary64
3×log-rec_binary64 +-rgt-identity_binary64 associate-*l/_binary64 associate-+l-_binary64
2×unpow2_binary64 exp-neg_binary64 /-rgt-identity_binary64 associate-/r/_binary64 associate--l+_binary64
1×log-E_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_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 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-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 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
62 → 39
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054347
1100339
2228331
3705331
42771325
54356325
65350325

prune41.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh156
Picked101
Done011
Total39847
Error
0.0b
Counts
47 → 8
Compiler

Compiled 762 to 399 computations (47.6% saved)

regimes269.0ms (13.8%)

Accuracy

Total 0.2b remaining (88.3%)

Threshold costs 0.2b (88.3%)

Compiler

Compiled 3419 to 2178 computations (36.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (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)

sample591.0ms (30.4%)

Algorithm
1×intervals
Results
220.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 159 to 111 computations (30.2% saved)

Profiling

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