Details

Time bar (total: 3.5s)

analyze93.0ms (2.6%)

Algorithm
1×search
2×egg-herbie
Rules
2×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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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-*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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11114
21114
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.4%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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-*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 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
12.3b
Counts
1 → 1
Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.0b
(/.f64 x (*.f64 y y))

rewrite30.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-exp-log_binary64 add-cbrt-cube_binary64
3×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-/l*_binary64
2×div-exp_binary64 cbrt-undiv_binary64
1×pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/r*_binary64
Counts
1 → 21
Calls

1 calls:

9.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 207 to 64 computations (69.1% saved)

series18.0ms (0.5%)

Error
12.3b
Counts
1 → 6
Calls

1 calls:

16.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 65 to 65 computations (0% saved)

simplify90.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
320×*-commutative_binary64
249×associate-/r*_binary64
198×unswap-sqr_binary64
171×associate-*l/_binary64 associate-*l*_binary64
157×distribute-rgt-in_binary64
127×distribute-lft-in_binary64
123×associate-/r/_binary64
121×unsub-neg_binary64 associate-*r*_binary64
114×cancel-sign-sub-inv_binary64
107×associate--l+_binary64
105×associate-+l+_binary64
103×times-frac_binary64
98×associate--r+_binary64
78×sub-neg_binary64 associate-*r/_binary64
73×log-prod_binary64
65×associate-+r+_binary64
57×associate--l-_binary64
56×cube-prod_binary64
55×neg-mul-1_binary64
53×associate-+l-_binary64
52×neg-sub0_binary64
51×sqr-pow_binary64
50×distribute-lft-neg-in_binary64
44×distribute-rgt-neg-in_binary64
40×unpow3_binary64
38×associate--r-_binary64
36×distribute-neg-in_binary64
31×pow-plus_binary64 cube-mult_binary64
30×log-pow_binary64
26×+-commutative_binary64
18×log-div_binary64
15×cube-div_binary64 swap-sqr_binary64
14×associate-+r-_binary64
12×distribute-rgt-out--_binary64
11×count-2_binary64
10×cube-unmult_binary64 pow-sqr_binary64 distribute-rgt-out_binary64
9×distribute-lft-neg-out_binary64
8×sub0-neg_binary64 distribute-rgt-neg-out_binary64
7×distribute-lft-out_binary64
6×--rgt-identity_binary64
5×fabs-mul_binary64 distribute-lft-out--_binary64
4×exp-diff_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64
3×unpow2_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64
2×fabs-sqr_binary64
1×unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 +-lft-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 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_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-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-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-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
27 → 15
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044289
193244
2218244
3577244
41866244
52383244
63874244
74954244
84869244

prune8.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516
Error
0.4b
Counts
16 → 5
Compiler

Compiled 84 to 48 computations (42.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 y (/.f64 x y))
0.7b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite356.0ms (10%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64
229×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
57×associate-/r*_binary64
28×add-exp-log_binary64
22×div-inv_binary64
18×div-exp_binary64
16×add-cbrt-cube_binary64
9×cbrt-undiv_binary64
6×associate-/r/_binary64 associate-/l*_binary64
3×pow1_binary64 1-exp_binary64 rec-exp_binary64
2×add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
1×inv-pow_binary64 pow-flip_binary64
Counts
2 → 274
Calls

2 calls:

12.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
5.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 5248 to 1981 computations (62.3% saved)

series36.0ms (1%)

Error
0.4b
Counts
2 → 12
Calls

2 calls:

17.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
16.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 156 to 154 computations (1.3% saved)

simplify350.0ms (9.9%)

Algorithm
1×egg-herbie
Rules
427×associate-/r/_binary64
332×distribute-rgt-in_binary64
318×unsub-neg_binary64
282×associate-/l/_binary64
249×associate-*r/_binary64
227×associate-*l/_binary64
206×div-sub_binary64
199×sqr-pow_binary64
179×unswap-sqr_binary64 *-commutative_binary64
172×associate-/l*_binary64
158×cancel-sign-sub-inv_binary64
157×sub-neg_binary64
155×associate-/r*_binary64
120×distribute-neg-in_binary64
118×associate--r+_binary64
115×associate-+r+_binary64
112×times-frac_binary64
92×associate--r-_binary64
91×log-prod_binary64
90×*-rgt-identity_binary64
87×neg-mul-1_binary64 associate-*l*_binary64
84×exp-prod_binary64
81×neg-sub0_binary64
79×associate-+r-_binary64
78×cube-prod_binary64 associate-*r*_binary64
69×distribute-rgt-neg-in_binary64
63×pow-sqr_binary64
59×log-div_binary64
52×distribute-lft-neg-in_binary64 associate-+l+_binary64
50×cube-div_binary64
49×rem-sqrt-square_binary64 swap-sqr_binary64
46×associate--l+_binary64
43×distribute-neg-frac_binary64
35×remove-double-div_binary64 distribute-lft-in_binary64
33×associate-+l-_binary64
30×associate--l-_binary64
21×log-rec_binary64 unpow3_binary64 *-lft-identity_binary64
20×distribute-neg-out_binary64
19×log-pow_binary64 fabs-mul_binary64 distribute-lft-neg-out_binary64
15×unpow1/2_binary64 +-commutative_binary64
14×+-rgt-identity_binary64 distribute-rgt-out_binary64
13×cube-mult_binary64
12×cube-unmult_binary64 /-rgt-identity_binary64 --rgt-identity_binary64
11×fabs-sqr_binary64
9×sub0-neg_binary64 +-lft-identity_binary64
8×div0_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
7×pow-plus_binary64 exp-diff_binary64 distribute-rgt1-in_binary64
6×remove-double-neg_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64
5×mul0-lft_binary64 distribute-lft1-in_binary64
4×count-2_binary64
3×unpow2_binary64 exp-sum_binary64 fabs-div_binary64 mul0-rgt_binary64
2×unpow1_binary64
1×1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-inverses_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 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
286 → 272
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
03266489
17155636
224005291
325375235
435855220
542955012
647544898
749974898

prune174.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2666272
Fresh303
Picked011
Done011
Total2698277
Error
0b
Counts
277 → 8
Compiler

Compiled 2492 to 1026 computations (58.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (/.f64 x y) (/.f64 1 y))

rewrite69.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×add-cbrt-cube_binary64 associate-*l*_binary64 associate-*r*_binary64
8×div-exp_binary64 prod-exp_binary64
6×unswap-sqr_binary64
4×cbrt-unprod_binary64 cbrt-undiv_binary64
3×pow1_binary64
2×1-exp_binary64 rec-exp_binary64 div-inv_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 frac-times_binary64 un-div-inv_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
1 → 57
Calls

1 calls:

11.0ms
(*.f64 (/.f64 x y) (/.f64 1 y))
Compiler

Compiled 802 to 386 computations (51.9% saved)

series18.0ms (0.5%)

Error
0b
Counts
1 → 6
Calls

1 calls:

17.0ms
(*.f64 (/.f64 x y) (/.f64 1 y))
Compiler

Compiled 65 to 65 computations (0% saved)

simplify93.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
673×unswap-sqr_binary64
394×times-frac_binary64
388×associate-/l*_binary64
291×associate-*l/_binary64
271×*-commutative_binary64
268×unsub-neg_binary64
259×distribute-rgt-in_binary64
225×associate-*r/_binary64
184×sqr-pow_binary64
161×distribute-lft-in_binary64
160×associate-/l/_binary64
151×sub-neg_binary64
140×cancel-sign-sub-inv_binary64
124×associate--l-_binary64
121×associate-/r*_binary64
108×distribute-neg-in_binary64
105×associate-*l*_binary64
88×log-prod_binary64
86×associate-/r/_binary64
80×cube-prod_binary64
75×associate-*r*_binary64
68×*-rgt-identity_binary64
63×pow-sqr_binary64
57×cube-div_binary64
54×log-div_binary64
53×associate--r+_binary64
52×swap-sqr_binary64
51×*-lft-identity_binary64
45×neg-mul-1_binary64
44×associate-+r+_binary64
42×neg-sub0_binary64
41×exp-prod_binary64 associate-+r-_binary64
26×rem-sqrt-square_binary64 associate-+l+_binary64
23×associate--l+_binary64
22×+-commutative_binary64
21×/-rgt-identity_binary64
19×unpow3_binary64 associate--r-_binary64
17×+-rgt-identity_binary64 associate-+l-_binary64
16×cube-mult_binary64
14×distribute-lft-neg-in_binary64
13×distribute-rgt-neg-in_binary64
12×log-pow_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64
11×log-rec_binary64
10×pow-plus_binary64
9×fabs-mul_binary64 remove-double-div_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64
7×distribute-rgt-neg-out_binary64 distribute-lft-out_binary64
6×unpow1/2_binary64 cube-unmult_binary64 distribute-neg-out_binary64
5×fabs-sqr_binary64 count-2_binary64
4×+-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64
3×--rgt-identity_binary64
2×unpow2_binary64 distribute-lft1-in_binary64
1×unpow1_binary64 1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 sub0-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 erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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
Counts
63 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101801
1259675
2789647
31942635
42566635
53752635
64953635

prune34.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New54155
Fresh145
Picked011
Done022
Total55863
Error
0b
Counts
63 → 8
Compiler

Compiled 458 to 198 computations (56.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite76.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
9×pow1/3_binary64
6×add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1283 to 369 computations (71.2% saved)

series76.0ms (2.1%)

Error
0b
Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
16.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
Compiler

Compiled 532 to 386 computations (27.4% saved)

simplify108.0ms (3%)

Algorithm
1×egg-herbie
Rules
850×log-prod_binary64
525×unswap-sqr_binary64
346×sqr-pow_binary64
307×distribute-rgt-neg-in_binary64
298×associate-*l*_binary64
290×distribute-lft-neg-in_binary64
249×*-commutative_binary64
246×distribute-lft-out_binary64
228×exp-prod_binary64
201×associate-*r*_binary64
181×cube-prod_binary64
164×fabs-mul_binary64
151×swap-sqr_binary64
137×log-pow_binary64
112×cancel-sign-sub-inv_binary64 distribute-rgt-out_binary64
103×pow-sqr_binary64
100×log-div_binary64
98×associate-/l*_binary64
77×neg-mul-1_binary64
58×neg-sub0_binary64
57×rem-sqrt-square_binary64
55×associate-+l+_binary64
50×associate-+r+_binary64
48×distribute-rgt-in_binary64
46×times-frac_binary64
45×distribute-lft-in_binary64
43×unpow3_binary64
41×associate-/r/_binary64
39×pow-plus_binary64
35×associate-*r/_binary64
33×associate-/r*_binary64
32×associate-/l/_binary64
28×cube-mult_binary64 +-commutative_binary64
25×sub-neg_binary64
24×fabs-sqr_binary64
20×cube-unmult_binary64 *-rgt-identity_binary64
19×*-lft-identity_binary64 count-2_binary64
17×cube-div_binary64 fabs-div_binary64 distribute-neg-frac_binary64
16×distribute-rgt1-in_binary64
9×associate-*l/_binary64
8×unpow1/2_binary64
7×distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
6×unpow2_binary64
5×unpow1_binary64 distribute-lft-neg-out_binary64
4×rem-cbrt-cube_binary64 mul-1-neg_binary64
3×unpow1/3_binary64
2×exp-sqrt_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64
1×log-rec_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-neg_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056642
197594
2309574
3800560
41864436
52894436
64605436
74971436

prune26.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done033
Total60868
Error
0b
Counts
68 → 8
Compiler

Compiled 469 to 204 computations (56.5% saved)

regimes1.3s (35.8%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Compiler

Compiled 15251 to 10927 computations (28.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_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 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 *-commutative_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end1.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

sample573.0ms (16.2%)

Algorithm
1×intervals
Results
164.0ms8000×body128valid
8.0ms397×body128invalid
Compiler

Compiled 122 to 97 computations (20.5% saved)

Profiling

Loading profile data...