Details

Time bar (total: 3.0s)

analyze112.0ms (3.7%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 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--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
0918
11518
22118
32718
42918
52918
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
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (1%)

Algorithm
intervals
Results
10.0ms57×body1024valid
8.0ms164×body128valid
3.0ms21×body512valid
2.0ms14×body256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 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--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
069
199
2129
3169
4179
5179

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))

rewrite64.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*l*_binary64 associate-/l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 59
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 741 to 193 computations (74% saved)

series47.0ms (1.6%)

Error
0.2b
Counts
2 → 15
Calls

2 calls:

26.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 296 to 241 computations (18.6% saved)

simplify105.0ms (3.4%)

Algorithm
egg-herbie
Rules
487×associate-/r/_binary64
379×cancel-sign-sub-inv_binary64
324×associate-*l*_binary64
321×sub-neg_binary64
268×associate-*r*_binary64
204×associate-/l*_binary64
203×associate-*r/_binary64
194×associate-*l/_binary64
183×times-frac_binary64
162×div-sub_binary64
145×distribute-neg-in_binary64
141×distribute-rgt-neg-in_binary64
136×unswap-sqr_binary64
122×distribute-lft-neg-in_binary64
117×neg-mul-1_binary64
115×*-commutative_binary64
109×neg-sub0_binary64
98×associate-/r*_binary64
94×associate-+l-_binary64
86×associate-/l/_binary64
84×cube-prod_binary64 sqr-pow_binary64
77×associate-+l+_binary64
67×log-prod_binary64
66×associate--l+_binary64
58×+-commutative_binary64
57×unsub-neg_binary64
49×associate-+r+_binary64
48×cube-div_binary64
47×log-div_binary64 distribute-rgt-out--_binary64
45×*-lft-identity_binary64
44×swap-sqr_binary64
41×associate-+r-_binary64
40×exp-prod_binary64
39×*-rgt-identity_binary64 associate--r+_binary64
34×sub0-neg_binary64
31×distribute-lft-out--_binary64
30×associate--l-_binary64
27×distribute-rgt-out_binary64
26×unpow3_binary64
25×/-rgt-identity_binary64 +-rgt-identity_binary64
18×distribute-rgt-in_binary64
17×rem-sqrt-square_binary64
16×remove-double-neg_binary64 distribute-lft-out_binary64
15×cube-unmult_binary64 cube-mult_binary64 pow-sqr_binary64
14×distribute-lft-in_binary64
12×pow-plus_binary64
10×log-rec_binary64
--rgt-identity_binary64 associate--r-_binary64
cancel-sign-sub_binary64
distribute-neg-frac_binary64
mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64
log-pow_binary64 unpow1/2_binary64 sqr-neg_binary64 remove-double-div_binary64
exp-sum_binary64 cube-neg_binary64 distribute-rgt1-in_binary64
exp-diff_binary64 count-2_binary64
sin-neg_binary64 unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 +-lft-identity_binary64 +-inverses_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 div0_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 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
Counts
74 → 32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0113994
1263911
2802905
32373902
43991902
54794902
65130902

prune27.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New24832
Fresh000
Picked011
Done000
Total24933
Error
0.0b
Counts
33 → 9
Compiler

Compiled 362 to 158 computations (56.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite67.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

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

Compiled 1215 to 234 computations (80.7% saved)

series75.0ms (2.5%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
18.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 500 to 347 computations (30.6% saved)

simplify100.0ms (3.3%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64 associate-*l/_binary64
unpow1_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 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 sqr-abs_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 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune21.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh257
Picked011
Done011
Total51859
Error
0.0b
Counts
59 → 8
Compiler

Compiled 506 to 187 computations (63% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (cbrt.f64 x))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite59.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×cbrt-prod_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 60
Calls

4 calls:

3.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
1.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1441 to 406 computations (71.8% saved)

series95.0ms (3.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

30.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
23.0ms
(cbrt.f64 (cbrt.f64 x))
17.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
Compiler

Compiled 728 to 481 computations (33.9% saved)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Rules
657×distribute-rgt-in_binary64
616×distribute-lft-in_binary64
329×*-commutative_binary64
309×log-prod_binary64
295×swap-sqr_binary64
278×distribute-lft-neg-in_binary64
277×distribute-rgt-neg-in_binary64
244×sqr-pow_binary64
218×associate-*l*_binary64
177×associate-*r*_binary64
155×cube-prod_binary64
90×exp-prod_binary64
76×pow-sqr_binary64
70×cancel-sign-sub-inv_binary64
62×distribute-rgt-out_binary64
55×neg-sub0_binary64
54×neg-mul-1_binary64
51×pow-plus_binary64 unswap-sqr_binary64
48×log-pow_binary64
38×distribute-lft-out_binary64
30×cube-unmult_binary64
25×rem-sqrt-square_binary64
18×associate-/l*_binary64
17×associate-+l+_binary64 associate-+r+_binary64
15×sub-neg_binary64
13×unpow3_binary64
12×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-mult_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
rem-3cbrt-rft_binary64
associate-/l/_binary64
*-rgt-identity_binary64 count-2_binary64
unpow1/3_binary64 times-frac_binary64 associate-*r/_binary64
distribute-rgt1-in_binary64
rem-3cbrt-lft_binary64 mul-1-neg_binary64 *-lft-identity_binary64 associate-/r/_binary64 associate-*l/_binary64
1-exp_binary64 rem-cbrt-cube_binary64 /-rgt-identity_binary64 +-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 unsub-neg_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 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-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
72 → 37
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074697
1140659
2319650
31086620
42210607
55320607

prune21.0ms (0.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New36137
Fresh055
Picked011
Done022
Total36945
Error
0.0b
Counts
45 → 9
Compiler

Compiled 626 to 246 computations (60.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (sin.f64 y))
7.2b
(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite44.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

5.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
5.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 503 to 199 computations (60.4% saved)

series55.0ms (1.8%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

25.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
21.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 440 to 352 computations (20% saved)

simplify102.0ms (3.4%)

Algorithm
egg-herbie
Rules
745×times-frac_binary64
574×associate-/l*_binary64
361×associate-*l*_binary64
309×associate-*r*_binary64
256×distribute-rgt-neg-in_binary64
226×distribute-lft-neg-in_binary64
200×associate-*l/_binary64
190×associate-/l/_binary64
165×neg-mul-1_binary64
164×associate-/r*_binary64
151×cancel-sign-sub-inv_binary64
149×associate-*r/_binary64
125×sub-neg_binary64
107×associate-/r/_binary64 *-commutative_binary64
77×cube-prod_binary64
76×log-prod_binary64 distribute-rgt-out--_binary64
73×log-div_binary64
72×unswap-sqr_binary64
68×cube-div_binary64
58×distribute-neg-frac_binary64
50×sqr-pow_binary64
49×swap-sqr_binary64
45×*-rgt-identity_binary64
42×neg-sub0_binary64 *-lft-identity_binary64
36×exp-prod_binary64
33×unpow3_binary64 div-sub_binary64 +-commutative_binary64
31×associate--l+_binary64
29×/-rgt-identity_binary64
25×associate-+l-_binary64
22×cube-mult_binary64
20×associate-+r-_binary64
19×unsub-neg_binary64 associate-+l+_binary64
18×associate-+r+_binary64
16×log-rec_binary64
15×pow-plus_binary64 distribute-rgt-out_binary64
14×cube-unmult_binary64 distribute-lft-neg-out_binary64
12×+-rgt-identity_binary64 remove-double-div_binary64 associate--r+_binary64
sub0-neg_binary64 distribute-lft-out_binary64 associate--l-_binary64
distribute-lft-out--_binary64
pow-sqr_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64
log-pow_binary64 distribute-neg-out_binary64 distribute-rgt-in_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 cancel-sign-sub_binary64
distribute-rgt-neg-out_binary64
unpow2_binary64 unpow1_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 div0_binary64 +-inverses_binary64 distribute-lft1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 distribute-frac-neg_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64
Counts
57 → 21
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0102718
1251635
2897617
33894617
44707617
54977617
64912617

prune17.0ms (0.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New19221
Fresh055
Picked011
Done033
Total191130
Error
0.0b
Counts
30 → 11
Compiler

Compiled 226 to 137 computations (39.4% saved)

regimes742.0ms (24.4%)

Accuracy

Total 0.1b remaining (80.5%)

Threshold costs 0.1b (80.5%)

Compiler

Compiled 6060 to 3958 computations (34.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end1.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample1.1s (37.1%)

Algorithm
intervals
Results
267.0ms5410×body128valid
245.0ms1299×body1024valid
109.0ms843×body512valid
40.0ms447×body256valid
0.0msbody2048valid
Compiler

Compiled 174 to 123 computations (29.3% saved)

Profiling

Loading profile data...