Details

Time bar (total: 4.2s)

analyze420.0ms (10.1%)

Algorithm
search
egg-herbie
Rules
54×associate-/l*_binary64
47×*-commutative_binary64
38×associate-/r/_binary64
24×associate-*l/_binary64
20×associate-/l/_binary64
18×associate-/r*_binary64 associate-*r/_binary64
times-frac_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 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--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
01848
13848
27948
316448
421748
523548
623548
033
133
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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample37.0ms (0.9%)

Algorithm
intervals
Results
11.0ms51×body1024valid
8.0ms163×body128valid
4.0ms28×body512valid
1.0ms14×body256valid
1.0ms15×body128invalid
0.0msbody256invalid
0.0msbody1024invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
times-frac_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 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--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
0812
11312
22412
34812
46312
56812
66812

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
3.5b
Counts
1 → 1
Compiler

Compiled 8 to 7 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.2b
(/.f64 (sin.f64 y) y)
3.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite107.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×add-cube-cbrt_binary64 *-un-lft-identity_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/r*_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 associate-/l*_binary64
add-log-exp_binary64 div-inv_binary64 associate-*l*_binary64
frac-2neg_binary64 clear-num_binary64 associate-*r/_binary64 unswap-sqr_binary64
associate-/l/_binary64 pow-prod-down_binary64 *-commutative_binary64
Counts
3 → 83
Calls

3 calls:

8.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1205 to 315 computations (73.9% saved)

series75.0ms (1.8%)

Error
3.5b
Counts
3 → 21
Calls

3 calls:

41.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
21.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 412 to 344 computations (16.5% saved)

simplify101.0ms (2.4%)

Algorithm
egg-herbie
Rules
557×associate-*l/_binary64
412×associate-*l*_binary64
365×associate-*r*_binary64
364×sub-neg_binary64
363×associate-/r/_binary64
342×associate-/r*_binary64
183×*-commutative_binary64
127×associate-/l*_binary64
119×associate-+l-_binary64
115×log-prod_binary64
112×cube-div_binary64
111×log-div_binary64
105×cube-prod_binary64
102×associate--l+_binary64
92×unsub-neg_binary64 associate-+l+_binary64
91×associate--l-_binary64
84×neg-mul-1_binary64 distribute-rgt-neg-in_binary64
81×associate-*r/_binary64
78×neg-sub0_binary64
75×cancel-sign-sub-inv_binary64
72×distribute-lft-neg-in_binary64
71×times-frac_binary64
63×associate-/l/_binary64
57×sqr-pow_binary64
56×associate--r+_binary64
50×*-lft-identity_binary64
49×*-rgt-identity_binary64 associate-+r-_binary64
46×unpow3_binary64 associate--r-_binary64
44×cube-mult_binary64
42×distribute-neg-frac_binary64
40×div-sub_binary64
39×exp-prod_binary64
31×unswap-sqr_binary64
30×swap-sqr_binary64
22×/-rgt-identity_binary64
21×distribute-rgt-in_binary64 distribute-lft-in_binary64
20×+-commutative_binary64
16×distribute-neg-in_binary64
15×log-rec_binary64
12×associate-+r+_binary64
cube-unmult_binary64
+-rgt-identity_binary64
pow-sqr_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64
pow-plus_binary64 distribute-rgt-out--_binary64
log-pow_binary64 unpow1/2_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 div0_binary64
exp-sum_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 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 +-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 cancel-sign-sub_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64
Counts
104 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341440
13181257
211451257
334261254
445751254
550601254

prune32.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh000
Picked011
Done000
Total451156
Error
0.0b
Counts
56 → 11
Compiler

Compiled 506 to 211 computations (58.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
2.0b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite91.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64
25×add-exp-log_binary64
21×add-cbrt-cube_binary64
16×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
13×associate-*l*_binary64
cbrt-prod_binary64
prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-*r*_binary64
pow1_binary64
add-log-exp_binary64 unswap-sqr_binary64
pow1/3_binary64
div-inv_binary64
pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 81
Calls

4 calls:

11.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1778 to 363 computations (79.6% saved)

series152.0ms (3.7%)

Error
0.0b
Counts
4 → 19
Calls

4 calls:

95.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
18.0ms
(cbrt.f64 z)
15.0ms
(cbrt.f64 z)
15.0ms
(cbrt.f64 z)
Compiler

Compiled 874 to 678 computations (22.4% saved)

simplify84.0ms (2%)

Algorithm
egg-herbie
Rules
654×associate-/l*_binary64
629×associate-/r*_binary64
338×*-commutative_binary64
288×unswap-sqr_binary64
265×associate-/l/_binary64
136×associate-/r/_binary64
134×log-div_binary64
130×associate-*l/_binary64
122×associate-*r/_binary64
111×cube-div_binary64
100×associate-*l*_binary64
92×sub-neg_binary64
82×log-prod_binary64 associate-*r*_binary64
81×sqr-pow_binary64
75×times-frac_binary64
50×cube-prod_binary64
40×neg-sub0_binary64
39×neg-mul-1_binary64
36×cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
25×/-rgt-identity_binary64
23×exp-prod_binary64
22×associate-+l+_binary64
20×associate--r+_binary64
18×+-commutative_binary64
17×associate-+r+_binary64
16×unpow3_binary64 associate-+l-_binary64
15×cube-mult_binary64
14×associate-+r-_binary64
13×log-rec_binary64 unsub-neg_binary64 *-lft-identity_binary64
10×log-pow_binary64 cube-unmult_binary64 *-rgt-identity_binary64 swap-sqr_binary64
pow-plus_binary64 pow-sqr_binary64
distribute-neg-in_binary64 associate--l+_binary64
rem-sqrt-square_binary64
associate--r-_binary64
+-rgt-identity_binary64
unpow1/2_binary64
unpow1/3_binary64 unpow2_binary64 unpow1_binary64 remove-double-neg_binary64 distribute-rgt-in_binary64
distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-in_binary64 count-2_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_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-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
100 → 67
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01401798
13581327
212701327
340001327
449871327

prune40.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh099
Picked011
Done011
Total661278
Error
0.0b
Counts
78 → 12
Compiler

Compiled 946 to 416 computations (56% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (sin.f64 y))
0.5b
(cbrt.f64 (sin.f64 y))
0.6b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
3.4b
(/.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))) z)

rewrite107.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
31×add-exp-log_binary64
24×add-sqr-sqrt_binary64
23×add-cbrt-cube_binary64
22×cbrt-prod_binary64
16×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×prod-exp_binary64 cbrt-unprod_binary64
11×pow1_binary64
div-exp_binary64 cbrt-undiv_binary64 pow1/3_binary64
swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 unswap-sqr_binary64
times-frac_binary64 associate-/r*_binary64
associate-*r/_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64 associate-/l*_binary64 pow2_binary64 pow-plus_binary64 *-commutative_binary64
Counts
4 → 92
Calls

4 calls:

13.0ms
(/.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))) z)
7.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 2148 to 429 computations (80% saved)

series101.0ms (2.4%)

Error
0.0b
Counts
4 → 22
Calls

4 calls:

43.0ms
(/.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))) z)
17.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
15.0ms
(cbrt.f64 (sin.f64 y))
15.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 792 to 563 computations (28.9% saved)

simplify111.0ms (2.7%)

Algorithm
egg-herbie
Rules
689×associate-*l/_binary64
452×associate-/r/_binary64
402×associate-/l/_binary64
288×log-prod_binary64
207×unswap-sqr_binary64
177×associate-*r*_binary64
176×log-div_binary64 associate-*l*_binary64
122×associate-/l*_binary64
105×times-frac_binary64
74×associate-+l+_binary64
72×distribute-rgt-neg-in_binary64 *-commutative_binary64
66×distribute-lft-neg-in_binary64
64×associate-*r/_binary64
62×associate-/r*_binary64
49×sqr-pow_binary64
44×cube-prod_binary64 swap-sqr_binary64
42×unpow3_binary64 associate--l+_binary64
33×sub-neg_binary64 associate-+l-_binary64
29×exp-prod_binary64
28×log-pow_binary64 cancel-sign-sub-inv_binary64
27×associate-+r-_binary64
22×cube-div_binary64 distribute-neg-frac_binary64
19×neg-mul-1_binary64 neg-sub0_binary64 *-rgt-identity_binary64
17×associate--l-_binary64
14×+-commutative_binary64
11×log-rec_binary64 cube-unmult_binary64
10×pow-plus_binary64 associate-+r+_binary64
rem-sqrt-square_binary64 *-lft-identity_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
unpow1/3_binary64
pow-sqr_binary64
distribute-lft-neg-out_binary64
/-rgt-identity_binary64 count-2_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-3cbrt-lft_binary64 unsub-neg_binary64 distribute-rgt-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-square-sqrt_binary64 div-sub_binary64 remove-double-div_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--r+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-mult_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-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 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-rgt1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
114 → 83
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541595
13601294
214231264
346781264
449051264
550211264

prune44.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh099
Picked011
Done022
Total821395
Error
0.0b
Counts
95 → 13
Compiler

Compiled 981 to 372 computations (62.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
3.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)

rewrite79.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
33×add-exp-log_binary64
23×add-cbrt-cube_binary64
13×prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 add-cube-cbrt_binary64 cbrt-undiv_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 cbrt-prod_binary64
pow1_binary64 add-log-exp_binary64
times-frac_binary64 associate-/r*_binary64 pow1/3_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
4 → 65
Calls

4 calls:

13.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1436 to 272 computations (81.1% saved)

series103.0ms (2.5%)

Error
0.0b
Counts
4 → 19
Calls

4 calls:

47.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
18.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 649 to 478 computations (26.3% saved)

simplify92.0ms (2.2%)

Algorithm
egg-herbie
Rules
721×associate-/r*_binary64
614×associate-/l/_binary64
547×associate-/r/_binary64
365×*-commutative_binary64
204×log-div_binary64
181×log-prod_binary64
163×associate-/l*_binary64
141×associate-*l*_binary64
122×times-frac_binary64
118×associate-*r*_binary64
75×unswap-sqr_binary64
72×associate-*l/_binary64
66×associate-*r/_binary64
55×distribute-rgt-neg-in_binary64
49×distribute-neg-frac_binary64 distribute-lft-neg-in_binary64
45×associate-+l+_binary64
37×associate-+l-_binary64
34×sub-neg_binary64 associate--l+_binary64
29×unpow3_binary64 cube-div_binary64 associate-+r+_binary64
25×cancel-sign-sub-inv_binary64
24×associate-+r-_binary64
23×neg-sub0_binary64
22×sqr-pow_binary64
21×associate--l-_binary64
18×cube-prod_binary64 neg-mul-1_binary64
17×swap-sqr_binary64
11×log-pow_binary64
10×cube-unmult_binary64
exp-prod_binary64 +-commutative_binary64
log-rec_binary64 *-rgt-identity_binary64
div-sub_binary64 mul-1-neg_binary64 distribute-frac-neg_binary64
pow-plus_binary64 distribute-lft-neg-out_binary64
distribute-rgt-neg-out_binary64 associate--r+_binary64
rem-sqrt-square_binary64 unsub-neg_binary64 /-rgt-identity_binary64
unpow1/3_binary64 *-lft-identity_binary64 pow-sqr_binary64 distribute-neg-in_binary64 count-2_binary64 associate--r-_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-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 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-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_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-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
84 → 53
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251583
1316843
21340843
34585843
44998843
54956843

prune20.0ms (0.5%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New53053
Fresh099
Picked011
Done033
Total531366
Error
0.0b
Counts
66 → 13
Compiler

Compiled 370 to 108 computations (70.8% saved)

regimes942.0ms (22.6%)

Accuracy

Total 0.8b remaining (97.1%)

Threshold costs 0.8b (97.1%)

Compiler

Compiled 8176 to 5515 computations (32.5% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 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
02367
12967
22867

end1.0ms (0%)

Compiler

Compiled 44 to 21 computations (52.3% saved)

sample1.4s (32.6%)

Algorithm
intervals
Results
285.0ms5429×body128valid
279.0ms1364×body1024valid
130.0ms813×body512valid
40.0ms392×body256valid
33.0ms540×body128invalid
6.0ms42×body512invalid
6.0ms55×body256invalid
4.0ms21×body1024invalid
1.0msbody2048valid
Compiler

Compiled 261 to 185 computations (29.1% saved)

Profiling

Loading profile data...