Details

Time bar (total: 4.6s)

analyze423.0ms (9.1%)

Algorithm
search
egg-herbie
Rules
728×unswap-sqr_binary64
408×associate-/r/_binary64
384×associate-*l/_binary64
358×associate-/l/_binary64
280×*-commutative_binary64
218×associate-*l*_binary64
210×div-sub_binary64
206×associate-*r*_binary64
204×associate-/l*_binary64
174×rem-sqrt-square_binary64 distribute-rgt-in_binary64
130×distribute-lft-in_binary64
100×sqr-pow_binary64
96×sub-neg_binary64
90×prod-exp_binary64 times-frac_binary64
88×associate-/r*_binary64
82×associate-*r/_binary64
70×*-lft-identity_binary64
68×exp-prod_binary64
54×distribute-rgt-out_binary64
50×pow-sqr_binary64
48×*-rgt-identity_binary64
44×div0_binary64
34×mul0-rgt_binary64 mul0-lft_binary64 associate--l-_binary64
30×cube-prod_binary64
26×distribute-neg-frac_binary64 +-commutative_binary64
24×pow-plus_binary64 exp-sum_binary64 cube-unmult_binary64
20×exp-diff_binary64
18×exp-sqrt_binary64
16×/-rgt-identity_binary64 distribute-rgt-neg-in_binary64
14×unpow3_binary64 exp-lft-sqr_binary64 distribute-lft-neg-in_binary64
12×rec-exp_binary64 +-rgt-identity_binary64
10×neg-mul-1_binary64 neg-sub0_binary64
unpow1_binary64
unpow2_binary64 fabs-mul_binary64 cancel-sign-sub-inv_binary64 distribute-neg-in_binary64
unpow1/2_binary64 unpow-1_binary64
cosh-def_binary64 exp-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64
1-exp_binary64 exp-1-e_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 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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 unsub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-lft-identity_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 swap-sqr_binary64 cancel-sign-sub_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 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
25722
311122
419622
530122
658422
7152922
8279922
9355922
10470722
11485522
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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample66.0ms (1.4%)

Algorithm
intervals
Results
15.0ms70×body1024valid
11.0ms60×body1024invalid
8.0ms32×body512valid
7.0ms133×body128valid
5.0ms37×body512invalid
2.0ms21×body256valid
2.0ms20×body256invalid
1.0ms17×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify92.0ms (2%)

Algorithm
egg-herbie
Rules
772×unswap-sqr_binary64
448×associate-/l*_binary64
363×times-frac_binary64
280×associate-/r*_binary64
256×*-commutative_binary64
240×fabs-mul_binary64
207×sqr-pow_binary64
161×rem-sqrt-square_binary64
159×associate-*l/_binary64
139×pow-sqr_binary64
130×cube-prod_binary64 associate-*r/_binary64
123×associate-/l/_binary64
122×associate-/r/_binary64
115×distribute-rgt-in_binary64
109×associate-*l*_binary64
103×associate-*r*_binary64
86×distribute-lft-in_binary64
75×*-lft-identity_binary64
66×exp-prod_binary64
65×*-rgt-identity_binary64
57×unpow3_binary64 div-sub_binary64
47×cube-mult_binary64
35×exp-diff_binary64
32×distribute-rgt-out_binary64
29×pow-plus_binary64 distribute-rgt-neg-in_binary64
27×prod-exp_binary64
25×exp-sum_binary64
22×distribute-lft-neg-in_binary64
20×sub-neg_binary64
19×cancel-sign-sub-inv_binary64
18×cube-unmult_binary64 neg-mul-1_binary64 +-commutative_binary64
17×distribute-neg-frac_binary64
16×/-rgt-identity_binary64 distribute-frac-neg_binary64 distribute-lft-neg-out_binary64
14×distribute-rgt-neg-out_binary64
11×neg-sub0_binary64
10×unpow2_binary64 unpow1/2_binary64
unpow1_binary64 remove-double-div_binary64
exp-lft-sqr_binary64 exp-sqrt_binary64 distribute-neg-in_binary64
associate-+l-_binary64
rec-exp_binary64
unsub-neg_binary64
exp-neg_binary64 fabs-div_binary64 remove-double-neg_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 associate--l-_binary64 associate--r+_binary64
cube-div_binary64 +-rgt-identity_binary64 distribute-rgt1-in_binary64
cosh-def_binary64 unpow-1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 sub0-neg_binary64 --rgt-identity_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 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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-cbrt_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-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23211
36011
410311
515711
630311
775611
8198211
9202011
10229711
11382111
12400511
13461811
14498411

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(sin.f64 y)
0.2b
(/.f64 (sin.f64 y) y)

rewrite52.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 cosh-def_binary64
Counts
3 → 42
Calls

3 calls:

4.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(sin.f64 y)
1.0ms
(cosh.f64 x)
Compiler

Compiled 524 to 167 computations (68.1% saved)

series42.0ms (0.9%)

Error
0.2b
Counts
3 → 18
Calls

3 calls:

13.0ms
(cosh.f64 x)
9.0ms
(/.f64 (sin.f64 y) y)
7.0ms
(sin.f64 y)
Compiler

Compiled 488 to 382 computations (21.7% saved)

simplify111.0ms (2.4%)

Algorithm
egg-herbie
Rules
435×distribute-rgt-neg-in_binary64
433×cancel-sign-sub-inv_binary64
432×unswap-sqr_binary64
318×distribute-lft-neg-in_binary64
277×*-commutative_binary64
257×times-frac_binary64 sub-neg_binary64
227×neg-mul-1_binary64
209×associate-/l/_binary64
201×neg-sub0_binary64
198×associate-/l*_binary64
150×distribute-neg-in_binary64
139×associate-/r*_binary64
102×associate-*r*_binary64
100×div-sub_binary64
96×associate-*l*_binary64
89×associate-+l+_binary64
82×associate-+l-_binary64
81×sqr-pow_binary64
77×associate-/r/_binary64
76×associate-*l/_binary64
72×+-commutative_binary64
68×cube-prod_binary64
58×associate-+r+_binary64
56×associate-*r/_binary64
55×unpow3_binary64
50×distribute-lft-neg-out_binary64
49×associate--l+_binary64
43×distribute-rgt-out_binary64
38×cube-unmult_binary64 distribute-rgt-out--_binary64
36×distribute-lft-out_binary64 distribute-rgt-in_binary64
35×pow-plus_binary64 exp-prod_binary64 sub0-neg_binary64
33×distribute-lft-out--_binary64
32×distribute-lft-in_binary64 associate-+r-_binary64
31×log-prod_binary64
30×unsub-neg_binary64
26×associate--r+_binary64
22×distribute-rgt-neg-out_binary64
21×+-rgt-identity_binary64
19×associate--l-_binary64
18×*-lft-identity_binary64
17×remove-double-neg_binary64
14×pow-sqr_binary64
13×swap-sqr_binary64
11×log-div_binary64
cube-div_binary64 *-rgt-identity_binary64
fabs-mul_binary64 --rgt-identity_binary64 cancel-sign-sub_binary64
exp-sum_binary64 associate--r-_binary64
log-pow_binary64 exp-diff_binary64 cube-mult_binary64 /-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
distribute-neg-out_binary64
unpow2_binary64 fabs-sqr_binary64 rem-sqrt-square_binary64
sin-neg_binary64 unpow1/2_binary64 unpow1_binary64 cube-neg_binary64 count-2_binary64
cosh-def_binary64 exp-sqrt_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 sqr-neg_binary64 distribute-neg-frac_binary64 distribute-rgt1-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 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 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 div-exp_binary64 rec-exp_binary64 prod-exp_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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64
Counts
60 → 18
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115679
1239639
2534639
31305639
43044639
54466639
64965639
74900639

prune18.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519
Error
0.1b
Counts
19 → 5
Compiler

Compiled 288 to 167 computations (42% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite61.0ms (1.3%)

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:

7.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1476 to 302 computations (79.5% saved)

series99.0ms (2.1%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

22.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
21.0ms
(cbrt.f64 (sin.f64 y))
19.0ms
(cbrt.f64 (sin.f64 y))
19.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1210 to 808 computations (33.2% saved)

simplify156.0ms (3.4%)

Algorithm
egg-herbie
Rules
777×log-prod_binary64
495×unswap-sqr_binary64
426×cancel-sign-sub-inv_binary64
323×*-commutative_binary64
285×associate-*l*_binary64
230×distribute-rgt-neg-in_binary64
229×exp-prod_binary64
220×sqr-pow_binary64
210×sub-neg_binary64
205×associate-*r*_binary64
198×cube-prod_binary64
181×distribute-lft-neg-in_binary64
177×neg-mul-1_binary64
166×log-pow_binary64
165×fabs-mul_binary64
141×neg-sub0_binary64
118×associate-+l+_binary64
103×unpow3_binary64
101×distribute-neg-in_binary64
99×associate-+r+_binary64
95×swap-sqr_binary64
89×associate-+l-_binary64
68×pow-plus_binary64
63×distribute-rgt-in_binary64
57×rem-sqrt-square_binary64
52×log-div_binary64
49×cube-unmult_binary64
48×distribute-lft-in_binary64
43×sub0-neg_binary64
42×associate--l+_binary64 +-commutative_binary64
41×pow-sqr_binary64 associate-/r/_binary64
38×associate-+r-_binary64
36×distribute-rgt-out_binary64
32×associate-/l/_binary64
31×distribute-lft-neg-out_binary64 associate--r+_binary64
29×cube-mult_binary64 distribute-lft-out_binary64
28×times-frac_binary64
24×fabs-sqr_binary64 *-lft-identity_binary64
20×unsub-neg_binary64 *-rgt-identity_binary64 +-rgt-identity_binary64
19×count-2_binary64 associate-/l*_binary64
17×remove-double-neg_binary64
14×distribute-rgt-neg-out_binary64 associate-/r*_binary64
12×associate--l-_binary64
11×distribute-rgt1-in_binary64
10×unpow1/3_binary64
unpow1/2_binary64
unpow2_binary64
exp-sqrt_binary64 distribute-lft1-in_binary64
unpow1_binary64 cube-div_binary64 fabs-div_binary64 --rgt-identity_binary64 associate-*r/_binary64 associate--r-_binary64
rem-cbrt-cube_binary64
distribute-neg-out_binary64
exp-lft-sqr_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64
log-rec_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 rem-square-sqrt_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-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 mul-1-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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-*l/_binary64
Counts
97 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0941158
12131088
25451066
312691048
42786888
53896888
64504888
74996888
84873888

prune34.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh033
Picked101
Done011
Total691079
Error
0.0b
Counts
79 → 10
Compiler

Compiled 1001 to 445 computations (55.5% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
0.7b
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)

rewrite66.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×cbrt-prod_binary64
11×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 → 58
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)
2.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1703 to 456 computations (73.2% saved)

series120.0ms (2.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

28.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)
24.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
24.0ms
(cbrt.f64 (sin.f64 y))
23.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
Compiler

Compiled 1587 to 996 computations (37.2% saved)

simplify133.0ms (2.9%)

Algorithm
egg-herbie
Rules
488×cancel-sign-sub-inv_binary64
436×log-prod_binary64
347×associate-*l*_binary64
345×associate-*r*_binary64
332×cube-prod_binary64
297×swap-sqr_binary64
220×sqr-pow_binary64
216×neg-mul-1_binary64
189×unpow3_binary64
183×sub-neg_binary64
154×distribute-rgt-neg-in_binary64
144×distribute-lft-neg-in_binary64
136×exp-prod_binary64 fabs-mul_binary64
100×distribute-rgt-in_binary64
99×pow-plus_binary64
87×*-commutative_binary64
83×log-pow_binary64
75×unswap-sqr_binary64
59×cube-unmult_binary64
57×neg-sub0_binary64
45×unsub-neg_binary64
42×cube-mult_binary64 associate--r+_binary64
41×+-commutative_binary64
35×associate-+l+_binary64
34×distribute-neg-in_binary64
31×pow-sqr_binary64
30×associate-+l-_binary64
27×associate--l+_binary64
25×associate-+r-_binary64
24×rem-sqrt-square_binary64
19×sub0-neg_binary64
18×associate-+r+_binary64
16×+-rgt-identity_binary64
14×fabs-sqr_binary64
13×unpow2_binary64
12×unpow1/2_binary64 unpow1_binary64
10×associate--l-_binary64
distribute-rgt-out_binary64 distribute-lft-in_binary64
rem-3cbrt-rft_binary64
distribute-lft-neg-out_binary64
unpow1/3_binary64 distribute-neg-out_binary64
rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 distribute-lft-out_binary64
fabs-fabs_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
1-exp_binary64 *-rgt-identity_binary64 associate-/r/_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 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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64
Counts
82 → 48
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01571203
13691139
28541129
325991119
440501057
546281057
648151057

prune32.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh088
Picked011
Done011
Total481058
Error
0.0b
Counts
58 → 10
Compiler

Compiled 1069 to 484 computations (54.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
0.7b
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0b
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)

rewrite54.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×cbrt-prod_binary64
13×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 → 63
Calls

4 calls:

6.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)
2.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1602 to 477 computations (70.2% saved)

series112.0ms (2.4%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

33.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)
22.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
20.0ms
(cbrt.f64 (sin.f64 y))
20.0ms
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
Compiler

Compiled 1405 to 936 computations (33.4% saved)

simplify120.0ms (2.6%)

Algorithm
egg-herbie
Rules
584×log-prod_binary64
465×*-commutative_binary64
459×unswap-sqr_binary64
360×sqr-pow_binary64
358×sub-neg_binary64
338×cancel-sign-sub-inv_binary64
195×associate-*l*_binary64
193×associate-*r*_binary64
151×fabs-mul_binary64
144×associate-+l-_binary64
134×exp-prod_binary64
125×neg-mul-1_binary64
116×neg-sub0_binary64
112×distribute-rgt-neg-in_binary64
105×distribute-lft-neg-in_binary64
104×associate-+l+_binary64
103×cube-prod_binary64
92×associate-+r+_binary64
87×cube-unmult_binary64
77×log-pow_binary64
73×sub0-neg_binary64
67×associate--l+_binary64
66×distribute-rgt-in_binary64
64×pow-sqr_binary64
63×pow-plus_binary64
59×associate-+r-_binary64
49×associate--r+_binary64
40×distribute-lft-in_binary64
36×unsub-neg_binary64 +-rgt-identity_binary64
30×swap-sqr_binary64
29×+-commutative_binary64
26×remove-double-neg_binary64
24×distribute-neg-in_binary64
23×associate-/l*_binary64
21×fabs-sqr_binary64
19×associate--l-_binary64
16×rem-sqrt-square_binary64
14×*-lft-identity_binary64
11×unpow3_binary64 cube-mult_binary64 associate-/l/_binary64
10×associate--r-_binary64
--rgt-identity_binary64 count-2_binary64
distribute-rgt-out_binary64
*-rgt-identity_binary64 associate-*r/_binary64
unpow1/3_binary64
times-frac_binary64 distribute-lft-neg-out_binary64 distribute-lft-out_binary64
rem-cbrt-cube_binary64 fabs-fabs_binary64 distribute-neg-out_binary64 associate-*l/_binary64
rem-3cbrt-lft_binary64 sqr-abs_binary64 /-rgt-identity_binary64 associate-/r/_binary64
unpow1/2_binary64 unpow1_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 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 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_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-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
Counts
87 → 41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01291281
13041224
26881224
317861208
435531170
546941170
648501170

prune16.0ms (0.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh077
Picked011
Done022
Total411051
Error
0.0b
Counts
51 → 10
Compiler

Compiled 564 to 262 computations (53.5% saved)

regimes613.0ms (13.2%)

Accuracy

Total 0.1b remaining (59.2%)

Threshold costs 0.1b (59.2%)

Compiler

Compiled 10100 to 5994 computations (40.7% 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 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample2.2s (46.5%)

Algorithm
intervals
Results
461.0ms2024×body1024valid
392.0ms1913×body1024invalid
229.0ms4430×body128valid
159.0ms1062×body512invalid
153.0ms1013×body512valid
53.0ms526×body256valid
51.0ms501×body256invalid
39.0ms686×body128invalid
4.0msbody2048valid
Compiler

Compiled 170 to 126 computations (25.9% saved)

Profiling

Loading profile data...