Details

Time bar (total: 4.8s)

analyze620.0ms (13%)

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 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 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)

sample62.0ms (1.3%)

Algorithm
intervals
Results
14.0ms66×body1024valid
11.0ms52×body1024invalid
7.0ms142×body128valid
5.0ms35×body512invalid
4.0ms30×body512valid
2.0ms18×body256valid
2.0ms28×body128invalid
1.0ms14×body256invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify125.0ms (2.6%)

Algorithm
egg-herbie
Rules
772×unswap-sqr_binary64
448×associate-/l*_binary64
363×times-frac_binary64
280×associate-/r*_binary64
256×*-commutative_binary64
246×div-exp_binary64
238×rem-sqrt-square_binary64
207×sqr-pow_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
102×unpow3_binary64
90×div-sub_binary64
86×distribute-lft-in_binary64
75×*-lft-identity_binary64
73×exp-prod_binary64
65×*-rgt-identity_binary64
47×cube-mult_binary64
38×pow-plus_binary64
35×exp-diff_binary64
32×distribute-rgt-out_binary64
29×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×rec-exp_binary64 /-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 exp-sqrt_binary64
remove-double-div_binary64
exp-lft-sqr_binary64 distribute-neg-in_binary64
associate-+l-_binary64
unsub-neg_binary64
unpow-1_binary64 exp-neg_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 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 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
13461711
14486811
15464811
16495011

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.0b
(sin.f64 y)
0.1b
(/.f64 (sin.f64 y) y)

rewrite75.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l*_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_binary64 cosh-def_binary64 unswap-sqr_binary64
frac-2neg_binary64 clear-num_binary64 pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 68
Calls

3 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(sin.f64 y)
Compiler

Compiled 915 to 229 computations (75% saved)

series88.0ms (1.8%)

Error
0.1b
Counts
3 → 24
Calls

3 calls:

49.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
9.0ms
(/.f64 (sin.f64 y) y)
7.0ms
(sin.f64 y)
Compiler

Compiled 930 to 660 computations (29% saved)

simplify121.0ms (2.5%)

Algorithm
egg-herbie
Rules
517×associate-*l*_binary64
404×associate-*l/_binary64
363×associate-*r/_binary64
339×associate-/l*_binary64
310×cancel-sign-sub-inv_binary64
240×times-frac_binary64
184×unswap-sqr_binary64
145×associate-/r*_binary64
123×associate-/l/_binary64
108×sub-neg_binary64
105×associate-*r*_binary64
92×*-commutative_binary64
91×log-div_binary64
83×*-rgt-identity_binary64 associate-/r/_binary64
74×neg-mul-1_binary64 neg-sub0_binary64
70×*-lft-identity_binary64
68×log-prod_binary64
66×distribute-rgt-neg-in_binary64
64×sqr-pow_binary64
61×exp-prod_binary64
59×distribute-lft-neg-in_binary64
58×+-commutative_binary64
57×distribute-rgt-in_binary64
46×cube-div_binary64 distribute-lft-in_binary64
42×distribute-rgt-out_binary64
38×unpow3_binary64
36×unsub-neg_binary64
34×associate--l+_binary64 associate-+l+_binary64
32×cube-prod_binary64
28×/-rgt-identity_binary64 distribute-neg-in_binary64 associate-+r+_binary64
25×associate--r+_binary64
20×distribute-lft-out_binary64
13×cube-unmult_binary64
11×log-rec_binary64 pow-plus_binary64
exp-sum_binary64
pow-sqr_binary64 swap-sqr_binary64
exp-sqrt_binary64
cube-mult_binary64 distribute-lft-neg-out_binary64
remove-double-div_binary64
unpow1/2_binary64
log-pow_binary64 distribute-neg-frac_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64
cosh-def_binary64 rec-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 div-sub_binary64 distribute-rgt1-in_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 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 prod-exp_binary64 exp-diff_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 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-rgt-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
92 → 55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921540
14621404
214571396
344031396
448661396
549371396

prune48.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh000
Picked011
Done000
Total47956
Error
0.0b
Counts
56 → 9
Compiler

Compiled 834 to 321 computations (61.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sin.f64 y)
0.0b
(*.f64 (sin.f64 y) (cosh.f64 x))
0.3b
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))

rewrite80.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-exp-log_binary64
17×add-cbrt-cube_binary64
16×associate-*r*_binary64
14×add-sqr-sqrt_binary64
13×prod-exp_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×pow1_binary64
times-frac_binary64
cbrt-unprod_binary64
pow-prod-down_binary64 div-exp_binary64 associate-*r/_binary64 associate-*l*_binary64
add-log-exp_binary64 cosh-def_binary64
1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 *-commutative_binary64
frac-times_binary64 un-div-inv_binary64 associate-*l/_binary64 div-inv_binary64 unswap-sqr_binary64
Counts
3 → 66
Calls

3 calls:

11.0ms
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
4.0ms
(*.f64 (sin.f64 y) (cosh.f64 x))
1.0ms
(sin.f64 y)
Compiler

Compiled 967 to 401 computations (58.5% saved)

series126.0ms (2.6%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

49.0ms
(*.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
36.0ms
(*.f64 (sin.f64 y) (cosh.f64 x))
9.0ms
(sin.f64 y)
Compiler

Compiled 1501 to 1042 computations (30.6% saved)

simplify99.0ms (2.1%)

Algorithm
egg-herbie
Rules
547×cancel-sign-sub-inv_binary64
423×associate-/l*_binary64
392×times-frac_binary64
249×associate-*l*_binary64
226×associate-*r*_binary64
168×unswap-sqr_binary64
156×*-commutative_binary64
141×sub-neg_binary64
124×associate-/r*_binary64
104×distribute-rgt-out_binary64
96×neg-mul-1_binary64
95×neg-sub0_binary64
93×distribute-rgt-neg-in_binary64
89×sqr-pow_binary64
88×+-commutative_binary64
84×distribute-lft-neg-in_binary64
75×associate-/l/_binary64
73×associate-*r/_binary64
72×associate-/r/_binary64
69×associate-+l+_binary64
63×unsub-neg_binary64
62×associate-+r+_binary64
56×distribute-rgt-in_binary64
55×log-prod_binary64
54×distribute-lft-out_binary64
51×associate--l+_binary64
50×*-rgt-identity_binary64
49×distribute-neg-in_binary64
48×exp-prod_binary64 cube-prod_binary64 associate-*l/_binary64
47×distribute-lft-in_binary64
44×*-lft-identity_binary64
43×log-div_binary64
40×cube-div_binary64
39×associate--r+_binary64
27×/-rgt-identity_binary64
20×swap-sqr_binary64
13×unpow3_binary64 pow-sqr_binary64
11×cube-unmult_binary64
10×cube-mult_binary64
distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
log-rec_binary64
distribute-lft-out--_binary64
exp-sum_binary64
unpow1/2_binary64 +-rgt-identity_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64
pow-plus_binary64 exp-sqrt_binary64 distribute-neg-frac_binary64
log-pow_binary64 unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 associate-+l-_binary64
cosh-def_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 div-sub_binary64 sub0-neg_binary64 +-lft-identity_binary64 count-2_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 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_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 remove-double-neg_binary64 --rgt-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-rgt-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64
Counts
96 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02341863
15961607
220211590
342911590
449681590

prune49.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New61364
Fresh437
Picked011
Done011
Total65873
Error
0.0b
Counts
73 → 8
Compiler

Compiled 843 to 383 computations (54.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))

rewrite38.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1220 to 211 computations (82.7% saved)

series94.0ms (2%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

22.0ms
(cbrt.f64 (sin.f64 y))
20.0ms
(cbrt.f64 (sin.f64 y))
20.0ms
(cbrt.f64 (sin.f64 y))
17.0ms
(cbrt.f64 y)
Compiler

Compiled 1407 to 786 computations (44.1% saved)

simplify87.0ms (1.8%)

Algorithm
egg-herbie
Rules
560×log-prod_binary64
549×cancel-sign-sub-inv_binary64
461×distribute-rgt-in_binary64
443×distribute-lft-in_binary64
416×unswap-sqr_binary64
388×associate-*l*_binary64
306×distribute-rgt-neg-in_binary64
274×associate-*r*_binary64
267×distribute-lft-neg-in_binary64
128×sub-neg_binary64
90×*-commutative_binary64
86×sqr-pow_binary64
57×neg-mul-1_binary64
55×neg-sub0_binary64
48×associate-+l-_binary64
46×distribute-rgt-out_binary64
45×distribute-neg-in_binary64
41×distribute-lft-neg-out_binary64
38×log-pow_binary64
35×distribute-rgt-neg-out_binary64
32×exp-prod_binary64
28×distribute-lft-out_binary64 associate-+l+_binary64
26×sub0-neg_binary64
22×cube-unmult_binary64
21×associate--r+_binary64
20×cube-prod_binary64 associate-+r+_binary64 +-commutative_binary64
19×associate--l+_binary64
18×associate-+r-_binary64
15×pow-plus_binary64
13×unsub-neg_binary64 remove-double-neg_binary64
12×pow-sqr_binary64
10×+-rgt-identity_binary64
rem-sqrt-square_binary64
unpow1/3_binary64 distribute-rgt1-in_binary64 count-2_binary64 associate--l-_binary64
*-lft-identity_binary64 associate--r-_binary64
--rgt-identity_binary64
unpow3_binary64 exp-sum_binary64 rem-3cbrt-lft_binary64 distribute-neg-out_binary64 associate-/l*_binary64
1-exp_binary64 mul-1-neg_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 unpow1/2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
65 → 29
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056640
1114618
2260618
3636618
41825618
54893618
65439618

prune22.0ms (0.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New29029
Fresh055
Picked011
Done022
Total29837
Error
0.0b
Counts
37 → 8
Compiler

Compiled 622 to 246 computations (60.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))

rewrite57.0ms (1.2%)

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:

8.0ms
(*.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))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1476 to 302 computations (79.5% saved)

series99.0ms (2.1%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

23.0ms
(*.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)

simplify143.0ms (3%)

Algorithm
egg-herbie
Rules
590×log-prod_binary64
426×cancel-sign-sub-inv_binary64
384×*-commutative_binary64
317×associate-*l*_binary64
258×sqr-pow_binary64
221×associate-*r*_binary64
216×distribute-rgt-neg-in_binary64
210×sub-neg_binary64
190×exp-prod_binary64
180×cube-prod_binary64
167×distribute-lft-neg-in_binary64
145×log-pow_binary64
138×associate-+l+_binary64
118×associate-+r+_binary64
114×unswap-sqr_binary64
104×associate-/l*_binary64
101×distribute-neg-in_binary64
89×associate-+l-_binary64
87×neg-mul-1_binary64
81×neg-sub0_binary64
79×swap-sqr_binary64
76×distribute-rgt-in_binary64
60×pow-plus_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64
48×distribute-rgt-out_binary64
47×pow-sqr_binary64
44×unpow3_binary64
43×sub0-neg_binary64
42×associate--l+_binary64 +-commutative_binary64
39×cube-mult_binary64
38×associate-+r-_binary64
37×associate-/r/_binary64
35×*-lft-identity_binary64
31×cube-unmult_binary64 *-rgt-identity_binary64 distribute-lft-neg-out_binary64 associate-/l/_binary64 associate--r+_binary64
29×count-2_binary64
21×rem-sqrt-square_binary64
20×unsub-neg_binary64 +-rgt-identity_binary64
17×remove-double-neg_binary64
14×distribute-rgt-neg-out_binary64 associate-/r*_binary64
13×distribute-rgt1-in_binary64
12×associate--l-_binary64
10×unpow1/3_binary64 unpow1/2_binary64
unpow2_binary64 distribute-lft1-in_binary64
times-frac_binary64
log-div_binary64 cube-div_binary64 associate-*r/_binary64
unpow1_binary64 --rgt-identity_binary64 associate--r-_binary64
distribute-neg-out_binary64
rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64
exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_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 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 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 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0941250
12131172
25441150
315421132
428641020
543081020
649661020
748671020

prune29.0ms (0.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New62264
Fresh134
Picked011
Done033
Total63972
Error
0.0b
Counts
72 → 9
Compiler

Compiled 834 to 332 computations (60.2% saved)

regimes449.0ms (9.4%)

Accuracy

Total 0.1b remaining (66.4%)

Threshold costs 0.1b (66.4%)

Compiler

Compiled 5263 to 3525 computations (33% 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
0711
1811
2811

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample2.2s (46.3%)

Algorithm
intervals
Results
453.0ms1946×body1024valid
409.0ms1971×body1024invalid
254.0ms4537×body128valid
160.0ms1050×body512invalid
154.0ms1009×body512valid
50.0ms501×body256valid
48.0ms474×body256invalid
47.0ms722×body128invalid
3.0msbody2048valid
Compiler

Compiled 155 to 121 computations (21.9% saved)

Profiling

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