Details

Time bar (total: 3.3s)

analyze101.0ms (3.1%)

Algorithm
search
egg-herbie
Rules
464×times-frac_binary64
407×neg-mul-1_binary64
388×neg-sub0_binary64 associate-/r/_binary64
311×associate-/l/_binary64
286×unswap-sqr_binary64
260×associate-*l*_binary64
251×associate-*r*_binary64
234×distribute-frac-neg_binary64
207×*-commutative_binary64
200×cancel-sign-sub-inv_binary64
183×div-sub_binary64
176×sub-neg_binary64
155×associate-*l/_binary64
151×associate-/r*_binary64
146×distribute-rgt-neg-out_binary64
142×distribute-rgt-in_binary64
141×unsub-neg_binary64
126×associate-/l*_binary64
124×distribute-neg-frac_binary64
95×distribute-rgt-neg-in_binary64
85×distribute-lft-in_binary64
77×distribute-lft-neg-out_binary64
66×distribute-lft-neg-in_binary64
64×associate-*r/_binary64
46×/-rgt-identity_binary64
45×sqr-pow_binary64
43×*-rgt-identity_binary64 div0_binary64
36×*-lft-identity_binary64
32×exp-prod_binary64 mul0-lft_binary64
31×mul0-rgt_binary64 swap-sqr_binary64 distribute-neg-in_binary64
29×remove-double-neg_binary64 +-lft-identity_binary64
28×exp-neg_binary64
25×exp-diff_binary64 exp-sum_binary64 cube-prod_binary64
22×cancel-sign-sub_binary64
21×sqr-neg_binary64
20×pow-sqr_binary64
19×pow-plus_binary64
18×associate-+l-_binary64
17×+-commutative_binary64
16×distribute-neg-out_binary64
15×sub0-neg_binary64 associate--r+_binary64
12×mul-1-neg_binary64
10×associate-+l+_binary64
cube-unmult_binary64
exp-sqrt_binary64 associate--r-_binary64
associate--l-_binary64 associate-+r-_binary64
associate-+r+_binary64
unpow3_binary64 exp-lft-sqr_binary64
prod-exp_binary64 --rgt-identity_binary64 remove-double-div_binary64 associate--l+_binary64
unpow2_binary64 cube-neg_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
unpow1_binary64 div-exp_binary64 cube-mult_binary64 +-rgt-identity_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-square-sqrt_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 count-2_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 rec-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 sqr-abs_binary64 +-inverses_binary64 lft-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12022
23422
35722
411622
526322
656122
7141922
8333422
9440522
10479722
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample62.0ms (1.9%)

Algorithm
intervals
Results
31.0ms111×body1024valid
14.0ms69×body512valid
4.0ms15×body2048valid
3.0ms36×body256valid
1.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify77.0ms (2.4%)

Algorithm
egg-herbie
Rules
464×times-frac_binary64
407×neg-mul-1_binary64
388×neg-sub0_binary64 associate-/r/_binary64
311×associate-/l/_binary64
286×unswap-sqr_binary64
260×associate-*l*_binary64
251×associate-*r*_binary64
234×distribute-frac-neg_binary64
207×*-commutative_binary64
200×cancel-sign-sub-inv_binary64
183×div-sub_binary64
176×sub-neg_binary64
155×associate-*l/_binary64
151×associate-/r*_binary64
146×distribute-rgt-neg-out_binary64
142×distribute-rgt-in_binary64
141×unsub-neg_binary64
126×associate-/l*_binary64
124×distribute-neg-frac_binary64
95×distribute-rgt-neg-in_binary64
85×distribute-lft-in_binary64
77×distribute-lft-neg-out_binary64
66×distribute-lft-neg-in_binary64
64×associate-*r/_binary64
46×/-rgt-identity_binary64
45×sqr-pow_binary64
43×*-rgt-identity_binary64 div0_binary64
36×*-lft-identity_binary64
32×exp-prod_binary64 mul0-lft_binary64
31×mul0-rgt_binary64 swap-sqr_binary64 distribute-neg-in_binary64
29×remove-double-neg_binary64 +-lft-identity_binary64
28×exp-neg_binary64
25×exp-diff_binary64 exp-sum_binary64 cube-prod_binary64
22×cancel-sign-sub_binary64
21×sqr-neg_binary64
20×pow-sqr_binary64
19×pow-plus_binary64
18×associate-+l-_binary64
17×+-commutative_binary64
16×distribute-neg-out_binary64
15×sub0-neg_binary64 associate--r+_binary64
12×mul-1-neg_binary64
10×associate-+l+_binary64
cube-unmult_binary64
exp-sqrt_binary64 associate--r-_binary64
associate--l-_binary64 associate-+r-_binary64
associate-+r+_binary64
unpow3_binary64 exp-lft-sqr_binary64
prod-exp_binary64 --rgt-identity_binary64 remove-double-div_binary64 associate--l+_binary64
unpow2_binary64 cube-neg_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
unpow1_binary64 div-exp_binary64 cube-mult_binary64 +-rgt-identity_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-square-sqrt_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 count-2_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 rec-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 sqr-abs_binary64 +-inverses_binary64 lft-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12022
23422
35722
411622
526322
656122
7141922
8333422
9440522
10479722

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
57.4b
Counts
1 → 1
Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.5b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite56.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
44×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64 times-frac_binary64
16×add-cube-cbrt_binary64
sinh-undef_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 cosh-undef_binary64 distribute-lft-out_binary64
associate-/l*_binary64
associate-/r*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cancel-sign-sub-inv_binary64
pow1_binary64 flip3--_binary64 flip--_binary64 associate-/l/_binary64 associate-/r/_binary64
diff-log_binary64 sub-neg_binary64 tanh-undef_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
2 → 76
Calls

2 calls:

11.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1464 to 231 computations (84.2% saved)

series41.0ms (1.3%)

Error
0.4b
Counts
2 → 12
Calls

2 calls:

16.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 384 to 259 computations (32.6% saved)

simplify166.0ms (5.1%)

Algorithm
egg-herbie
Rules
332×cancel-sign-sub-inv_binary64
251×exp-prod_binary64
219×unswap-sqr_binary64
218×div-sub_binary64
172×associate-*l*_binary64
162×associate-*r*_binary64
157×log-prod_binary64
129×sub-neg_binary64
127×distribute-rgt-in_binary64
123×distribute-rgt-neg-in_binary64
120×distribute-lft-neg-in_binary64
110×distribute-lft-in_binary64
105×*-commutative_binary64
104×distribute-lft-neg-out_binary64
99×distribute-neg-frac_binary64 distribute-rgt-neg-out_binary64
95×distribute-rgt-out_binary64
89×associate-/l*_binary64 associate-*l/_binary64
82×associate-/l/_binary64
71×+-commutative_binary64
63×associate-/r*_binary64
61×cube-prod_binary64 associate-*r/_binary64
60×associate-+l+_binary64
59×neg-sub0_binary64
55×neg-mul-1_binary64 unsub-neg_binary64
53×sqr-pow_binary64
49×associate-+r+_binary64
48×difference-of-squares_binary64
44×exp-sum_binary64
43×unpow3_binary64
40×associate-/r/_binary64
36×prod-exp_binary64 swap-sqr_binary64
35×times-frac_binary64
34×exp-diff_binary64
32×distribute-frac-neg_binary64 associate-+r-_binary64
30×log-pow_binary64
28×*-rgt-identity_binary64
26×distribute-rgt-out--_binary64
25×associate-+l-_binary64
19×log-div_binary64
18×*-lft-identity_binary64 distribute-neg-in_binary64
16×associate--l+_binary64 associate--r+_binary64
15×cube-div_binary64
14×div-exp_binary64
13×sub0-neg_binary64 +-rgt-identity_binary64
12×cube-unmult_binary64
10×mul0-lft_binary64 distribute-rgt1-in_binary64
mul0-rgt_binary64
rem-sqrt-square_binary64 pow-sqr_binary64
pow-plus_binary64 /-rgt-identity_binary64
remove-double-neg_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
rec-exp_binary64 exp-neg_binary64 distribute-lft-out_binary64
cube-mult_binary64 mul-1-neg_binary64 distribute-neg-out_binary64
log-rec_binary64 count-2_binary64
cosh-def_binary64 sinh-def_binary64 unpow1_binary64 1-exp_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 *-inverses_binary64 lft-mult-inverse_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 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 unpow2_binary64 unpow1/2_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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 +-inverses_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-lft-out--_binary64
Counts
88 → 43
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01482388
13462245
28262236
323412236
443642236
549922236
649072236

prune26.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done000
Total41344
Error
0.2b
Counts
44 → 3
Compiler

Compiled 547 to 209 computations (61.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(sinh.f64 x)
0.5b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 associate-/r*_binary64
pow1_binary64 add-log-exp_binary64 sinh-def_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64 cosh-def_binary64 associate-/r/_binary64
Counts
2 → 37
Calls

2 calls:

3.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)
Compiler

Compiled 419 to 117 computations (72.1% saved)

series44.0ms (1.3%)

Error
0.2b
Counts
2 → 12
Calls

2 calls:

24.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
11.0ms
(sinh.f64 x)
Compiler

Compiled 337 to 241 computations (28.5% saved)

simplify90.0ms (2.7%)

Algorithm
egg-herbie
Rules
687×associate-/l/_binary64
536×times-frac_binary64
430×associate-/l*_binary64
354×associate-/r/_binary64
248×cancel-sign-sub-inv_binary64
237×associate-/r*_binary64
182×div-sub_binary64
171×sub-neg_binary64
101×distribute-neg-frac_binary64
99×exp-prod_binary64
92×neg-mul-1_binary64
90×distribute-rgt-in_binary64
89×*-commutative_binary64
85×distribute-lft-in_binary64
82×neg-sub0_binary64
79×exp-sum_binary64
72×associate-*l/_binary64
59×log-div_binary64 sqr-pow_binary64
54×associate-*l*_binary64 associate-*r*_binary64
53×cube-div_binary64
50×distribute-rgt-neg-in_binary64
44×unswap-sqr_binary64 associate-*r/_binary64
42×distribute-lft-neg-in_binary64
39×+-commutative_binary64
37×unsub-neg_binary64
35×exp-diff_binary64
33×*-lft-identity_binary64
31×log-prod_binary64 /-rgt-identity_binary64
29×associate-+l+_binary64
23×unpow3_binary64
22×swap-sqr_binary64
20×*-rgt-identity_binary64
19×associate-+r+_binary64
18×cube-prod_binary64
17×exp-sqrt_binary64 cube-mult_binary64 remove-double-neg_binary64 div0_binary64
13×associate-+l-_binary64
12×cube-unmult_binary64 associate-+r-_binary64
11×prod-exp_binary64 distribute-neg-in_binary64
10×associate--l+_binary64
sub0-neg_binary64
log-rec_binary64
+-rgt-identity_binary64 distribute-lft-neg-out_binary64
exp-lft-sqr_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate--r+_binary64
pow-sqr_binary64 distribute-rgt-neg-out_binary64
pow-plus_binary64 remove-double-div_binary64 associate--l-_binary64
rec-exp_binary64 associate--r-_binary64
distribute-rgt1-in_binary64
cosh-def_binary64 sinh-def_binary64 unpow1/2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rgt-mult-inverse_binary64 count-2_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 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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-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-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
49 → 19
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
098714
1194673
2494673
31285627
44051615
54735615
64874615

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19019
Fresh022
Picked011
Done000
Total19322
Error
0.2b
Counts
22 → 3
Compiler

Compiled 205 to 124 computations (39.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.1b
(*.f64 (pow.f64 x 5) 2/15)
0.2b
(*.f64 1/3 (pow.f64 x 3))

rewrite89.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
22×add-sqr-sqrt_binary64
15×associate-*r*_binary64
13×add-exp-log_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
unpow-prod-down_binary64
add-cbrt-cube_binary64 unswap-sqr_binary64
prod-exp_binary64
add-log-exp_binary64
cube-prod_binary64 sqr-pow_binary64
pow1_binary64
pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
unpow3_binary64 cube-mult_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
3 → 68
Calls

3 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
5.0ms
(*.f64 (pow.f64 x 5) 2/15)
3.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
Compiler

Compiled 1191 to 937 computations (21.3% saved)

series39.0ms (1.2%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

15.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
11.0ms
(*.f64 1/3 (pow.f64 x 3))
10.0ms
(*.f64 (pow.f64 x 5) 2/15)
Compiler

Compiled 307 to 259 computations (15.6% saved)

simplify84.0ms (2.6%)

Algorithm
egg-herbie
Rules
544×unswap-sqr_binary64
313×*-commutative_binary64
292×exp-prod_binary64
262×distribute-rgt-neg-in_binary64
256×distribute-lft-neg-in_binary64
222×distribute-rgt-in_binary64
187×distribute-lft-in_binary64
175×log-prod_binary64
165×cancel-sign-sub-inv_binary64
164×unsub-neg_binary64
147×cube-prod_binary64
114×neg-mul-1_binary64
113×sqr-pow_binary64
109×neg-sub0_binary64 associate-*l*_binary64
95×associate-*r*_binary64
94×associate-+r+_binary64
91×associate-+l+_binary64
89×times-frac_binary64
73×exp-sum_binary64
69×swap-sqr_binary64
50×rem-sqrt-square_binary64
49×distribute-rgt-out_binary64
35×sub-neg_binary64 associate-/l*_binary64
33×unpow3_binary64
28×+-commutative_binary64
27×log-pow_binary64 pow-plus_binary64
24×difference-of-squares_binary64 associate-/r*_binary64
21×cube-unmult_binary64
20×cube-mult_binary64
19×pow-sqr_binary64
17×exp-diff_binary64 distribute-rgt-neg-out_binary64
16×distribute-lft-neg-out_binary64
14×distribute-rgt-out--_binary64
10×distribute-lft-out_binary64
sqr-neg_binary64 count-2_binary64
distribute-rgt1-in_binary64
associate-/l/_binary64 associate-*r/_binary64 associate-+l-_binary64
unpow1/3_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-/r/_binary64 associate-+r-_binary64
div-sub_binary64
sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 associate--l+_binary64 associate--r+_binary64
unpow2_binary64 unpow1/2_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_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 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
80 → 48
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0122885
1240824
2710820
31453820
43975811
54878811

prune37.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New47148
Fresh011
Picked011
Done011
Total47451
Error
0.2b
Counts
51 → 4
Compiler

Compiled 646 to 495 computations (23.4% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 2/15 (pow.f64 x 5))
0.2b
(*.f64 1/3 (pow.f64 x 3))
0.6b
(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
47.3b
(log.f64 (*.f64 2/15 (pow.f64 x 5)))

rewrite107.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
24×add-sqr-sqrt_binary64
20×add-exp-log_binary64
19×associate-*r*_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
prod-exp_binary64
add-cbrt-cube_binary64 unpow-prod-down_binary64
unswap-sqr_binary64
pow1_binary64 associate-*l*_binary64
rem-log-exp_binary64 add-log-exp_binary64 exp-prod_binary64 cube-prod_binary64 sqr-pow_binary64
pow-to-exp_binary64 pow-exp_binary64
log-pow_binary64 log-prod_binary64 cbrt-unprod_binary64 *-commutative_binary64
exp-sum_binary64 rem-exp-log_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 82
Calls

4 calls:

6.0ms
(*.f64 1/3 (pow.f64 x 3))
5.0ms
(*.f64 2/15 (pow.f64 x 5))
4.0ms
(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
3.0ms
(log.f64 (*.f64 2/15 (pow.f64 x 5)))
Compiler

Compiled 1457 to 1187 computations (18.5% saved)

series61.0ms (1.9%)

Error
0.2b
Counts
4 → 12
Calls

4 calls:

19.0ms
(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
16.0ms
(log.f64 (*.f64 2/15 (pow.f64 x 5)))
11.0ms
(*.f64 2/15 (pow.f64 x 5))
10.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 455 to 396 computations (13% saved)

simplify95.0ms (2.9%)

Algorithm
egg-herbie
Rules
688×associate-*l*_binary64
600×associate-*r*_binary64
409×log-prod_binary64
232×distribute-rgt-in_binary64
212×exp-prod_binary64
206×times-frac_binary64
192×swap-sqr_binary64
160×cube-prod_binary64
149×*-commutative_binary64
108×sqr-pow_binary64
58×exp-sum_binary64
52×log-pow_binary64
49×unswap-sqr_binary64
30×cancel-sign-sub-inv_binary64
28×distribute-lft-in_binary64
27×log-div_binary64 pow-sqr_binary64
25×sub-neg_binary64
24×exp-diff_binary64
22×cube-unmult_binary64 distribute-neg-in_binary64
21×pow-plus_binary64 unsub-neg_binary64 associate-+r+_binary64
19×associate-+l+_binary64
18×distribute-rgt-neg-out_binary64
17×prod-exp_binary64
16×distribute-lft-neg-out_binary64
14×distribute-rgt-out_binary64
13×distribute-lft-neg-in_binary64
12×unpow3_binary64
11×rem-sqrt-square_binary64 distribute-rgt-neg-in_binary64
10×rem-exp-log_binary64 neg-mul-1_binary64 neg-sub0_binary64 associate-+r-_binary64
cube-mult_binary64 distribute-lft-out_binary64 +-commutative_binary64
exp-to-pow_binary64 div-sub_binary64 associate-/l*_binary64 associate-/r*_binary64
log-rec_binary64 associate-*l/_binary64 associate-+l-_binary64
+-rgt-identity_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 count-2_binary64 associate-*r/_binary64
cube-div_binary64 distribute-lft1-in_binary64
div-exp_binary64 exp-neg_binary64 rem-log-exp_binary64 remove-double-neg_binary64 sub0-neg_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64
unpow1/3_binary64 1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 cancel-sign-sub_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 unpow2_binary64 unpow1/2_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 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-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 distribute-neg-frac_binary64 associate-/l/_binary64 associate-/r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
94 → 50
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0136956
1245873
2611872
32590872
44864872
55102872

prune40.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh011
Picked101
Done022
Total50454
Error
0.2b
Counts
54 → 4
Compiler

Compiled 570 to 452 computations (20.7% saved)

regimes133.0ms (4%)

Accuracy

Total 0.0b remaining (56.5%)

Threshold costs 0.0b (56.5%)

Compiler

Compiled 1580 to 1053 computations (33.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end1.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

sample1.8s (56.2%)

Algorithm
intervals
Results
1.0s3942×body1024valid
252.0ms1929×body512valid
114.0ms401×body2048valid
84.0ms976×body256valid
30.0ms752×body128valid
0.0msbody128overflowed
Compiler

Compiled 71 to 59 computations (16.9% saved)

Profiling

Loading profile data...