Details

Time bar (total: 8.7s)

analyze1.2s (14%)

Algorithm
search
egg-herbie
Rules
156×times-frac_binary64
112×div-sub_binary64
110×cancel-sign-sub-inv_binary64
98×associate-/r*_binary64
86×associate-/l*_binary64
82×sub-neg_binary64
66×distribute-rgt-in_binary64
56×associate-*r*_binary64
54×distribute-lft-in_binary64
52×unsub-neg_binary64 distribute-neg-frac_binary64
44×neg-mul-1_binary64 associate-/l/_binary64
42×*-commutative_binary64
38×distribute-frac-neg_binary64
36×distribute-rgt-neg-in_binary64
30×neg-sub0_binary64 associate-*l/_binary64 associate--r+_binary64
28×distribute-lft-neg-in_binary64 associate-/r/_binary64 +-commutative_binary64
22×associate-*r/_binary64
20×mul0-rgt_binary64
18×distribute-lft-neg-out_binary64
16×/-rgt-identity_binary64 *-rgt-identity_binary64 mul0-lft_binary64 associate-*l*_binary64
14×+-lft-identity_binary64
12×sub0-neg_binary64 div0_binary64 associate-+l-_binary64
10×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
*-lft-identity_binary64
remove-double-neg_binary64 --rgt-identity_binary64 associate-+l+_binary64
tan-neg_binary64 sin-neg_binary64 distribute-lft-out--_binary64 associate--r-_binary64
+-rgt-identity_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_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 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-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
14128
28228
313528
418928
523928
625228
732228
830328
932328
1034528
1147228
1269128
1360328
1460728
1561928
1661528
1754628
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
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
35.1%55.2%9.7%13
35.9%53.4%10.7%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample61.0ms (0.7%)

Algorithm
intervals
Results
26.0ms85×body1024valid
9.0ms117×body128valid
8.0ms37×body512valid
3.0ms17×body256valid
0.0msbody128invalid
Compiler

Compiled 25 to 25 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm
egg-herbie
Rules
27×cancel-sign-sub-inv_binary64
22×sub-neg_binary64
11×distribute-rgt-in_binary64 associate-/l*_binary64
10×neg-mul-1_binary64 distribute-rgt-neg-in_binary64 associate--r+_binary64
+-commutative_binary64
div-sub_binary64 neg-sub0_binary64 +-lft-identity_binary64 associate-/r*_binary64 *-commutative_binary64
unsub-neg_binary64 sub0-neg_binary64 distribute-neg-frac_binary64 associate-+l-_binary64
distribute-lft-in_binary64 associate-*l*_binary64
*-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-*r*_binary64
remove-double-neg_binary64 --rgt-identity_binary64 distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64 associate-/r/_binary64 associate-*r/_binary64 associate-+l+_binary64
/-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 distribute-lft-out--_binary64 associate-/l/_binary64 associate--r-_binary64
1-exp_binary64 +-rgt-identity_binary64 distribute-rgt-neg-out_binary64 associate-*l/_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
12414
24514
37314
410214
512914
613614
717114
816214
916814
1016514
1114014

prune13.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 30 to 27 computations (10% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 x (tan.f64 B))

rewrite183.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64
36×times-frac_binary64
35×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
14×cancel-sign-sub-inv_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
associate-/l*_binary64 associate-/r*_binary64 difference-of-squares_binary64
add-log-exp_binary64
pow1_binary64 div-inv_binary64
div-exp_binary64 distribute-lft-out--_binary64
cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 tan-quot_binary64 associate-/r/_binary64
inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 diff-log_binary64 frac-sub_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64
Counts
3 → 94
Calls

3 calls:

17.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
6.0ms
(/.f64 x (tan.f64 B))
4.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 1506 to 610 computations (59.5% saved)

series762.0ms (8.8%)

Error
0.1b
Counts
3 → 21
Calls

3 calls:

416.0ms
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
297.0ms
(/.f64 x (tan.f64 B))
37.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 531 to 392 computations (26.2% saved)

simplify136.0ms (1.6%)

Algorithm
egg-herbie
Rules
337×distribute-rgt-in_binary64
314×associate-/l*_binary64
284×distribute-lft-in_binary64
198×times-frac_binary64
196×associate-*l*_binary64
193×associate-*r*_binary64
186×exp-prod_binary64 associate-*l/_binary64
151×distribute-neg-frac_binary64 associate-*r/_binary64
148×cancel-sign-sub-inv_binary64
143×distribute-rgt-neg-in_binary64
142×sub-neg_binary64
133×div-sub_binary64
127×*-commutative_binary64
126×log-prod_binary64
120×distribute-lft-neg-out_binary64
117×log-div_binary64 distribute-lft-neg-in_binary64
113×associate-/r*_binary64
112×associate-/l/_binary64
103×distribute-rgt-neg-out_binary64
81×unsub-neg_binary64
75×neg-sub0_binary64
71×cube-div_binary64
67×neg-mul-1_binary64 associate-/r/_binary64
65×cube-prod_binary64
57×distribute-frac-neg_binary64 +-commutative_binary64
54×exp-diff_binary64
49×swap-sqr_binary64
46×exp-sum_binary64
43×sqr-pow_binary64
38×sqr-neg_binary64
33×*-rgt-identity_binary64
30×unswap-sqr_binary64
29×unpow3_binary64
25×distribute-rgt-out_binary64
24×*-lft-identity_binary64
23×exp-neg_binary64
22×associate-+r-_binary64 associate-+l+_binary64
21×mul0-rgt_binary64 mul0-lft_binary64
20×log-rec_binary64 associate-+r+_binary64
18×cube-mult_binary64 /-rgt-identity_binary64 associate-+l-_binary64
15×div0_binary64
14×sub0-neg_binary64 +-rgt-identity_binary64
13×cube-unmult_binary64
10×difference-of-squares_binary64
distribute-lft-out_binary64
log-pow_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate--l+_binary64
mul-1-neg_binary64
pow-plus_binary64
unpow1/2_binary64 rem-square-sqrt_binary64
rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 +-lft-identity_binary64 remove-double-div_binary64 pow-sqr_binary64 distribute-rgt1-in_binary64 associate--l-_binary64 associate--r+_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 --rgt-identity_binary64 difference-of-sqr-1_binary64 distribute-lft1-in_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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 remove-double-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate--r-_binary64
Counts
115 → 54
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651591
13941550
210091550
327141544
444091544
549181544
648921544

prune50.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New47754
Fresh101
Picked101
Done000
Total49756
Error
0.0b
Counts
56 → 7
Compiler

Compiled 567 to 278 computations (51% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 (neg.f64 x) (tan.f64 B))

rewrite189.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
45×*-un-lft-identity_binary64
43×times-frac_binary64
34×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×distribute-rgt-neg-in_binary64 associate-/l*_binary64
12×distribute-lft-neg-in_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
associate-/r*_binary64
add-log-exp_binary64
pow1_binary64 neg-mul-1_binary64 distribute-lft-out_binary64
div-exp_binary64 div-inv_binary64
cbrt-undiv_binary64 frac-2neg_binary64 neg-sub0_binary64 div-sub_binary64 clear-num_binary64 distribute-frac-neg_binary64
tan-quot_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 sum-log_binary64 frac-add_binary64 flip3-+_binary64 unsub-neg_binary64 flip-+_binary64 associate-+r-_binary64 +-commutative_binary64
Counts
3 → 107
Calls

3 calls:

29.0ms
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
5.0ms
(/.f64 (neg.f64 x) (tan.f64 B))
4.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 1684 to 652 computations (61.3% saved)

series754.0ms (8.7%)

Error
0.0b
Counts
3 → 21
Calls

3 calls:

423.0ms
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
282.0ms
(/.f64 (neg.f64 x) (tan.f64 B))
38.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 579 to 429 computations (25.9% saved)

simplify121.0ms (1.4%)

Algorithm
egg-herbie
Rules
935×div-sub_binary64
468×times-frac_binary64
310×associate-/l*_binary64
244×distribute-rgt-neg-out_binary64
232×unsub-neg_binary64
216×distribute-neg-frac_binary64
213×associate-/r*_binary64
155×sub-neg_binary64
149×associate-*r*_binary64
141×distribute-frac-neg_binary64
134×associate-/l/_binary64
122×associate-/r/_binary64
118×associate-*l/_binary64
116×neg-sub0_binary64
113×distribute-rgt-in_binary64
112×associate-*r/_binary64
110×associate-*l*_binary64
100×distribute-lft-in_binary64
88×cube-div_binary64
87×neg-mul-1_binary64
85×log-div_binary64 cube-prod_binary64
80×log-prod_binary64 *-commutative_binary64
54×distribute-neg-out_binary64
51×distribute-lft-neg-out_binary64
48×cancel-sign-sub-inv_binary64 distribute-lft-neg-in_binary64
44×exp-prod_binary64
39×+-commutative_binary64
36×sqr-pow_binary64 distribute-rgt-neg-in_binary64
35×distribute-neg-in_binary64
32×cancel-sign-sub_binary64 associate-+r+_binary64
30×*-rgt-identity_binary64
28×mul0-rgt_binary64
27×/-rgt-identity_binary64 mul0-lft_binary64 swap-sqr_binary64
26×associate-+l+_binary64
22×exp-sum_binary64
21×unpow3_binary64
20×mul-1-neg_binary64 *-lft-identity_binary64 div0_binary64 associate-+r-_binary64
18×associate-+l-_binary64
15×cube-neg_binary64
14×log-rec_binary64 exp-diff_binary64 cube-mult_binary64 remove-double-neg_binary64
13×associate--l+_binary64
12×associate--r-_binary64
10×sqr-neg_binary64 sub0-neg_binary64 +-rgt-identity_binary64
remove-double-div_binary64
distribute-rgt-out_binary64
--rgt-identity_binary64 distribute-rgt-out--_binary64
cube-unmult_binary64
unswap-sqr_binary64 associate--r+_binary64
difference-of-squares_binary64
associate--l-_binary64
unpow1/2_binary64 exp-neg_binary64 +-lft-identity_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 distribute-lft-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 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
128 → 60
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751889
13701810
29921804
331851804
442201804
550391804

prune62.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh156
Picked011
Done000
Total59867
Error
0b
Counts
67 → 8
Compiler

Compiled 766 to 362 computations (52.7% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))
0.6b
(cbrt.f64 (tan.f64 B))
0.6b
(cbrt.f64 (tan.f64 B))
0.6b
(cbrt.f64 (tan.f64 B))

rewrite156.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×cbrt-prod_binary64
18×add-sqr-sqrt_binary64
16×associate-*r*_binary64
14×add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 associate-*l*_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
add-cbrt-cube_binary64
add-log-exp_binary64
pow1/3_binary64 tan-quot_binary64 cbrt-div_binary64
unswap-sqr_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 distribute-rgt-neg-out_binary64 neg-mul-1_binary64 *-commutative_binary64
Counts
4 → 72
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))
2.0ms
(cbrt.f64 (tan.f64 B))
2.0ms
(cbrt.f64 (tan.f64 B))
2.0ms
(cbrt.f64 (tan.f64 B))
Compiler

Compiled 2162 to 521 computations (75.9% saved)

series717.0ms (8.2%)

Error
0b
Counts
4 → 15
Calls

4 calls:

179.0ms
(cbrt.f64 (tan.f64 B))
178.0ms
(cbrt.f64 (tan.f64 B))
173.0ms
(cbrt.f64 (tan.f64 B))
167.0ms
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))
Compiler

Compiled 1167 to 698 computations (40.2% saved)

simplify105.0ms (1.2%)

Algorithm
egg-herbie
Rules
783×unswap-sqr_binary64
664×log-prod_binary64
447×distribute-rgt-neg-in_binary64
187×sqr-pow_binary64
183×cancel-sign-sub-inv_binary64
178×unsub-neg_binary64
171×*-commutative_binary64
167×distribute-rgt-neg-out_binary64
162×associate-*l*_binary64
157×distribute-rgt-in_binary64
147×neg-mul-1_binary64 neg-sub0_binary64
141×distribute-lft-neg-in_binary64
132×associate-+l+_binary64
126×associate-*r*_binary64
112×distribute-lft-neg-out_binary64
110×distribute-lft-in_binary64
81×sub-neg_binary64
72×exp-prod_binary64
65×associate-+r+_binary64
58×cube-prod_binary64
48×swap-sqr_binary64
44×log-div_binary64
42×mul0-rgt_binary64 mul0-lft_binary64
41×log-pow_binary64
40×distribute-neg-in_binary64
39×pow-sqr_binary64
36×div-sub_binary64 associate-/l*_binary64
33×remove-double-neg_binary64 associate-/r*_binary64
28×cube-unmult_binary64
25×rem-sqrt-square_binary64
24×*-lft-identity_binary64
23×pow-plus_binary64
22×*-rgt-identity_binary64 associate-*r/_binary64
19×exp-sum_binary64
18×distribute-frac-neg_binary64
17×associate-/l/_binary64
15×+-commutative_binary64
13×associate-/r/_binary64 associate-+l-_binary64
12×distribute-neg-frac_binary64 associate--r+_binary64
10×exp-diff_binary64
cube-div_binary64
unpow1/2_binary64 times-frac_binary64 sub0-neg_binary64 --rgt-identity_binary64
unpow3_binary64 sqr-neg_binary64
unpow1/3_binary64 unpow2_binary64 cube-mult_binary64 remove-double-div_binary64 associate-*l/_binary64
unpow1_binary64 mul-1-neg_binary64 count-2_binary64
log-rec_binary64 exp-lft-sqr_binary64 exp-sqrt_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64
exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-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-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_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-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate-+r-_binary64
Counts
87 → 44
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091937
1191889
2474889
3847867
41327867
52514867
64557867
75279867

prune70.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh066
Picked011
Done011
Total44852
Error
0b
Counts
52 → 8
Compiler

Compiled 1059 to 333 computations (68.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
0.2b
(*.f64 x (sin.f64 B))
0.2b
(*.f64 (sin.f64 B) (tan.f64 B))
8.5b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))

rewrite129.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64 associate-*l*_binary64 associate-*r*_binary64
prod-exp_binary64 cbrt-unprod_binary64 times-frac_binary64 associate-/l*_binary64
div-exp_binary64 cbrt-undiv_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64 tan-quot_binary64 associate-*r/_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 associate-/r/_binary64 associate-/r*_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
4 → 74
Calls

4 calls:

9.0ms
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
5.0ms
(*.f64 (sin.f64 B) (tan.f64 B))
4.0ms
(*.f64 x (sin.f64 B))
4.0ms
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
Compiler

Compiled 1460 to 256 computations (82.5% saved)

series1.2s (13.7%)

Error
0b
Counts
4 → 31
Calls

4 calls:

729.0ms
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
286.0ms
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
89.0ms
(*.f64 x (sin.f64 B))
69.0ms
(*.f64 (sin.f64 B) (tan.f64 B))
Compiler

Compiled 1018 to 638 computations (37.3% saved)

simplify89.0ms (1%)

Algorithm
egg-herbie
Rules
659×times-frac_binary64
407×div-sub_binary64
360×associate-/l*_binary64
341×associate-/r*_binary64
224×*-commutative_binary64
134×distribute-rgt-in_binary64
128×distribute-rgt-neg-in_binary64
125×associate-*l*_binary64
124×exp-prod_binary64
123×distribute-lft-in_binary64
115×associate-/l/_binary64
110×cancel-sign-sub-inv_binary64
109×associate-*l/_binary64
106×distribute-lft-neg-in_binary64
105×associate-*r*_binary64
85×associate-*r/_binary64
72×associate-/r/_binary64
58×+-commutative_binary64
47×log-prod_binary64
46×log-div_binary64 cube-prod_binary64
43×cube-div_binary64
42×sub-neg_binary64
40×associate-+l+_binary64
34×neg-sub0_binary64 sqr-pow_binary64 unswap-sqr_binary64
32×neg-mul-1_binary64
28×distribute-rgt-out_binary64
27×distribute-neg-frac_binary64 associate-+r+_binary64
17×/-rgt-identity_binary64 *-lft-identity_binary64 associate--l+_binary64
16×exp-sum_binary64 associate-+r-_binary64
15×distribute-lft-neg-out_binary64
13×*-rgt-identity_binary64 associate-+l-_binary64
10×log-rec_binary64
unpow3_binary64
exp-diff_binary64 swap-sqr_binary64 associate--r+_binary64
unsub-neg_binary64 distribute-neg-in_binary64
distribute-rgt-neg-out_binary64 distribute-lft-out_binary64
cube-unmult_binary64 distribute-rgt-out--_binary64
unpow1/2_binary64 distribute-rgt1-in_binary64
cube-mult_binary64 rem-sqrt-square_binary64 mul-1-neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
log-pow_binary64 unpow2_binary64 pow-plus_binary64 unpow1_binary64 +-rgt-identity_binary64 *-inverses_binary64 pow-sqr_binary64 associate--r-_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
105 → 54
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471789
13691569
212201468
337461468
449631468

prune57.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New52254
Fresh325
Picked011
Done022
Total55762
Error
0b
Counts
62 → 7
Compiler

Compiled 714 to 216 computations (69.7% saved)

regimes698.0ms (8%)

Accuracy

Total 0.1b remaining (83.5%)

Threshold costs 0.1b (83.5%)

Compiler

Compiled 5833 to 4161 computations (28.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 *-commutative_binary64
distribute-neg-frac_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 unsub-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-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11114
21714
32114
42414
52514
62514

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.9s (21.4%)

Algorithm
intervals
Results
691.0ms2276×body1024valid
335.0ms3964×body128valid
255.0ms1166×body512valid
90.0ms585×body256valid
13.0ms177×body128invalid
4.0msbody2048valid
Compiler

Compiled 147 to 115 computations (21.8% saved)

Profiling

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