Details

Time bar (total: 7.4s)

analyze935.0ms (12.7%)

Algorithm
1×search
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)

sample56.0ms (0.8%)

Algorithm
1×intervals
Results
22.0ms78×body1024valid
9.0ms128×body128valid
6.0ms32×body512valid
3.0ms17×body256valid
1.0ms14×body128invalid
1.0ms1×body2048valid
Compiler

Compiled 25 to 25 computations (0% saved)

simplify118.0ms (1.6%)

Algorithm
1×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
8×+-commutative_binary64
7×div-sub_binary64 neg-sub0_binary64 +-lft-identity_binary64 associate-/r*_binary64 *-commutative_binary64
6×unsub-neg_binary64 sub0-neg_binary64 distribute-neg-frac_binary64 associate-+l-_binary64
5×distribute-lft-in_binary64 associate-*l*_binary64
4×*-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-*r*_binary64
3×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
2×/-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 distribute-lft-out--_binary64 associate-/l/_binary64 associate--r-_binary64
1×1-exp_binary64 +-rgt-identity_binary64 distribute-rgt-neg-out_binary64 associate-*l/_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64
0×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

prune7.0ms (0.1%)

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite78.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
18×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
8×add-exp-log_binary64
6×add-cbrt-cube_binary64 associate-/l*_binary64 associate-/r*_binary64
3×pow1_binary64 div-exp_binary64
2×add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64
1×tan-quot_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64
Counts
2 → 59
Calls

2 calls:

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

Compiled 888 to 387 computations (56.4% saved)

series240.0ms (3.3%)

Error
0.1b
Counts
2 → 12
Calls

2 calls:

196.0ms
(/.f64 x (tan.f64 B))
34.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 400 to 269 computations (32.8% saved)

simplify136.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
475×times-frac_binary64
459×div-sub_binary64
422×associate-/l*_binary64
387×unsub-neg_binary64
340×unswap-sqr_binary64
321×associate-/l/_binary64
265×distribute-neg-in_binary64
261×cancel-sign-sub-inv_binary64
248×sub-neg_binary64
199×associate-*l*_binary64
180×associate-/r*_binary64
148×associate-+r-_binary64
139×associate-*r*_binary64 +-commutative_binary64
138×distribute-rgt-neg-in_binary64
132×associate-/r/_binary64
122×distribute-rgt-in_binary64
109×sqr-pow_binary64
101×distribute-lft-neg-in_binary64
95×distribute-lft-neg-out_binary64 *-commutative_binary64
89×associate-+r+_binary64
85×neg-sub0_binary64
81×neg-mul-1_binary64
77×distribute-neg-out_binary64
74×associate-+l-_binary64
72×associate--l+_binary64
70×associate-*l/_binary64 associate-+l+_binary64
69×distribute-rgt-neg-out_binary64
67×associate--l-_binary64
60×cube-prod_binary64 div0_binary64
59×distribute-lft-in_binary64
51×associate-*r/_binary64
48×*-lft-identity_binary64 distribute-rgt-out_binary64
46×*-rgt-identity_binary64
45×associate--r+_binary64
40×mul0-rgt_binary64 mul0-lft_binary64
35×distribute-frac-neg_binary64
34×unpow3_binary64
33×distribute-lft-out_binary64
31×/-rgt-identity_binary64
29×cube-div_binary64 distribute-rgt-out--_binary64
27×log-div_binary64 distribute-neg-frac_binary64
26×cube-unmult_binary64
24×pow-sqr_binary64
23×pow-plus_binary64
22×remove-double-neg_binary64
20×log-prod_binary64
18×remove-double-div_binary64
16×+-rgt-identity_binary64
15×associate--r-_binary64
14×exp-prod_binary64 swap-sqr_binary64
13×cancel-sign-sub_binary64 distribute-lft-out--_binary64
12×cube-mult_binary64 distribute-rgt1-in_binary64
9×log-rec_binary64 rem-sqrt-square_binary64
8×sub0-neg_binary64
7×exp-sum_binary64 cube-neg_binary64 sqr-neg_binary64
6×exp-diff_binary64 mul-1-neg_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64
5×+-lft-identity_binary64
4×unpow1/2_binary64
3×unpow2_binary64
2×unpow1_binary64 exp-neg_binary64 count-2_binary64
1×1-exp_binary64 exp-1-e_binary64 +-inverses_binary64
0×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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 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 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64
Counts
71 → 35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109817
1197765
2389765
3632765
41236765
52540765
63119765
73900765
84692765
94433765

prune36.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New29635
Fresh011
Picked101
Done000
Total30737
Error
0.1b
Counts
37 → 7
Compiler

Compiled 584 to 279 computations (52.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite133.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
34×add-sqr-sqrt_binary64
29×times-frac_binary64
28×*-un-lft-identity_binary64
27×add-cube-cbrt_binary64
20×add-exp-log_binary64
14×associate-*r*_binary64
12×add-cbrt-cube_binary64
7×pow1_binary64
6×div-exp_binary64 associate-/l*_binary64 associate-/r*_binary64
4×prod-exp_binary64
3×1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 associate-*l*_binary64 div-inv_binary64
2×cbrt-unprod_binary64 tan-quot_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
1×pow-prod-down_binary64 un-div-inv_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 100
Calls

3 calls:

9.0ms
(*.f64 x (/.f64 1 (tan.f64 B)))
6.0ms
(/.f64 1 (sin.f64 B))
4.0ms
(/.f64 1 (tan.f64 B))
Compiler

Compiled 1814 to 1088 computations (40% saved)

series284.0ms (3.9%)

Error
0.0b
Counts
3 → 16
Calls

3 calls:

180.0ms
(*.f64 x (/.f64 1 (tan.f64 B)))
57.0ms
(/.f64 1 (tan.f64 B))
31.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 610 to 435 computations (28.7% saved)

simplify205.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
639×unsub-neg_binary64
532×times-frac_binary64
355×sqr-pow_binary64
341×associate-/l*_binary64
329×div-sub_binary64
300×associate-+r-_binary64
298×sub-neg_binary64
251×distribute-rgt-in_binary64
219×cancel-sign-sub-inv_binary64
204×pow-sqr_binary64 unswap-sqr_binary64
171×distribute-neg-in_binary64
159×*-commutative_binary64
155×associate-/r*_binary64
144×associate-/l/_binary64
143×neg-mul-1_binary64
139×neg-sub0_binary64
128×associate-*l*_binary64
114×distribute-lft-in_binary64
106×associate-+l+_binary64
100×associate--l-_binary64
98×associate-*l/_binary64
95×rem-sqrt-square_binary64
94×associate-/r/_binary64
91×associate-*r/_binary64 +-commutative_binary64
89×associate--l+_binary64
88×associate-*r*_binary64
87×associate-+l-_binary64
74×distribute-rgt-neg-in_binary64
70×cancel-sign-sub_binary64
66×distribute-neg-out_binary64
61×remove-double-neg_binary64
59×associate--r+_binary64
54×distribute-lft-neg-out_binary64
52×associate-+r+_binary64
51×*-rgt-identity_binary64
46×distribute-lft-neg-in_binary64
43×div0_binary64
41×distribute-rgt-neg-out_binary64
40×cube-prod_binary64
39×*-lft-identity_binary64
33×distribute-lft-out_binary64
26×distribute-rgt-out_binary64
24×distribute-frac-neg_binary64
19×/-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate--r-_binary64
17×log-prod_binary64 exp-prod_binary64 +-rgt-identity_binary64
16×unpow3_binary64 cube-div_binary64 swap-sqr_binary64
15×distribute-rgt-out--_binary64
13×cube-unmult_binary64
12×log-div_binary64 cube-mult_binary64 sub0-neg_binary64 +-lft-identity_binary64 distribute-neg-frac_binary64
10×distribute-lft-out--_binary64
9×distribute-rgt1-in_binary64
7×pow-plus_binary64
6×unpow1/2_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64
5×log-rec_binary64 exp-sum_binary64 cube-neg_binary64
4×unpow2_binary64 exp-diff_binary64 sqr-neg_binary64
3×unpow1_binary64 mul-1-neg_binary64
2×count-2_binary64
1×rec-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-div_binary64
0×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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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
Counts
116 → 97
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01271246
12611137
26181137
310421137
417791137
523481137
627871137
735911137
842381137
949351137
1049821137
1146631137

prune96.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New93497
Fresh426
Picked101
Done000
Total986104
Error
0.0b
Counts
104 → 6
Compiler

Compiled 1763 to 917 computations (48% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 x (sin.f64 B))
0.2b
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite102.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
32×add-sqr-sqrt_binary64
28×times-frac_binary64
27×add-cube-cbrt_binary64 *-un-lft-identity_binary64
14×add-exp-log_binary64
13×associate-*l*_binary64
12×add-cbrt-cube_binary64
6×pow1_binary64 associate-/l*_binary64 associate-/r*_binary64
4×div-exp_binary64
3×add-log-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 associate-*r*_binary64
2×prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 frac-2neg_binary64 clear-num_binary64
1×pow-prod-down_binary64 associate-*l/_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64
Counts
3 → 90
Calls

3 calls:

10.0ms
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
4.0ms
(/.f64 1 (sin.f64 B))
3.0ms
(/.f64 x (sin.f64 B))
Compiler

Compiled 1774 to 642 computations (63.8% saved)

series273.0ms (3.7%)

Error
0.0b
Counts
3 → 19
Calls

3 calls:

143.0ms
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
82.0ms
(/.f64 x (sin.f64 B))
33.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 753 to 478 computations (36.5% saved)

simplify128.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
405×associate-/r*_binary64
369×div-sub_binary64
367×sub-neg_binary64 associate-/r/_binary64
308×cancel-sign-sub-inv_binary64
295×unsub-neg_binary64
269×distribute-neg-in_binary64
262×associate--r-_binary64
250×*-commutative_binary64
227×associate-*l/_binary64
216×associate-*l*_binary64
196×associate--l-_binary64
194×associate-/l*_binary64
161×associate-*r/_binary64
140×associate-*r*_binary64
113×sqr-pow_binary64
86×times-frac_binary64
69×+-commutative_binary64
67×associate-/l/_binary64
62×associate-+r-_binary64
61×distribute-rgt-in_binary64
59×associate-+l-_binary64
54×unswap-sqr_binary64
53×associate-+r+_binary64
47×neg-mul-1_binary64 associate-+l+_binary64
44×*-rgt-identity_binary64
43×neg-sub0_binary64
39×/-rgt-identity_binary64
34×log-div_binary64 swap-sqr_binary64
33×*-lft-identity_binary64 distribute-neg-out_binary64
32×cube-prod_binary64
31×cube-div_binary64 distribute-rgt-neg-in_binary64
28×log-prod_binary64 pow-sqr_binary64
26×distribute-lft-in_binary64
24×rem-sqrt-square_binary64
23×associate--l+_binary64
22×distribute-lft-neg-in_binary64
21×exp-prod_binary64 associate--r+_binary64
17×--rgt-identity_binary64
15×distribute-neg-frac_binary64
13×distribute-rgt-out_binary64
10×unpow3_binary64 cube-unmult_binary64
9×log-rec_binary64 +-rgt-identity_binary64
8×cube-mult_binary64 +-lft-identity_binary64
7×remove-double-neg_binary64 sub0-neg_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
5×unpow1/2_binary64 remove-double-div_binary64 distribute-lft-neg-out_binary64
4×mul0-rgt_binary64 mul0-lft_binary64
3×pow-plus_binary64 exp-diff_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
2×div0_binary64 +-inverses_binary64 distribute-rgt-neg-out_binary64
1×unpow2_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 count-2_binary64
0×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 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-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-lft-out--_binary64
Counts
109 → 74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01331379
12801255
26711255
316291255
426921255
536181255
645761255
750271255

prune72.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh055
Picked101
Done000
Total73780
Error
0.0b
Counts
80 → 7
Compiler

Compiled 1616 to 573 computations (64.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B)))
0.3b
(*.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))

rewrite155.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
36×add-exp-log_binary64 add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
29×add-cube-cbrt_binary64 times-frac_binary64
22×add-cbrt-cube_binary64
14×associate-*r*_binary64
13×pow1_binary64 prod-exp_binary64
8×div-exp_binary64
7×cbrt-unprod_binary64
6×associate-*l*_binary64 associate-/l*_binary64 associate-/r*_binary64
4×pow-prod-down_binary64 1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64
3×unswap-sqr_binary64 div-inv_binary64
2×un-div-inv_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
Counts
4 → 122
Calls

4 calls:

9.0ms
(*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B)))
8.0ms
(*.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))
4.0ms
(/.f64 1 (sin.f64 B))
3.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 2614 to 1428 computations (45.4% saved)

series249.0ms (3.4%)

Error
0.0b
Counts
4 → 20
Calls

4 calls:

143.0ms
(*.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))
36.0ms
(*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B)))
28.0ms
(/.f64 1 (sin.f64 B))
26.0ms
(/.f64 1 (sin.f64 B))
Compiler

Compiled 827 to 581 computations (29.7% saved)

simplify165.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
593×associate-/l*_binary64
552×times-frac_binary64
463×sub-neg_binary64
322×sqr-pow_binary64
270×*-commutative_binary64
264×associate-+r-_binary64
241×div-sub_binary64
231×associate-/l/_binary64
215×unsub-neg_binary64
188×associate-*r/_binary64
179×associate-/r*_binary64
169×cancel-sign-sub-inv_binary64
161×pow-sqr_binary64
156×associate-/r/_binary64
154×associate-*l/_binary64
149×distribute-rgt-in_binary64
147×+-commutative_binary64
116×associate--l+_binary64
114×associate-*l*_binary64 associate--l-_binary64
110×associate-*r*_binary64
107×unswap-sqr_binary64
91×associate-+l-_binary64
86×associate--r+_binary64
73×distribute-neg-in_binary64
66×associate-+r+_binary64
56×div0_binary64
53×neg-mul-1_binary64
49×*-rgt-identity_binary64
48×rem-sqrt-square_binary64
47×associate-+l+_binary64
46×neg-sub0_binary64
40×distribute-lft-in_binary64
39×associate--r-_binary64
34×+-rgt-identity_binary64
32×exp-prod_binary64
29×distribute-lft-out_binary64
28×*-lft-identity_binary64
27×distribute-lft-neg-in_binary64
26×distribute-rgt-neg-in_binary64
24×log-prod_binary64
23×swap-sqr_binary64 distribute-rgt-out_binary64
21×cube-div_binary64 cube-prod_binary64
17×log-div_binary64 /-rgt-identity_binary64
15×mul0-rgt_binary64 mul0-lft_binary64
14×+-lft-identity_binary64
13×sub0-neg_binary64
12×remove-double-neg_binary64 distribute-lft-neg-out_binary64
9×distribute-lft-out--_binary64
8×distribute-rgt1-in_binary64 distribute-rgt-out--_binary64
7×unpow3_binary64 unpow1/2_binary64 cube-mult_binary64 distribute-rgt-neg-out_binary64
6×log-rec_binary64 cube-unmult_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64
5×--rgt-identity_binary64
3×count-2_binary64
2×distribute-neg-out_binary64
1×exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-div_binary64
0×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 prod-exp_binary64 exp-neg_binary64 exp-sum_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 *-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
Counts
142 → 141
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01201731
12601518
27121518
314581518
427421518
536741518
643461518
746021518
850291518

prune122.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1410141
Fresh066
Picked011
Done000
Total1417148
Error
0.0b
Counts
148 → 7
Compiler

Compiled 2918 to 1191 computations (59.2% saved)

regimes511.0ms (6.9%)

Accuracy

Total 0.1b remaining (83.4%)

Threshold costs 0.1b (83.4%)

Compiler

Compiled 5107 to 3771 computations (26.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×sub-neg_binary64 +-commutative_binary64
2×neg-mul-1_binary64 neg-sub0_binary64 *-commutative_binary64
1×1-exp_binary64 distribute-neg-frac_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 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
11314
21914
32314
42614
52714
62614

end0.0ms (0%)

sample3.2s (43.8%)

Algorithm
1×intervals
Results
646.0ms2309×body1024valid
308.0ms4003×body128valid
228.0ms1156×body512valid
74.0ms529×body256valid
12.0ms171×body128invalid
2.0ms3×body2048valid
0.0ms1×body512invalid
Compiler

Compiled 1715 to 1269 computations (26% saved)

Profiling

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