Details

Time bar (total: 3.6s)

analyze331.0ms (9.2%)

Algorithm
search
egg-herbie
Rules
750×unsub-neg_binary64
558×neg-mul-1_binary64
556×neg-sub0_binary64
374×times-frac_binary64
359×div-sub_binary64
304×distribute-rgt-in_binary64
294×sub-neg_binary64
248×distribute-neg-out_binary64
242×distribute-lft-in_binary64
232×distribute-frac-neg_binary64
212×associate-*l*_binary64
195×associate-*r*_binary64
152×associate-+r+_binary64
134×associate-+l+_binary64
132×associate-/l*_binary64
117×associate-/r*_binary64
100×distribute-neg-in_binary64
86×distribute-neg-frac_binary64
76×distribute-rgt-neg-out_binary64
70×associate-+l-_binary64
68×distribute-lft-neg-out_binary64
64×associate-*l/_binary64
58×associate-+r-_binary64
50×distribute-rgt-out_binary64
40×associate-*r/_binary64
38×*-rgt-identity_binary64
36×associate-/r/_binary64
32×cancel-sign-sub-inv_binary64
28×*-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-commutative_binary64
26×associate-/l/_binary64 *-commutative_binary64
22×/-rgt-identity_binary64
20×sub0-neg_binary64 +-rgt-identity_binary64
18×mul-1-neg_binary64 associate--l+_binary64
12×sqr-neg_binary64 associate--l-_binary64 associate--r+_binary64
10×distribute-lft-neg-in_binary64
distribute-rgt1-in_binary64
distribute-rgt-neg-in_binary64 distribute-lft1-in_binary64
remove-double-neg_binary64 div0_binary64 swap-sqr_binary64 associate--r-_binary64
--rgt-identity_binary64 remove-double-div_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13238
28238
320338
466338
5264938
6396738
7494638
022
122
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample34.0ms (0.9%)

Algorithm
intervals
Results
15.0ms256×body128valid
5.0ms258×pre128true
0.0msbody128invalid
Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify96.0ms (2.7%)

Algorithm
egg-herbie
Rules
1334×unsub-neg_binary64
587×sub-neg_binary64
522×div-sub_binary64
483×distribute-neg-out_binary64
441×distribute-rgt-in_binary64
386×neg-mul-1_binary64
376×associate-/l*_binary64
328×neg-sub0_binary64
323×distribute-rgt-out--_binary64
313×distribute-neg-in_binary64
309×distribute-lft-in_binary64
296×distribute-lft-neg-out_binary64
284×distribute-rgt-neg-out_binary64
224×associate--r+_binary64
219×*-commutative_binary64
209×distribute-rgt-neg-in_binary64
208×associate-+l-_binary64
201×distribute-rgt-out_binary64
182×associate-*l/_binary64
180×cancel-sign-sub-inv_binary64
170×+-commutative_binary64
157×associate-/r/_binary64
149×associate-+r-_binary64
148×associate--l+_binary64
106×distribute-lft-neg-in_binary64
105×distribute-neg-frac_binary64
100×associate-*l*_binary64
95×associate-/l/_binary64
94×associate-*r*_binary64
88×associate--r-_binary64
79×remove-double-neg_binary64
76×associate-+r+_binary64
73×distribute-rgt1-in_binary64
67×associate-+l+_binary64
65×*-rgt-identity_binary64
59×associate--l-_binary64
45×associate-*r/_binary64
44×associate-/r*_binary64
39×*-lft-identity_binary64
34×distribute-lft1-in_binary64
33×distribute-frac-neg_binary64
32×sub0-neg_binary64
26×mul0-lft_binary64
25×mul0-rgt_binary64
24×mul-1-neg_binary64
22×cancel-sign-sub_binary64
21×distribute-lft-out_binary64
14×+-rgt-identity_binary64
11×--rgt-identity_binary64
10×div0_binary64
distribute-lft-out--_binary64
/-rgt-identity_binary64
cube-prod_binary64
sqr-neg_binary64 sqr-pow_binary64 difference-of-squares_binary64
cube-unmult_binary64 +-lft-identity_binary64 swap-sqr_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
12019
24619
310819
431919
5108119
6291119
7325419
8389119
9472819
10492419

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite187.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
27×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64 associate-*r*_binary64
10×associate-*l*_binary64
flip3--_binary64 flip--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow1_binary64
associate-*r/_binary64 difference-of-squares_binary64
frac-times_binary64 sub-neg_binary64
prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 times-frac_binary64 associate-/r*_binary64 distribute-lft-out--_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/l/_binary64 pow-prod-down_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 difference-of-sqr-1_binary64
Counts
3 → 95
Calls

3 calls:

15.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 2046 to 1400 computations (31.6% saved)

series99.0ms (2.8%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

34.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
33.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
12.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 857 to 668 computations (22.1% saved)

simplify108.0ms (3%)

Algorithm
egg-herbie
Rules
710×distribute-rgt-in_binary64
661×distribute-lft-in_binary64
213×associate-/r*_binary64
201×associate-/l/_binary64
149×associate-/r/_binary64
146×associate-*l*_binary64
144×exp-prod_binary64
118×associate-*r*_binary64
105×*-commutative_binary64
82×log-prod_binary64
79×associate-/l*_binary64
70×sub-neg_binary64
61×distribute-rgt-neg-out_binary64
55×log-div_binary64
52×distribute-lft-neg-out_binary64
42×+-commutative_binary64
40×times-frac_binary64 associate-*l/_binary64
34×*-lft-identity_binary64 associate--l+_binary64
33×div-sub_binary64
32×neg-sub0_binary64 unsub-neg_binary64 *-rgt-identity_binary64
31×distribute-rgt-neg-in_binary64
30×sqr-pow_binary64 associate-*r/_binary64
24×neg-mul-1_binary64 distribute-lft-neg-in_binary64
23×cancel-sign-sub-inv_binary64
22×swap-sqr_binary64
21×cube-div_binary64
20×cube-prod_binary64
18×associate-+l+_binary64
17×distribute-rgt-out_binary64
16×distribute-neg-in_binary64
15×distribute-neg-frac_binary64
14×mul-1-neg_binary64
13×unpow3_binary64
12×unswap-sqr_binary64
11×exp-sum_binary64 associate--r+_binary64
10×/-rgt-identity_binary64
log-rec_binary64
distribute-rgt1-in_binary64 distribute-lft-out_binary64
distribute-frac-neg_binary64 associate-+r+_binary64
cube-unmult_binary64
unpow1/2_binary64 pow-plus_binary64 exp-diff_binary64 cube-mult_binary64 distribute-rgt-out--_binary64
log-pow_binary64
pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 associate-+l-_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 distribute-lft1-in_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 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 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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
128 → 109
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01832269
14612160
215912134
347412129
450172129

prune95.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1054109
Fresh000
Picked101
Done000
Total1064110
Error
0b
Counts
110 → 4
Compiler

Compiled 1431 to 878 computations (38.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 m (/.f64 m v))
0.0b
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 m v) m))))
0.2b
(*.f64 (/.f64 m v) m)
8.1b
(/.f64 (pow.f64 m 3) v)

rewrite215.0ms (6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
46×times-frac_binary64
45×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
38×add-cube-cbrt_binary64
18×add-log-exp_binary64
14×add-exp-log_binary64
13×associate-*l*_binary64
12×unpow-prod-down_binary64 cube-prod_binary64 associate-/l*_binary64
11×add-cbrt-cube_binary64
pow1_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64
div-exp_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 diff-log_binary64 frac-sub_binary64
associate-/r*_binary64 associate-*r*_binary64 cancel-sign-sub-inv_binary64
cbrt-undiv_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
pow-to-exp_binary64 pow-exp_binary64 frac-2neg_binary64 clear-num_binary64 pow-prod-down_binary64 associate-*l/_binary64 *-commutative_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 associate--l+_binary64 associate--r+_binary64 +-commutative_binary64
Counts
4 → 135
Calls

4 calls:

12.0ms
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 m v) m))))
6.0ms
(*.f64 (/.f64 m v) m)
6.0ms
(+.f64 m (/.f64 m v))
5.0ms
(/.f64 (pow.f64 m 3) v)
Compiler

Compiled 3682 to 1628 computations (55.8% saved)

series118.0ms (3.3%)

Error
0b
Counts
4 → 36
Calls

4 calls:

41.0ms
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 m v) m))))
21.0ms
(+.f64 m (/.f64 m v))
20.0ms
(/.f64 (pow.f64 m 3) v)
19.0ms
(*.f64 (/.f64 m v) m)
Compiler

Compiled 1409 to 1007 computations (28.5% saved)

simplify99.0ms (2.8%)

Algorithm
egg-herbie
Rules
702×distribute-rgt-in_binary64
301×unswap-sqr_binary64
287×cancel-sign-sub-inv_binary64
201×associate-*r*_binary64
183×associate-*l*_binary64
180×distribute-rgt-neg-in_binary64
151×distribute-lft-neg-in_binary64
142×associate-/l*_binary64
105×distribute-lft-in_binary64
101×cube-prod_binary64
93×distribute-rgt-out_binary64
89×associate-*l/_binary64
83×sub-neg_binary64
82×log-prod_binary64
80×exp-prod_binary64 *-commutative_binary64
70×distribute-neg-frac_binary64
59×swap-sqr_binary64 associate-*r/_binary64
58×distribute-neg-in_binary64
56×cube-div_binary64 times-frac_binary64
55×associate-/r*_binary64
53×sqr-pow_binary64
51×distribute-rgt-out--_binary64
50×log-div_binary64
47×+-commutative_binary64
43×neg-mul-1_binary64
42×associate-/l/_binary64
41×neg-sub0_binary64 distribute-lft-neg-out_binary64
28×*-rgt-identity_binary64
27×exp-sum_binary64 distribute-rgt-neg-out_binary64 associate-+l+_binary64
25×*-lft-identity_binary64
19×associate-+r+_binary64
17×distribute-lft-out_binary64 associate-/r/_binary64 associate--l+_binary64
15×unpow3_binary64
14×div-exp_binary64 distribute-lft-out--_binary64 associate--r+_binary64
12×exp-diff_binary64 unsub-neg_binary64
11×cube-mult_binary64
10×difference-of-squares_binary64
/-rgt-identity_binary64 pow-sqr_binary64 distribute-rgt1-in_binary64
log-pow_binary64
pow-plus_binary64 prod-exp_binary64 cube-unmult_binary64 rem-sqrt-square_binary64
associate-+r-_binary64
div-sub_binary64
+-rgt-identity_binary64 distribute-lft1-in_binary64 associate-+l-_binary64
exp-lft-sqr_binary64 rem-square-sqrt_binary64 difference-of-sqr--1_binary64
log-rec_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 remove-double-neg_binary64 difference-of-sqr-1_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-cbrt_binary64 exp-sqrt_binary64 rec-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 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
171 → 122
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02422828
15892589
224112556
355002556

prune103.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done000
Total1224126
Error
0b
Counts
126 → 4
Compiler

Compiled 2157 to 994 computations (53.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
0.0b
(*.f64 (/.f64 m v) (-.f64 1 m))

rewrite140.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
29×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64 associate-*l*_binary64
12×cancel-sign-sub-inv_binary64 associate-*r*_binary64
10×times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 flip--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow1_binary64 frac-times_binary64
sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 distribute-lft-out--_binary64 *-commutative_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64
Counts
2 → 84
Calls

2 calls:

14.0ms
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
10.0ms
(*.f64 (/.f64 m v) (-.f64 1 m))
Compiler

Compiled 1929 to 1175 computations (39.1% saved)

series72.0ms (2%)

Error
0b
Counts
2 → 27
Calls

2 calls:

32.0ms
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
25.0ms
(*.f64 (/.f64 m v) (-.f64 1 m))
Compiler

Compiled 731 to 560 computations (23.4% saved)

simplify104.0ms (2.9%)

Algorithm
egg-herbie
Rules
748×distribute-rgt-in_binary64
711×distribute-lft-in_binary64
417×times-frac_binary64
163×associate-*l*_binary64
155×exp-prod_binary64
128×*-commutative_binary64
126×associate-*r*_binary64
97×log-prod_binary64
72×distribute-rgt-neg-out_binary64
65×distribute-lft-neg-out_binary64
61×sub-neg_binary64
60×associate-*l/_binary64
55×associate-/l*_binary64
43×associate-/r/_binary64
41×*-lft-identity_binary64 +-commutative_binary64
37×associate-*r/_binary64
34×*-rgt-identity_binary64
32×neg-sub0_binary64 associate--l+_binary64
31×distribute-rgt-neg-in_binary64
30×sqr-pow_binary64
25×unswap-sqr_binary64
24×neg-mul-1_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-out_binary64 associate-/l/_binary64
23×unsub-neg_binary64
22×distribute-lft-neg-in_binary64
21×cube-prod_binary64
18×associate-+l+_binary64
16×div-sub_binary64 swap-sqr_binary64
15×log-div_binary64 distribute-neg-in_binary64
13×mul-1-neg_binary64
11×associate--r+_binary64
10×unpow3_binary64
cube-div_binary64
exp-sum_binary64 associate-/r*_binary64 associate-+r+_binary64
distribute-rgt1-in_binary64
/-rgt-identity_binary64 distribute-neg-frac_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
cube-unmult_binary64
unpow1/2_binary64 cube-mult_binary64
log-pow_binary64 pow-plus_binary64 exp-diff_binary64 associate-+l-_binary64
log-rec_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 associate-+r-_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-rgt-identity_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 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 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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
111 → 95
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862190
14912107
215982081
347332075
449992075

prune81.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh112
Picked011
Done011
Total95499
Error
0b
Counts
99 → 4
Compiler

Compiled 1302 to 773 computations (40.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 m) (cbrt.f64 m))
0.6b
(cbrt.f64 m)
0.6b
(cbrt.f64 m)
0.6b
(cbrt.f64 m)

rewrite92.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 m) (cbrt.f64 m))
1.0ms
(cbrt.f64 m)
1.0ms
(cbrt.f64 m)
1.0ms
(cbrt.f64 m)
Compiler

Compiled 1691 to 832 computations (50.8% saved)

series77.0ms (2.2%)

Error
0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 m) (cbrt.f64 m))
18.0ms
(cbrt.f64 m)
17.0ms
(cbrt.f64 m)
15.0ms
(cbrt.f64 m)
Compiler

Compiled 724 to 558 computations (22.9% saved)

simplify100.0ms (2.8%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64 associate-*l/_binary64
unpow1_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune32.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done022
Total50454
Error
0b
Counts
54 → 4
Compiler

Compiled 603 to 366 computations (39.3% saved)

regimes505.0ms (14.1%)

Accuracy

Total 0.0b remaining (71.1%)

Threshold costs 0.0b (71.1%)

Compiler

Compiled 6736 to 5291 computations (21.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
distribute-neg-in_binary64
1-exp_binary64 unsub-neg_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 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-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-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
12431
23231
34431
45531
56331
66831
77031
86731

end1.0ms (0%)

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample844.0ms (23.5%)

Algorithm
intervals
Results
271.0ms8000×body128valid
163.0ms8059×pre128true
2.0ms59×body128invalid
Compiler

Compiled 123 to 99 computations (19.5% saved)

Profiling

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