Details

Time bar (total: 3.6s)

analyze464.0ms (13%)

Algorithm
search
egg-herbie
Rules
799×div-sub_binary64
554×neg-mul-1_binary64
504×sub-neg_binary64
397×neg-sub0_binary64
310×distribute-rgt-neg-out_binary64
300×unsub-neg_binary64
261×distribute-lft-neg-out_binary64
255×distribute-rgt-neg-in_binary64
235×times-frac_binary64 distribute-neg-frac_binary64
198×distribute-lft-neg-in_binary64
181×associate-/l*_binary64
171×distribute-frac-neg_binary64
158×distribute-rgt-in_binary64
115×distribute-rgt-out--_binary64
110×distribute-lft-in_binary64
109×distribute-rgt-out_binary64
106×associate-/r*_binary64
94×associate-*r*_binary64
87×associate-/r/_binary64 associate-*l*_binary64
84×associate-*l/_binary64
83×cancel-sign-sub-inv_binary64
71×associate-/l/_binary64
68×associate-*r/_binary64
50×associate--r+_binary64
40×remove-double-neg_binary64
32×mul0-rgt_binary64 *-commutative_binary64
30×mul0-lft_binary64
27×distribute-neg-in_binary64
24×+-commutative_binary64
23×div0_binary64 associate-+l-_binary64
22×sqr-neg_binary64 swap-sqr_binary64
16×*-rgt-identity_binary64
12×associate--r-_binary64
11×*-lft-identity_binary64
sub0-neg_binary64 associate-+r+_binary64
associate--l+_binary64
mul-1-neg_binary64 /-rgt-identity_binary64
distribute-rgt1-in_binary64 associate-+r-_binary64 associate-+l+_binary64
*-inverses_binary64
+-rgt-identity_binary64 remove-double-div_binary64 distribute-neg-out_binary64
+-lft-identity_binary64 lft-mult-inverse_binary64
1-exp_binary64 distribute-lft1-in_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-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 --rgt-identity_binary64 +-inverses_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-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
316640
431340
561740
6206940
7382840
8494040
9486640
033
133
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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify145.0ms (4.1%)

Algorithm
egg-herbie
Rules
1130×div-sub_binary64
455×associate-/l*_binary64
423×sub-neg_binary64
377×associate-*l/_binary64
366×neg-mul-1_binary64
352×neg-sub0_binary64
325×associate-/r*_binary64
313×distribute-rgt-neg-out_binary64
287×unsub-neg_binary64
286×cancel-sign-sub-inv_binary64
280×associate-/l/_binary64
267×*-commutative_binary64
260×associate-/r/_binary64
228×distribute-lft-neg-out_binary64
208×distribute-rgt-in_binary64
203×associate--r+_binary64
164×distribute-rgt-neg-in_binary64
163×distribute-lft-in_binary64
159×remove-double-neg_binary64
154×distribute-rgt-out--_binary64
152×+-commutative_binary64
140×distribute-lft-neg-in_binary64
120×associate-+l-_binary64
105×distribute-rgt-out_binary64
97×associate--r-_binary64
81×distribute-frac-neg_binary64
72×times-frac_binary64
57×associate--l-_binary64
54×associate-*r*_binary64
48×distribute-lft-out--_binary64
46×*-lft-identity_binary64 distribute-neg-frac_binary64 distribute-neg-in_binary64 associate--l+_binary64
44×sub0-neg_binary64 associate-*l*_binary64
43×*-rgt-identity_binary64 associate-+l+_binary64 associate-+r+_binary64
41×associate-+r-_binary64
33×--rgt-identity_binary64 mul0-rgt_binary64
32×distribute-neg-out_binary64
29×mul0-lft_binary64
27×/-rgt-identity_binary64
26×+-lft-identity_binary64
25×associate-*r/_binary64
22×div0_binary64
20×cancel-sign-sub_binary64
19×remove-double-div_binary64
18×cube-prod_binary64 sqr-pow_binary64
16×cube-div_binary64 distribute-lft-out_binary64
mul-1-neg_binary64
swap-sqr_binary64
distribute-rgt1-in_binary64
unpow3_binary64 cube-mult_binary64 cube-neg_binary64 *-inverses_binary64 lft-mult-inverse_binary64
sqr-neg_binary64
cube-unmult_binary64 +-rgt-identity_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 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 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 rgt-mult-inverse_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
35410
49910
515510
625510
787610
8268210
9330110
10386610
11422110
12425510
13444510
14486410

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
13.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
12.4b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite57.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
associate-*r*_binary64
pow1_binary64 associate-*r/_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64 sub-neg_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
2 → 53
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 683 to 198 computations (71% saved)

series62.0ms (1.8%)

Error
3.2b
Counts
2 → 30
Calls

2 calls:

31.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
25.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 379 to 312 computations (17.7% saved)

simplify69.0ms (1.9%)

Algorithm
egg-herbie
Rules
670×times-frac_binary64
645×associate-/l*_binary64
254×div-sub_binary64
250×associate-*l/_binary64
214×distribute-rgt-in_binary64
208×distribute-lft-in_binary64
207×associate-/l/_binary64
193×associate-*r/_binary64
163×associate-/r*_binary64
156×exp-prod_binary64
115×associate-/r/_binary64
77×associate-*l*_binary64
62×associate-*r*_binary64
53×*-commutative_binary64
50×cube-prod_binary64
42×log-div_binary64
37×exp-sum_binary64 distribute-rgt-neg-in_binary64
36×log-prod_binary64
35×sub-neg_binary64
33×cube-div_binary64
30×distribute-rgt-neg-out_binary64
29×cancel-sign-sub-inv_binary64
27×distribute-lft-neg-out_binary64
26×distribute-lft-neg-in_binary64
24×neg-sub0_binary64
22×neg-mul-1_binary64
21×*-rgt-identity_binary64
18×*-lft-identity_binary64
15×sqr-pow_binary64
14×exp-diff_binary64 +-commutative_binary64
12×distribute-neg-frac_binary64
11×unpow3_binary64 exp-neg_binary64 /-rgt-identity_binary64
log-rec_binary64
sqr-neg_binary64 swap-sqr_binary64 distribute-neg-in_binary64
cube-unmult_binary64 cube-mult_binary64
unsub-neg_binary64
remove-double-neg_binary64
difference-of-squares_binary64 cancel-sign-sub_binary64 associate-+l+_binary64
rem-sqrt-square_binary64 mul-1-neg_binary64 unswap-sqr_binary64 associate--l+_binary64 associate-+r+_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64 *-inverses_binary64 pow-sqr_binary64 distribute-frac-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 associate--r-_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 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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 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 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
83 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108883
1269790
2951790
34223790
45062790

prune18.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New37643
Fresh000
Picked101
Done000
Total38644
Error
0.0b
Counts
44 → 6
Compiler

Compiled 219 to 114 computations (47.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
3.4b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite68.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
pow1_binary64
associate-*l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64
Counts
2 → 76
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
5.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 1017 to 242 computations (76.2% saved)

series57.0ms (1.6%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

33.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
19.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 303 to 278 computations (8.3% saved)

simplify100.0ms (2.8%)

Algorithm
egg-herbie
Rules
346×neg-mul-1_binary64
325×associate-+l+_binary64
287×associate-*l*_binary64
262×associate-*l/_binary64
260×associate-*r/_binary64
225×associate-*r*_binary64
223×associate-/l*_binary64
222×distribute-rgt-in_binary64
219×distribute-lft-in_binary64
213×div-sub_binary64
167×distribute-rgt-neg-out_binary64
150×distribute-lft-neg-out_binary64
138×times-frac_binary64
130×associate-+r+_binary64
111×associate-/l/_binary64
109×*-commutative_binary64
87×associate-/r/_binary64
73×associate-/r*_binary64
70×sub-neg_binary64 associate-+l-_binary64
64×exp-prod_binary64
54×*-lft-identity_binary64
49×neg-sub0_binary64
45×distribute-frac-neg_binary64
43×*-rgt-identity_binary64
40×unsub-neg_binary64
35×exp-diff_binary64 associate-+r-_binary64
32×log-prod_binary64
30×log-div_binary64 sqr-pow_binary64
27×exp-sum_binary64
26×cube-div_binary64 +-commutative_binary64
25×/-rgt-identity_binary64
23×cube-prod_binary64 associate--l-_binary64
21×associate--l+_binary64
20×distribute-lft-neg-in_binary64
19×cancel-sign-sub-inv_binary64
17×distribute-neg-frac_binary64 associate--r+_binary64
16×swap-sqr_binary64
15×unswap-sqr_binary64
11×distribute-rgt-neg-in_binary64
10×mul-1-neg_binary64
unpow3_binary64 exp-neg_binary64 associate--r-_binary64
cube-mult_binary64 sqr-neg_binary64
log-rec_binary64 distribute-neg-in_binary64 distribute-rgt-out_binary64
cube-unmult_binary64 +-rgt-identity_binary64 distribute-rgt-out--_binary64
sub0-neg_binary64 pow-sqr_binary64
cube-neg_binary64 remove-double-div_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 *-inverses_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 div0_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 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 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
103 → 55
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151297
12691202
28591200
326111200
446601200
550761200

prune34.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh235
Picked011
Done000
Total53861
Error
0.0b
Counts
61 → 8
Compiler

Compiled 527 to 226 computations (57.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.9b
(+.f64 (*.f64 x y) (neg.f64 (*.f64 x z)))
12.4b
(/.f64 (+.f64 (*.f64 x y) (neg.f64 (*.f64 x z))) y)

rewrite51.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
12×times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64
distribute-rgt-neg-in_binary64 distribute-lft-out_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r*_binary64
pow1_binary64 unsub-neg_binary64 div-sub_binary64 neg-sub0_binary64 associate-+r-_binary64 flip3-+_binary64 associate-/l/_binary64 flip-+_binary64 sum-log_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 neg-log_binary64 +-commutative_binary64
Counts
2 → 50
Calls

2 calls:

6.0ms
(/.f64 (+.f64 (*.f64 x y) (neg.f64 (*.f64 x z))) y)
4.0ms
(+.f64 (*.f64 x y) (neg.f64 (*.f64 x z)))
Compiler

Compiled 948 to 174 computations (81.6% saved)

series67.0ms (1.9%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

34.0ms
(/.f64 (+.f64 (*.f64 x y) (neg.f64 (*.f64 x z))) y)
26.0ms
(+.f64 (*.f64 x y) (neg.f64 (*.f64 x z)))
Compiler

Compiled 405 to 328 computations (19% saved)

simplify79.0ms (2.2%)

Algorithm
egg-herbie
Rules
436×unsub-neg_binary64
345×associate-/l*_binary64
306×times-frac_binary64
297×distribute-rgt-in_binary64
292×associate-*l/_binary64
248×distribute-lft-in_binary64
179×associate-*r/_binary64
177×*-commutative_binary64
167×neg-sub0_binary64
154×neg-mul-1_binary64
122×associate-/l/_binary64
120×cancel-sign-sub-inv_binary64
114×associate-/r*_binary64
110×cube-div_binary64
95×exp-prod_binary64
93×cube-prod_binary64
92×log-div_binary64
88×distribute-rgt-neg-out_binary64
79×associate-/r/_binary64
75×distribute-lft-neg-out_binary64 associate-*r*_binary64
73×div-sub_binary64 associate-*l*_binary64
67×log-prod_binary64
57×exp-sum_binary64
54×distribute-lft-out_binary64
53×distribute-rgt-out_binary64
49×distribute-rgt-neg-in_binary64
44×distribute-lft-neg-in_binary64
43×sub-neg_binary64
41×exp-diff_binary64
32×associate-+r+_binary64
29×sqr-pow_binary64
26×associate-+l+_binary64
23×swap-sqr_binary64 associate--r+_binary64
20×unpow3_binary64
19×distribute-frac-neg_binary64 associate-+l-_binary64 +-commutative_binary64
17×cube-mult_binary64 distribute-neg-in_binary64
16×distribute-lft-out--_binary64
15×distribute-rgt-out--_binary64
13×associate--l+_binary64
12×cube-neg_binary64
11×distribute-neg-frac_binary64 associate-+r-_binary64
associate--r-_binary64
associate--l-_binary64
*-rgt-identity_binary64 remove-double-neg_binary64
sqr-neg_binary64 /-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
mul-1-neg_binary64 distribute-neg-out_binary64
cube-unmult_binary64
+-rgt-identity_binary64 difference-of-squares_binary64 unswap-sqr_binary64
log-rec_binary64 pow-sqr_binary64 cancel-sign-sub_binary64
div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 *-lft-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 div0_binary64 *-inverses_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 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 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 +-lft-identity_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
80 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021039
1249963
2891949
33876947
45010947

prune25.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New61263
Fresh066
Picked011
Done011
Total611071
Error
0b
Counts
71 → 10
Compiler

Compiled 690 to 207 computations (70% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.5b
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
12.9b
(cbrt.f64 (*.f64 x (-.f64 y z)))
12.9b
(cbrt.f64 (*.f64 x (-.f64 y z)))
12.9b
(cbrt.f64 (*.f64 x (-.f64 y z)))

rewrite65.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×associate-*r/_binary64
18×cbrt-div_binary64
16×add-exp-log_binary64
flip3--_binary64 flip--_binary64
add-cbrt-cube_binary64 associate-/l/_binary64
pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 frac-times_binary64
pow1/3_binary64 cbrt-prod_binary64
associate-*l/_binary64
frac-2neg_binary64 times-frac_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64
Counts
4 → 62
Calls

4 calls:

13.0ms
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
Compiler

Compiled 2397 to 320 computations (86.6% saved)

series385.0ms (10.8%)

Error
0b
Counts
4 → 72
Calls

4 calls:

94.0ms
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z)))) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
78.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
77.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
74.0ms
(cbrt.f64 (*.f64 x (-.f64 y z)))
Compiler

Compiled 7752 to 4558 computations (41.2% saved)

simplify109.0ms (3.1%)

Algorithm
egg-herbie
Rules
878×associate-/l*_binary64
176×associate-/r/_binary64
159×cancel-sign-sub-inv_binary64
154×associate-/l/_binary64
146×distribute-rgt-neg-in_binary64
143×distribute-lft-neg-in_binary64
123×distribute-rgt-in_binary64
119×sub-neg_binary64
118×times-frac_binary64
114×*-commutative_binary64
110×unswap-sqr_binary64
103×distribute-lft-in_binary64
100×associate-*r*_binary64
88×sqr-pow_binary64
81×associate-*l*_binary64
76×neg-sub0_binary64
74×neg-mul-1_binary64
73×distribute-neg-frac_binary64
57×exp-sum_binary64
50×associate-*r/_binary64
44×associate-/r*_binary64 +-commutative_binary64
40×exp-prod_binary64
39×associate-*l/_binary64
36×log-prod_binary64
35×unsub-neg_binary64
33×distribute-neg-in_binary64
31×div-sub_binary64
25×distribute-lft-neg-out_binary64
24×log-div_binary64 distribute-rgt-out_binary64
23×distribute-rgt-neg-out_binary64
20×exp-diff_binary64
18×unpow1/3_binary64
16×distribute-lft-out_binary64
15×associate--r+_binary64
14×pow-sqr_binary64 distribute-neg-out_binary64
10×log-pow_binary64
swap-sqr_binary64 associate-+l+_binary64
distribute-rgt-out--_binary64
cube-unmult_binary64 associate--r-_binary64 associate-+r+_binary64
unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 unpow1_binary64 remove-double-neg_binary64
cube-div_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate--l-_binary64 associate--l+_binary64 associate-+l-_binary64
log-rec_binary64 cube-prod_binary64
unpow3_binary64 pow-plus_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 distribute-frac-neg_binary64 count-2_binary64
exp-lft-sqr_binary64 1-exp_binary64 rem-3cbrt-rft_binary64 rem-sqrt-square_binary64 distribute-rgt1-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 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64
Counts
134 → 115
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02384001
16633495
218933325
351413325

prune64.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh077
Picked011
Done022
Total11510125
Error
0b
Counts
125 → 10
Compiler

Compiled 3945 to 914 computations (76.8% saved)

regimes801.0ms (22.5%)

Accuracy

Total 0.2b remaining (89.7%)

Threshold costs 0.2b (89.7%)

Compiler

Compiled 4483 to 3143 computations (29.9% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
not-or if-if-or-not_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
not-not if-not_binary64 1-exp_binary64 unsub-neg_binary64 *-lft-identity_binary64
not-true not-false not-and 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_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 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
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032102
14994
26394
37892
48492
58892
68992
78892

end1.0ms (0%)

Compiler

Compiled 62 to 28 computations (54.8% saved)

sample769.0ms (21.6%)

Algorithm
intervals
Results
230.0ms8000×body128valid
31.0ms781×body128invalid
Compiler

Compiled 235 to 156 computations (33.6% saved)

Profiling

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