Details

Time bar (total: 3.6s)

analyze436.0ms (12%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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)

sample17.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms23×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify145.0ms (4%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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
11.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.5b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-/r*_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-/l/_binary64
pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/l*_binary64
Counts
1 → 23
Calls

1 calls:

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

Compiled 312 to 92 computations (70.5% saved)

series37.0ms (1%)

Error
2.1b
Counts
1 → 15
Calls

1 calls:

32.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 172 to 149 computations (13.4% saved)

simplify79.0ms (2.2%)

Algorithm
egg-herbie
Rules
488×neg-mul-1_binary64
424×*-commutative_binary64
367×sub-neg_binary64
363×associate-/l*_binary64
294×times-frac_binary64
291×div-sub_binary64
225×distribute-frac-neg_binary64
192×unsub-neg_binary64
171×neg-sub0_binary64
151×associate-/l/_binary64
147×associate-*l/_binary64
145×associate-*l*_binary64
129×distribute-rgt-in_binary64
128×distribute-lft-in_binary64
107×associate-*r/_binary64
97×associate-*r*_binary64
95×cancel-sign-sub-inv_binary64
94×associate-/r*_binary64
91×distribute-rgt-neg-out_binary64
89×associate-/r/_binary64
73×distribute-lft-neg-out_binary64
66×exp-sum_binary64
60×+-commutative_binary64
57×exp-prod_binary64 div0_binary64
43×distribute-neg-out_binary64
41×associate-+l-_binary64
40×exp-diff_binary64
35×distribute-neg-frac_binary64 associate-+l+_binary64
34×associate--l-_binary64
32×remove-double-neg_binary64
31×sqr-pow_binary64
27×log-div_binary64
25×cube-prod_binary64 associate--l+_binary64
24×log-prod_binary64
23×associate-+r+_binary64
22×cube-div_binary64
21×/-rgt-identity_binary64 swap-sqr_binary64
19×*-rgt-identity_binary64
16×associate-+r-_binary64
15×distribute-rgt-neg-in_binary64 associate--r-_binary64 associate--r+_binary64
14×unswap-sqr_binary64
13×*-lft-identity_binary64 sub0-neg_binary64 +-rgt-identity_binary64
10×sqr-neg_binary64 distribute-lft-neg-in_binary64
cube-neg_binary64
unpow3_binary64
exp-neg_binary64
--rgt-identity_binary64 distribute-neg-in_binary64
cube-unmult_binary64 cube-mult_binary64
distribute-rgt-out_binary64
log-rec_binary64 mul-1-neg_binary64 distribute-lft-out--_binary64
1-exp_binary64 exp-1-e_binary64 +-lft-identity_binary64 *-inverses_binary64 remove-double-div_binary64 pow-sqr_binary64 distribute-lft-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64
Counts
38 → 14
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062467
1160404
2524402
32191402
43482402
54593402
65002402

prune11.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New10414
Fresh000
Picked011
Done000
Total10515
Error
0.0b
Counts
15 → 5
Compiler

Compiled 135 to 74 computations (45.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
2.7b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite73.0ms (2%)

Algorithm
rewrite-expression-head
Error
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))
6.0ms
(/.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)

simplify104.0ms (2.9%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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

prune33.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52355
Fresh213
Picked011
Done011
Total54660
Error
0.0b
Counts
60 → 6
Compiler

Compiled 503 to 209 computations (58.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) (cbrt.f64 (-.f64 1 (/.f64 z y)))))
2.8b
(cbrt.f64 (/.f64 (-.f64 y z) y))
2.8b
(cbrt.f64 (-.f64 1 (/.f64 z y)))
2.8b
(cbrt.f64 (-.f64 1 (/.f64 z y)))

rewrite162.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
39×add-sqr-sqrt_binary64
35×cbrt-prod_binary64
30×*-un-lft-identity_binary64
19×times-frac_binary64
17×cbrt-div_binary64
16×add-cube-cbrt_binary64
11×difference-of-squares_binary64
10×associate-*r/_binary64
pow1_binary64 add-exp-log_binary64
flip3--_binary64 flip--_binary64
add-cbrt-cube_binary64
distribute-lft-out--_binary64
add-log-exp_binary64 frac-times_binary64
pow1/3_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
associate-*l/_binary64
div-inv_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 91
Calls

4 calls:

20.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) (cbrt.f64 (-.f64 1 (/.f64 z y)))))
7.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
7.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
4.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
Compiler

Compiled 2737 to 1248 computations (54.4% saved)

series372.0ms (10.3%)

Error
0.0b
Counts
4 → 87
Calls

4 calls:

108.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) (cbrt.f64 (-.f64 1 (/.f64 z y)))))
60.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
60.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
58.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
Compiler

Compiled 7373 to 5416 computations (26.5% saved)

simplify160.0ms (4.4%)

Algorithm
egg-herbie
Rules
803×associate-/r*_binary64
403×associate-/r/_binary64
222×cancel-sign-sub-inv_binary64 distribute-neg-frac_binary64
194×distribute-rgt-neg-in_binary64
177×distribute-lft-neg-in_binary64
173×sub-neg_binary64
153×associate-*r*_binary64
143×*-commutative_binary64
131×distribute-rgt-in_binary64
124×times-frac_binary64
115×associate-/l*_binary64
106×associate-*l*_binary64
105×associate-/l/_binary64
91×neg-mul-1_binary64 neg-sub0_binary64
84×distribute-lft-in_binary64
80×associate-*r/_binary64
76×+-commutative_binary64
69×distribute-neg-in_binary64
61×unswap-sqr_binary64
55×associate-*l/_binary64
49×sqr-pow_binary64 associate--r+_binary64
45×unsub-neg_binary64
27×distribute-lft-neg-out_binary64
26×exp-sum_binary64 div-sub_binary64
22×exp-prod_binary64
19×associate-+l+_binary64
17×log-prod_binary64 associate-+r+_binary64
15×exp-diff_binary64 distribute-rgt-neg-out_binary64
13×swap-sqr_binary64
cube-prod_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 distribute-neg-out_binary64 distribute-rgt-out_binary64
log-div_binary64 /-rgt-identity_binary64 pow-sqr_binary64
unpow1/3_binary64 associate--l+_binary64
cube-unmult_binary64 distribute-rgt1-in_binary64
log-pow_binary64 log-rec_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 associate--l-_binary64 associate-+l-_binary64
unpow3_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-neg_binary64 cube-mult_binary64 cube-div_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64
rem-3cbrt-lft_binary64 remove-double-neg_binary64 *-inverses_binary64 associate--r-_binary64 associate-+r-_binary64
pow-plus_binary64 1-exp_binary64 rem-cbrt-cube_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64
Counts
178 → 116
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03615719
18045382
221755138
356805138

prune108.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1151116
Fresh033
Picked011
Done022
Total1157122
Error
0.0b
Counts
122 → 7
Compiler

Compiled 3768 to 1799 computations (52.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.3b
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))
1.6b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))

rewrite80.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
21×add-sqr-sqrt_binary64
18×pow1_binary64 add-exp-log_binary64
13×*-un-lft-identity_binary64
11×add-cbrt-cube_binary64
10×cbrt-prod_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 associate-*l*_binary64
associate-*r*_binary64
add-log-exp_binary64 associate-*l/_binary64 difference-of-squares_binary64
flip3--_binary64 associate-*r/_binary64 flip--_binary64 *-commutative_binary64 unswap-sqr_binary64 times-frac_binary64 pow1/3_binary64
distribute-lft-out--_binary64
Counts
4 → 75
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))
11.0ms
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1494 to 541 computations (63.8% saved)

series153.0ms (4.2%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

76.0ms
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))
36.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))
16.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 907 to 707 computations (22.1% saved)

simplify137.0ms (3.8%)

Algorithm
egg-herbie
Rules
335×*-commutative_binary64
332×exp-prod_binary64
308×distribute-lft-neg-out_binary64
307×distribute-rgt-neg-out_binary64
282×distribute-rgt-in_binary64
279×distribute-lft-in_binary64
273×log-prod_binary64
267×unswap-sqr_binary64
166×associate-*l*_binary64
152×associate-*r*_binary64
142×distribute-rgt-neg-in_binary64
120×distribute-lft-neg-in_binary64
88×sqr-pow_binary64
84×neg-sub0_binary64
76×neg-mul-1_binary64
74×times-frac_binary64
67×cancel-sign-sub-inv_binary64
63×unsub-neg_binary64
62×distribute-neg-frac_binary64
60×cube-prod_binary64
50×associate-/l*_binary64
49×sub-neg_binary64
45×exp-sum_binary64 associate-*l/_binary64
44×associate-*r/_binary64
37×*-rgt-identity_binary64
36×*-lft-identity_binary64
33×distribute-neg-in_binary64
31×div-sub_binary64
29×swap-sqr_binary64
25×associate-+l+_binary64
22×associate-/r*_binary64
21×unpow3_binary64
17×log-pow_binary64
16×exp-diff_binary64
15×pow-sqr_binary64 associate-+r+_binary64
14×remove-double-neg_binary64 +-commutative_binary64
13×distribute-neg-out_binary64
12×pow-plus_binary64
10×distribute-rgt-out_binary64
cube-unmult_binary64 mul-1-neg_binary64 associate-/r/_binary64 associate-+l-_binary64
cube-mult_binary64 fabs-mul_binary64 sub0-neg_binary64
sqr-neg_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64
exp-neg_binary64 distribute-rgt1-in_binary64
unpow1/2_binary64 associate-/l/_binary64
cube-neg_binary64 fabs-sqr_binary64 difference-of-sqr-1_binary64
unpow1/3_binary64 +-rgt-identity_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r+_binary64 associate-+r-_binary64
unpow2_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 div0_binary64 distribute-lft-out--_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
111 → 76
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091654
12571199
29021170
322521170
445401170
549541170
649241170

prune30.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783
Error
0.0b
Counts
83 → 7
Compiler

Compiled 663 to 282 computations (57.5% saved)

regimes663.0ms (18.3%)

Accuracy

Total 1.1b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 8895 to 6271 computations (29.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
11740
22240
32440
42540
52540

end1.0ms (0%)

Compiler

Compiled 25 to 12 computations (52% saved)

sample698.0ms (19.3%)

Algorithm
intervals
Results
221.0ms8000×body128valid
24.0ms755×body128invalid
Compiler

Compiled 171 to 121 computations (29.2% saved)

Profiling

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