Details

Time bar (total: 3.3s)

analyze338.0ms (10.3%)

Algorithm
search
egg-herbie
Rules
943×associate--r-_binary64
577×associate--l-_binary64
492×sub-neg_binary64
480×distribute-rgt-in_binary64
408×distribute-lft-in_binary64
390×associate--r+_binary64
379×unsub-neg_binary64
332×*-commutative_binary64
316×+-commutative_binary64
306×distribute-neg-in_binary64
289×associate--l+_binary64
258×distribute-rgt-out--_binary64
215×cancel-sign-sub-inv_binary64
144×neg-sub0_binary64
132×neg-mul-1_binary64
120×associate-*r*_binary64
111×associate-*l*_binary64
96×associate-+l-_binary64
84×distribute-rgt-neg-in_binary64
73×distribute-lft-neg-out_binary64
67×associate-+r-_binary64
60×mul-1-neg_binary64
58×distribute-rgt-neg-out_binary64
53×distribute-lft-neg-in_binary64
48×distribute-neg-out_binary64
34×associate-+l+_binary64
29×remove-double-neg_binary64 associate-+r+_binary64
27×--rgt-identity_binary64
24×log-prod_binary64 sub0-neg_binary64
16×+-rgt-identity_binary64
14×*-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
11×*-lft-identity_binary64
10×distribute-lft-out--_binary64
distribute-rgt-out_binary64
distribute-rgt1-in_binary64
1-exp_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 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
14248
29148
320748
433148
567348
6100748
7172348
8231048
9237448
10249648
11258148
12258748
13260348
14260748
15513948
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample24.0ms (0.7%)

Algorithm
intervals
Results
14.0ms255×body128valid
0.0msbody1024valid
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify322.0ms (9.9%)

Algorithm
egg-herbie
Rules
3341×associate--r-_binary64
940×distribute-rgt-in_binary64
897×unsub-neg_binary64
773×distribute-lft-in_binary64
394×sub-neg_binary64
359×distribute-neg-in_binary64
242×+-commutative_binary64
183×associate-+r-_binary64
171×cancel-sign-sub-inv_binary64
165×associate-*l*_binary64
155×associate-+l-_binary64
152×*-commutative_binary64
143×associate--l-_binary64
140×neg-sub0_binary64
135×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64
124×associate-+r+_binary64
123×associate-*r*_binary64
118×distribute-rgt-out_binary64
115×distribute-neg-out_binary64 associate-+l+_binary64
112×distribute-lft-neg-in_binary64
108×neg-mul-1_binary64
106×associate--r+_binary64
83×distribute-rgt-out--_binary64
79×associate--l+_binary64
59×*-rgt-identity_binary64 *-lft-identity_binary64
52×mul0-rgt_binary64 mul0-lft_binary64
43×distribute-lft-out--_binary64
32×remove-double-neg_binary64
17×--rgt-identity_binary64 distribute-lft-out_binary64
14×distribute-rgt1-in_binary64
13×+-rgt-identity_binary64
12×sub0-neg_binary64
log-prod_binary64
mul-1-neg_binary64 distribute-lft1-in_binary64
count-2_binary64
+-lft-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 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11512
23212
36712
410812
518512
628112
779312
8197912
9199512
10228512
11249112
12261312
13266012
14266012
15267712
16268112
17268112
18306912
19332912
20323212
21330212
22325012
23324812
24324812
25324812
26578612

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 8 to 7 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.0b
(-.f64 (*.f64 x (log.f64 y)) z)
0.3b
(*.f64 x (log.f64 y))

rewrite83.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×associate--l+_binary64
18×add-sqr-sqrt_binary64 log-prod_binary64
16×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64
10×add-log-exp_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 cancel-sign-sub-inv_binary64
pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 diff-log_binary64
associate-*l*_binary64 sub-neg_binary64
flip3--_binary64 flip--_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 log-pow_binary64 *-commutative_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate--l-_binary64
Counts
3 → 73
Calls

3 calls:

8.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms
(*.f64 x (log.f64 y))
5.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
Compiler

Compiled 1043 to 282 computations (73% saved)

series140.0ms (4.3%)

Error
0.1b
Counts
3 → 38
Calls

3 calls:

49.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
47.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
28.0ms
(*.f64 x (log.f64 y))
Compiler

Compiled 632 to 529 computations (16.3% saved)

simplify99.0ms (3%)

Algorithm
egg-herbie
Rules
381×associate-+l+_binary64
325×associate-*l*_binary64
295×associate-*r*_binary64
284×distribute-lft-neg-out_binary64
275×distribute-rgt-neg-out_binary64
209×cancel-sign-sub-inv_binary64
160×exp-prod_binary64
144×sub-neg_binary64
139×distribute-rgt-in_binary64
136×distribute-lft-in_binary64
134×unsub-neg_binary64
115×associate--r+_binary64
87×*-commutative_binary64
84×associate-+l-_binary64
80×log-prod_binary64 associate-+r-_binary64
75×exp-sum_binary64
67×distribute-rgt-out_binary64
66×sqr-pow_binary64
57×distribute-neg-in_binary64
56×neg-sub0_binary64
52×+-commutative_binary64
50×associate--r-_binary64
48×unswap-sqr_binary64 associate--l+_binary64
47×exp-diff_binary64
46×neg-mul-1_binary64 distribute-lft-neg-in_binary64
44×distribute-rgt-neg-in_binary64
43×distribute-lft-out_binary64
42×associate-+r+_binary64
27×*-lft-identity_binary64 swap-sqr_binary64
26×cube-prod_binary64
25×difference-of-squares_binary64
23×*-rgt-identity_binary64 associate--l-_binary64
22×associate-/l*_binary64
21×exp-to-pow_binary64 sub0-neg_binary64
19×unpow3_binary64 +-rgt-identity_binary64
18×log-div_binary64
15×mul0-rgt_binary64 mul0-lft_binary64 associate-/r*_binary64
10×mul-1-neg_binary64 distribute-neg-out_binary64
pow-plus_binary64 cube-unmult_binary64
sqr-neg_binary64 remove-double-neg_binary64 pow-sqr_binary64
times-frac_binary64
associate-*r/_binary64
log-rec_binary64 div-exp_binary64 cube-mult_binary64 cube-neg_binary64 div-sub_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64
log-pow_binary64 prod-exp_binary64 cancel-sign-sub_binary64
unpow1/2_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64
exp-lft-cube_binary64 exp-lft-sqr_binary64 rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 --rgt-identity_binary64 +-inverses_binary64 distribute-frac-neg_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 +-lft-identity_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-frac_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
111 → 84
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01451216
12961173
27101160
321241160
448711160
549841160

prune45.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh000
Picked011
Done000
Total81485
Error
0.0b
Counts
85 → 4
Compiler

Compiled 707 to 208 computations (70.6% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite101.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64 log-prod_binary64 associate-+r+_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
pow1/3_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 64
Calls

4 calls:

8.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1494 to 604 computations (59.6% saved)

series159.0ms (4.9%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

58.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
57.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms
(cbrt.f64 y)
17.0ms
(cbrt.f64 y)
Compiler

Compiled 810 to 659 computations (18.6% saved)

simplify121.0ms (3.7%)

Algorithm
egg-herbie
Rules
380×distribute-rgt-out_binary64
378×cancel-sign-sub-inv_binary64
360×*-commutative_binary64
268×distribute-rgt-neg-in_binary64
250×log-prod_binary64
242×distribute-lft-neg-in_binary64
182×distribute-rgt-in_binary64
163×distribute-lft-in_binary64
162×exp-prod_binary64
159×exp-sum_binary64
133×associate-*l*_binary64
132×associate-*r*_binary64
130×distribute-neg-in_binary64
117×associate--l+_binary64
115×count-2_binary64
111×distribute-lft-out_binary64
110×log-div_binary64
93×log-pow_binary64
84×sqr-pow_binary64 distribute-rgt-out--_binary64
70×exp-to-pow_binary64
66×unswap-sqr_binary64
63×sub-neg_binary64
62×cube-prod_binary64
58×swap-sqr_binary64
47×neg-sub0_binary64 distribute-lft-out--_binary64 +-commutative_binary64
46×neg-mul-1_binary64 distribute-lft-neg-out_binary64
42×associate-/r*_binary64
28×exp-diff_binary64 distribute-rgt1-in_binary64
24×associate-+l+_binary64
23×distribute-rgt-neg-out_binary64 associate-/l*_binary64
20×associate-+r+_binary64
19×associate--r-_binary64
17×unpow3_binary64
16×distribute-lft1-in_binary64 associate-/l/_binary64
15×log-rec_binary64 unsub-neg_binary64 pow-sqr_binary64
cube-mult_binary64
unpow1/3_binary64
prod-exp_binary64 div-sub_binary64 associate-+r-_binary64
exp-lft-sqr_binary64 +-rgt-identity_binary64 associate-*r/_binary64 associate-+l-_binary64
cube-unmult_binary64
pow-plus_binary64 exp-neg_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 associate--l-_binary64
exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 sub0-neg_binary64 associate--r+_binary64
unpow1_binary64 associate-/r/_binary64
unpow1/2_binary64 exp-lft-cube_binary64 1-exp_binary64 rem-exp-log_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 distribute-neg-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow2_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 *-lft-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-neg-frac_binary64 distribute-frac-neg_binary64 associate-*l/_binary64
Counts
82 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01241194
1293967
2909805
32413797
44289775
54915775
64881775

prune59.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh112
Picked011
Done011
Total58664
Error
0.0b
Counts
64 → 6
Compiler

Compiled 851 to 400 computations (53% saved)

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
6.0b
(pow.f64 y 2/3)

rewrite97.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×cbrt-prod_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
unpow-prod-down_binary64 pow-unpow_binary64 pow1/3_binary64
pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 53
Calls

4 calls:

2.0ms
(pow.f64 y 2/3)
2.0ms
(cbrt.f64 (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1407 to 727 computations (48.3% saved)

series87.0ms (2.7%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt.f64 (cbrt.f64 y))
20.0ms
(cbrt.f64 y)
18.0ms
(cbrt.f64 y)
17.0ms
(pow.f64 y 2/3)
Compiler

Compiled 834 to 657 computations (21.2% saved)

simplify72.0ms (2.2%)

Algorithm
egg-herbie
Rules
698×unswap-sqr_binary64
489×log-prod_binary64
268×log-div_binary64
241×associate-/r*_binary64
224×associate-*l*_binary64
180×associate-*r*_binary64
168×distribute-rgt-in_binary64
150×distribute-lft-in_binary64
130×distribute-rgt-neg-in_binary64
126×distribute-lft-neg-in_binary64
117×associate-+r+_binary64
107×sqr-pow_binary64
95×associate-+l+_binary64
73×exp-prod_binary64
65×associate--r+_binary64
63×cancel-sign-sub-inv_binary64
62×associate-/l/_binary64
61×swap-sqr_binary64
50×log-pow_binary64
42×cube-prod_binary64
40×distribute-neg-in_binary64
37×*-commutative_binary64
35×exp-sum_binary64
30×pow-sqr_binary64
24×associate-/l*_binary64
23×neg-sub0_binary64 distribute-rgt-out_binary64
22×sub-neg_binary64
21×neg-mul-1_binary64
20×cube-unmult_binary64
18×pow-plus_binary64
14×distribute-lft-out_binary64
13×distribute-rgt-neg-out_binary64
12×distribute-lft-neg-out_binary64
10×exp-diff_binary64 rem-sqrt-square_binary64 count-2_binary64 associate--r-_binary64
unpow1/3_binary64 div-sub_binary64
associate-*r/_binary64
unsub-neg_binary64
associate--l-_binary64
unpow3_binary64 pow-base-1_binary64
exp-to-pow_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 +-lft-identity_binary64 associate-*l/_binary64 associate-+l-_binary64 +-commutative_binary64
log-rec_binary64 exp-neg_binary64 rem-exp-log_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 sub0-neg_binary64 associate-/r/_binary64 associate--l+_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 cube-mult_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-inverses_binary64 distribute-neg-out_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 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 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 /-rgt-identity_binary64 --rgt-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
65 → 34
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070437
1127417
2301409
31200407
44604407
55423407

prune26.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New34034
Fresh033
Picked011
Done022
Total34640
Error
0.0b
Counts
40 → 6
Compiler

Compiled 475 to 265 computations (44.2% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
0.3b
(*.f64 x (*.f64 (log.f64 y) 5/6))
0.3b
(*.f64 (log.f64 y) 5/6)
0.6b
(cbrt.f64 y)

rewrite96.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×pow1_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
cbrt-prod_binary64
*-commutative_binary64
pow1/3_binary64 unswap-sqr_binary64 log-pow_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
4 → 59
Calls

4 calls:

6.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
5.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))
4.0ms
(*.f64 (log.f64 y) 5/6)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1294 to 574 computations (55.6% saved)

series162.0ms (5%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

81.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x))
33.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))
18.0ms
(cbrt.f64 y)
14.0ms
(*.f64 (log.f64 y) 5/6)
Compiler

Compiled 941 to 731 computations (22.3% saved)

simplify100.0ms (3.1%)

Algorithm
egg-herbie
Rules
375×cancel-sign-sub-inv_binary64
362×*-commutative_binary64
286×distribute-rgt-in_binary64
269×distribute-lft-in_binary64
249×distribute-neg-in_binary64
247×distribute-rgt-neg-out_binary64
145×associate-*l*_binary64
142×associate-*r*_binary64
135×log-prod_binary64
133×exp-sum_binary64
95×sub-neg_binary64
90×sqr-pow_binary64
89×distribute-rgt-neg-in_binary64
87×distribute-rgt-out_binary64
82×unsub-neg_binary64
79×exp-prod_binary64
76×distribute-lft-neg-in_binary64
74×log-div_binary64
73×unswap-sqr_binary64
69×neg-sub0_binary64
68×neg-mul-1_binary64
63×cube-prod_binary64
46×log-pow_binary64
38×swap-sqr_binary64
36×distribute-lft-out_binary64 associate-/r*_binary64
31×associate-+l+_binary64
29×distribute-rgt-out--_binary64 associate-+r+_binary64 +-commutative_binary64
25×exp-to-pow_binary64
24×exp-diff_binary64
18×distribute-lft-neg-out_binary64
16×associate-+r-_binary64
14×pow-sqr_binary64 associate--r+_binary64
13×div-sub_binary64
12×*-rgt-identity_binary64
11×log-rec_binary64 +-rgt-identity_binary64
10×remove-double-neg_binary64
unpow3_binary64 distribute-lft-out--_binary64 associate-+l-_binary64
cube-unmult_binary64 *-lft-identity_binary64
cube-mult_binary64
rem-sqrt-square_binary64
sub0-neg_binary64 associate--l+_binary64
pow-plus_binary64 exp-neg_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64
difference-of-squares_binary64 associate-/l*_binary64
unpow1/3_binary64 rem-exp-log_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
log-E_binary64 unpow1/2_binary64 rec-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 --rgt-identity_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 pow-base-0_binary64 unpow2_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 /-rgt-identity_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-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
77 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371056
1325875
2988858
32826858
44951858
54936858

prune45.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New52052
Fresh022
Picked011
Done033
Total52658
Error
0.0b
Counts
58 → 6
Compiler

Compiled 744 to 326 computations (56.2% saved)

regimes267.0ms (8.1%)

Accuracy

Total 0.1b remaining (86.4%)

Threshold costs 0.1b (86.4%)

Compiler

Compiled 2726 to 2124 computations (22.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_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 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
0812
11312
22112
32512
42712
52712

end1.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample757.0ms (23.1%)

Algorithm
intervals
Results
334.0ms7998×body128valid
1.0ms35×body128invalid
1.0ms35×body128nan
0.0msbody1024valid
Compiler

Compiled 119 to 105 computations (11.8% saved)

Profiling

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