Details

Time bar (total: 3.7s)

analyze348.0ms (9.4%)

Algorithm
search
egg-herbie
Rules
30×+-commutative_binary64
16×*-commutative_binary64
14×associate-+l+_binary64 associate-+r+_binary64
distribute-rgt-out_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02052
14552
27752
39452
49852
58752
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
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
6.0ms243×body128valid
1.0msbody1024valid
0.0ms18×body128invalid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
associate-+l+_binary64 associate-+r+_binary64
distribute-rgt-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11913
22513
33113
43313
53113

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 9 to 8 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
associate-+l+_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 +-commutative_binary64
Counts
1 → 13
Calls

1 calls:

7.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
Compiler

Compiled 242 to 110 computations (54.5% saved)

series85.0ms (2.3%)

Error
0.1b
Counts
1 → 18
Calls

1 calls:

77.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
Compiler

Compiled 282 to 231 computations (18.1% saved)

simplify102.0ms (2.8%)

Algorithm
egg-herbie
Rules
367×*-commutative_binary64
361×unsub-neg_binary64
335×associate--r+_binary64
327×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
296×distribute-rgt-out_binary64
268×cancel-sign-sub-inv_binary64
248×associate-*l*_binary64
232×distribute-lft-out_binary64
230×sub-neg_binary64
213×associate--l+_binary64
200×associate-+l-_binary64
193×distribute-rgt-neg-in_binary64
181×associate-*r*_binary64
161×neg-mul-1_binary64
152×distribute-lft-neg-in_binary64
141×+-commutative_binary64
126×unswap-sqr_binary64
120×distribute-neg-in_binary64 associate-+r-_binary64
119×distribute-rgt-out--_binary64
105×neg-sub0_binary64
72×sub0-neg_binary64
60×associate--r-_binary64
58×associate-+l+_binary64
56×sqr-pow_binary64
52×distribute-lft-neg-out_binary64
51×associate-+r+_binary64
44×+-rgt-identity_binary64
37×associate--l-_binary64
36×exp-prod_binary64 exp-sum_binary64 distribute-lft-out--_binary64
30×pow-sqr_binary64
28×exp-diff_binary64
18×--rgt-identity_binary64
17×cube-prod_binary64
15×remove-double-neg_binary64 distribute-rgt-neg-out_binary64
12×div-sub_binary64
11×unpow3_binary64
swap-sqr_binary64 distribute-neg-out_binary64
cube-unmult_binary64 cube-mult_binary64 cancel-sign-sub_binary64
associate-/l/_binary64
sqr-neg_binary64
pow-plus_binary64 cube-neg_binary64 difference-of-squares_binary64 associate-*r/_binary64
prod-exp_binary64 associate-/l*_binary64
exp-neg_binary64 1-exp_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 +-inverses_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 unpow2_binary64 unpow1/2_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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-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-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate-/r*_binary64
Counts
31 → 22
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044441
1129414
2458408
31711408
42519408
54716408
64764408
75011408

prune12.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New19322
Fresh000
Picked011
Done000
Total19423
Error
0.0b
Counts
23 → 4
Compiler

Compiled 241 to 124 computations (48.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 z (*.f64 z 25))
0.3b
(*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
2.3b
(-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25)))
26.0b
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25))) (-.f64 (*.f64 x (+.f64 z y)) (*.f64 5 z)))

rewrite168.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
48×pow1_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
20×pow-prod-down_binary64
14×associate-*r/_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
11×prod-exp_binary64 cbrt-unprod_binary64
times-frac_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
add-log-exp_binary64 flip3-+_binary64 flip-+_binary64
associate--l+_binary64 pow-prod-up_binary64 frac-times_binary64 pow-sqr_binary64 associate-*l*_binary64
flip3--_binary64 flip--_binary64 associate-/l*_binary64 associate-/r*_binary64
associate-/l/_binary64 associate-/r/_binary64 pow-plus_binary64 associate-*l/_binary64 associate-*r*_binary64 *-commutative_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 pow2_binary64 swap-sqr_binary64
Counts
4 → 112
Calls

4 calls:

24.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25))) (-.f64 (*.f64 x (+.f64 z y)) (*.f64 5 z)))
18.0ms
(-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25)))
12.0ms
(*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
5.0ms
(*.f64 z (*.f64 z 25))
Compiler

Compiled 4041 to 1343 computations (66.8% saved)

series381.0ms (10.3%)

Error
0.0b
Counts
4 → 66
Calls

4 calls:

144.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25))) (-.f64 (*.f64 x (+.f64 z y)) (*.f64 5 z)))
130.0ms
(-.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 z (*.f64 z 25)))
66.0ms
(*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
8.0ms
(*.f64 z (*.f64 z 25))
Compiler

Compiled 4232 to 3039 computations (28.2% saved)

simplify164.0ms (4.4%)

Algorithm
egg-herbie
Rules
381×cancel-sign-sub-inv_binary64
335×associate-*l*_binary64
324×associate-*r*_binary64
218×associate-/l*_binary64
199×unswap-sqr_binary64
167×*-commutative_binary64
158×distribute-rgt-in_binary64
151×div-sub_binary64 distribute-lft-in_binary64
148×exp-prod_binary64
124×sub-neg_binary64
91×times-frac_binary64
85×swap-sqr_binary64 +-commutative_binary64
73×sqr-pow_binary64
54×neg-sub0_binary64
52×associate-/r*_binary64
51×neg-mul-1_binary64
49×log-prod_binary64
39×associate-+l+_binary64 associate-+r+_binary64
35×cube-prod_binary64 associate-/r/_binary64
34×unpow3_binary64
33×associate--l+_binary64
32×associate-*l/_binary64
31×associate-*r/_binary64
30×log-div_binary64
27×distribute-rgt-neg-in_binary64
25×exp-sum_binary64
22×distribute-lft-neg-in_binary64
18×unsub-neg_binary64 associate--r+_binary64
17×associate-/l/_binary64
16×pow-plus_binary64 cube-div_binary64 difference-of-squares_binary64
11×log-rec_binary64 distribute-neg-in_binary64
10×cube-mult_binary64 pow-sqr_binary64 distribute-rgt-out_binary64
log-pow_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64
cube-unmult_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 distribute-lft-neg-out_binary64 associate-+r-_binary64
+-rgt-identity_binary64 *-inverses_binary64
exp-diff_binary64
rem-sqrt-square_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 count-2_binary64
mul-1-neg_binary64 remove-double-neg_binary64 distribute-neg-frac_binary64 associate--r-_binary64
div-exp_binary64 1-exp_binary64 *-lft-identity_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 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-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 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-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--l-_binary64
Counts
178 → 161
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02924900
18454420
233274170
348934009
450204009

prune97.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1583161
Fresh202
Picked011
Done011
Total1605165
Error
0.0b
Counts
165 → 5
Compiler

Compiled 2987 to 1334 computations (55.3% saved)

localize26.0ms (0.7%)

Local error

Found 4 expressions with local error:

5.5b
(*.f64 y (pow.f64 x 3))
6.5b
(/.f64 (*.f64 x (*.f64 x y)) (-.f64 x 5))
8.6b
(*.f64 z (*.f64 x x))
11.5b
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 x 5) 2))

rewrite239.0ms (6.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
49×add-exp-log_binary64
31×add-sqr-sqrt_binary64
25×add-cbrt-cube_binary64
23×*-un-lft-identity_binary64
18×prod-exp_binary64
15×div-exp_binary64 add-cube-cbrt_binary64 times-frac_binary64 associate-/r*_binary64
14×unpow-prod-down_binary64
13×associate-*r*_binary64
pow1_binary64
pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64
associate-*l*_binary64
cbrt-undiv_binary64 unswap-sqr_binary64
add-log-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sqr-pow_binary64 cube-prod_binary64
pow-prod-down_binary64
frac-2neg_binary64 unpow2_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 *-commutative_binary64 associate-/r/_binary64
flip3--_binary64 flip--_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 124
Calls

4 calls:

10.0ms
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 x 5) 2))
9.0ms
(/.f64 (*.f64 x (*.f64 x y)) (-.f64 x 5))
9.0ms
(*.f64 z (*.f64 x x))
6.0ms
(*.f64 y (pow.f64 x 3))
Compiler

Compiled 6332 to 3899 computations (38.4% saved)

series167.0ms (4.5%)

Error
0.0b
Counts
4 → 34
Calls

4 calls:

44.0ms
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 x 5) 2))
41.0ms
(/.f64 (*.f64 x (*.f64 x y)) (-.f64 x 5))
29.0ms
(*.f64 y (pow.f64 x 3))
26.0ms
(*.f64 z (*.f64 x x))
Compiler

Compiled 3759 to 2710 computations (27.9% saved)

simplify117.0ms (3.2%)

Algorithm
egg-herbie
Rules
709×associate-/r/_binary64
253×log-prod_binary64
234×associate-*r*_binary64
230×associate-*l*_binary64
216×associate-/l*_binary64
185×times-frac_binary64
158×unswap-sqr_binary64
141×log-div_binary64
139×associate-/r*_binary64
97×*-commutative_binary64
82×distribute-rgt-neg-in_binary64
81×associate-*l/_binary64
72×distribute-lft-neg-in_binary64
64×associate-/l/_binary64 associate-*r/_binary64
62×cancel-sign-sub-inv_binary64 distribute-rgt-in_binary64
57×distribute-lft-in_binary64
54×sqr-pow_binary64
52×associate-+l+_binary64
51×sub-neg_binary64
46×div-sub_binary64
43×cube-prod_binary64
42×exp-prod_binary64
40×*-rgt-identity_binary64
39×swap-sqr_binary64
36×+-commutative_binary64
35×cube-div_binary64
29×distribute-neg-frac_binary64 associate--l+_binary64
28×distribute-rgt-out_binary64
27×associate-+l-_binary64
23×log-pow_binary64
22×neg-mul-1_binary64 neg-sub0_binary64 /-rgt-identity_binary64
17×associate--l-_binary64 associate-+r-_binary64
15×cube-unmult_binary64 associate--r+_binary64
14×*-lft-identity_binary64
11×log-rec_binary64 associate-+r+_binary64
10×pow-plus_binary64 pow-sqr_binary64
distribute-neg-in_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64
distribute-rgt-out--_binary64
rem-sqrt-square_binary64 unsub-neg_binary64
unpow3_binary64 cube-mult_binary64 distribute-lft-neg-out_binary64
rem-square-sqrt_binary64 count-2_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 *-inverses_binary64 distribute-rgt-neg-out_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64
Counts
158 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02432410
15702092
223612066
348032066
450282066

prune132.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128
Error
0.0b
Counts
128 → 5
Compiler

Compiled 4002 to 2470 computations (38.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x 5) z)
9.4b
(/.f64 (-.f64 (*.f64 x x) 25) (*.f64 1 (/.f64 (-.f64 x 5) z)))

rewrite83.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
19×times-frac_binary64
18×add-exp-log_binary64
14×add-cube-cbrt_binary64
13×add-cbrt-cube_binary64
associate-/l*_binary64
div-exp_binary64
difference-of-squares_binary64
cbrt-undiv_binary64
prod-exp_binary64 associate-/l/_binary64 associate-/r*_binary64 distribute-lft-out--_binary64
pow1_binary64 1-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
associate-*r/_binary64 associate-/r/_binary64
Counts
2 → 69
Calls

2 calls:

12.0ms
(/.f64 (-.f64 (*.f64 x x) 25) (*.f64 1 (/.f64 (-.f64 x 5) z)))
6.0ms
(/.f64 (-.f64 x 5) z)
Compiler

Compiled 1376 to 885 computations (35.7% saved)

series62.0ms (1.7%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

31.0ms
(/.f64 (-.f64 (*.f64 x x) 25) (*.f64 1 (/.f64 (-.f64 x 5) z)))
21.0ms
(/.f64 (-.f64 x 5) z)
Compiler

Compiled 425 to 377 computations (11.3% saved)

simplify91.0ms (2.5%)

Algorithm
egg-herbie
Rules
531×div-sub_binary64
436×times-frac_binary64
296×distribute-rgt-in_binary64
287×associate-*l/_binary64
286×associate-/l*_binary64
283×distribute-lft-in_binary64
267×associate-*l*_binary64
245×associate-/r/_binary64
244×associate-*r*_binary64
221×associate-/l/_binary64
212×associate-/r*_binary64
209×associate-*r/_binary64
109×exp-prod_binary64
55×sub-neg_binary64
46×cube-prod_binary64
42×log-div_binary64
38×log-prod_binary64 exp-sum_binary64
37×*-commutative_binary64
34×cube-div_binary64
27×neg-sub0_binary64 distribute-neg-frac_binary64
25×neg-mul-1_binary64 distribute-neg-in_binary64
21×/-rgt-identity_binary64 +-commutative_binary64
18×distribute-rgt-neg-in_binary64
17×cancel-sign-sub-inv_binary64
16×distribute-lft-neg-in_binary64
15×*-lft-identity_binary64
13×exp-diff_binary64 *-rgt-identity_binary64 sqr-pow_binary64
12×distribute-lft-neg-out_binary64
11×unswap-sqr_binary64
10×distribute-rgt-neg-out_binary64 associate--r+_binary64 associate-+l+_binary64
swap-sqr_binary64 associate--r-_binary64 associate--l+_binary64
cube-unmult_binary64 distribute-rgt-out_binary64 associate--l-_binary64 associate-+r+_binary64
log-rec_binary64 unpow3_binary64
cube-mult_binary64 sqr-neg_binary64 unsub-neg_binary64 remove-double-neg_binary64 +-lft-identity_binary64
pow-plus_binary64 cube-neg_binary64 mul-1-neg_binary64
unpow1/2_binary64 exp-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 associate-+l-_binary64 associate-+r-_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 *-inverses_binary64 remove-double-div_binary64 pow-sqr_binary64 distribute-rgt-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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
87 → 57
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551436
13491237
210511219
340651219
455371219

prune36.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New56157
Fresh101
Picked011
Done123
Total58462
Error
0.0b
Counts
62 → 4
Compiler

Compiled 584 to 368 computations (37% saved)

regimes618.0ms (16.7%)

Accuracy

Total 0.0b remaining (72.7%)

Threshold costs 0.0b (72.7%)

Compiler

Compiled 9824 to 6838 computations (30.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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
0913
11313
21313

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample686.0ms (18.6%)

Algorithm
intervals
Results
225.0ms7698×body128valid
18.0ms641×body128invalid
15.0ms149×body1024valid
11.0ms93×body512valid
3.0ms59×body256valid
0.0msbody2048valid
Compiler

Compiled 114 to 108 computations (5.3% saved)

Profiling

Loading profile data...