Details

Time bar (total: 2.1s)

analyze46.0ms (2.2%)

Algorithm
search
egg-herbie
Rules
127×cancel-sign-sub-inv_binary64
85×distribute-rgt-in_binary64
63×associate-*l*_binary64
60×distribute-lft-in_binary64
55×associate-*r*_binary64
46×sub-neg_binary64
40×distribute-rgt-neg-in_binary64
34×unsub-neg_binary64
32×distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
26×neg-sub0_binary64
25×distribute-rgt-neg-out_binary64
24×neg-mul-1_binary64 +-lft-identity_binary64 associate--r+_binary64
20×associate-+l-_binary64
19×distribute-neg-in_binary64
17×sub0-neg_binary64
15×*-commutative_binary64
10×mul0-rgt_binary64 mul0-lft_binary64
distribute-rgt-out--_binary64
*-lft-identity_binary64 +-commutative_binary64
--rgt-identity_binary64
remove-double-neg_binary64
swap-sqr_binary64 associate-+r+_binary64
*-rgt-identity_binary64
associate--l+_binary64 associate-+l+_binary64
sqr-neg_binary64 +-rgt-identity_binary64 associate-+r-_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_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--r-_binary64 associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
24010
38710
414610
519510
624410
737910
836710
942610
1053310
1153010
1252410
1352410
1440510
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
6.0ms230×body128valid
2.0ms19×body1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify32.0ms (1.5%)

Algorithm
egg-herbie
Rules
127×cancel-sign-sub-inv_binary64
85×distribute-rgt-in_binary64
63×associate-*l*_binary64
60×distribute-lft-in_binary64
55×associate-*r*_binary64
46×sub-neg_binary64
40×distribute-rgt-neg-in_binary64
34×unsub-neg_binary64
32×distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
26×neg-sub0_binary64
25×distribute-rgt-neg-out_binary64
24×neg-mul-1_binary64 +-lft-identity_binary64 associate--r+_binary64
20×associate-+l-_binary64
19×distribute-neg-in_binary64
17×sub0-neg_binary64
15×*-commutative_binary64
10×mul0-rgt_binary64 mul0-lft_binary64
distribute-rgt-out--_binary64
*-lft-identity_binary64 +-commutative_binary64
--rgt-identity_binary64
remove-double-neg_binary64
swap-sqr_binary64 associate-+r+_binary64
*-rgt-identity_binary64
associate--l+_binary64 associate-+l+_binary64
sqr-neg_binary64 +-rgt-identity_binary64 associate-+r-_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_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--r-_binary64 associate--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11813
24010
38710
414610
519510
624410
737910
836710
942610
1053310
1153010
1252410
1352410
1440510

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 6 (*.f64 x -9))
0.1b
(*.f64 x (+.f64 6 (*.f64 x -9)))

rewrite50.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64 associate-*r*_binary64
flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 6 (*.f64 x -9)))
3.0ms
(+.f64 6 (*.f64 x -9))
Compiler

Compiled 458 to 353 computations (22.9% saved)

series31.0ms (1.5%)

Error
0.1b
Counts
2 → 12
Calls

2 calls:

15.0ms
(*.f64 x (+.f64 6 (*.f64 x -9)))
9.0ms
(+.f64 6 (*.f64 x -9))
Compiler

Compiled 154 to 132 computations (14.3% saved)

simplify82.0ms (4%)

Algorithm
egg-herbie
Rules
717×unsub-neg_binary64
301×distribute-neg-out_binary64
263×times-frac_binary64 *-commutative_binary64
256×neg-mul-1_binary64
252×neg-sub0_binary64
223×unswap-sqr_binary64
201×distribute-rgt-in_binary64
192×distribute-lft-in_binary64
176×distribute-rgt-neg-out_binary64
172×associate-+l+_binary64
162×associate-+r+_binary64
150×sqr-pow_binary64
148×distribute-lft-neg-out_binary64
133×rem-sqrt-square_binary64
109×exp-prod_binary64
100×cancel-sign-sub-inv_binary64
87×distribute-rgt-neg-in_binary64
80×associate-*l*_binary64
76×sub-neg_binary64
67×associate-*r*_binary64
63×cube-prod_binary64
57×distribute-lft-neg-in_binary64
52×+-commutative_binary64
36×remove-double-neg_binary64
34×pow-sqr_binary64 swap-sqr_binary64
33×exp-sum_binary64
32×log-prod_binary64
30×*-lft-identity_binary64
29×*-rgt-identity_binary64
23×exp-diff_binary64 div-sub_binary64
22×distribute-rgt-out_binary64
15×unpow3_binary64
14×associate-+l-_binary64
13×sub0-neg_binary64
12×unpow1/2_binary64
11×cube-neg_binary64
10×cube-mult_binary64 sqr-neg_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 associate-/l*_binary64
distribute-neg-frac_binary64 associate-+r-_binary64
pow-plus_binary64 cube-unmult_binary64
log-pow_binary64 +-rgt-identity_binary64 associate--l-_binary64
distribute-neg-in_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l+_binary64
prod-exp_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r+_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 /-rgt-identity_binary64 distribute-lft-out--_binary64 associate-/l/_binary64 associate-/r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_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 exp-neg_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 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
45 → 37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066542
1181485
2558482
31377482
42561482
54670482
65235482

prune32.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh011
Picked011
Done000
Total32739
Error
0.0b
Counts
39 → 7
Compiler

Compiled 429 to 332 computations (22.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 6 x) (*.f64 (*.f64 x x) -9))
0.2b
(*.f64 (*.f64 x x) -9)

rewrite43.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x x) -9)
4.0ms
(+.f64 (*.f64 6 x) (*.f64 (*.f64 x x) -9))
Compiler

Compiled 467 to 292 computations (37.5% saved)

series23.0ms (1.1%)

Error
0.0b
Counts
2 → 9
Calls

2 calls:

13.0ms
(+.f64 (*.f64 6 x) (*.f64 (*.f64 x x) -9))
7.0ms
(*.f64 (*.f64 x x) -9)
Compiler

Compiled 147 to 130 computations (11.6% saved)

simplify87.0ms (4.2%)

Algorithm
egg-herbie
Rules
879×unsub-neg_binary64
285×*-commutative_binary64
259×distribute-rgt-in_binary64
238×distribute-lft-in_binary64
235×distribute-lft-out_binary64
215×distribute-rgt-neg-in_binary64
190×cancel-sign-sub-inv_binary64
184×neg-sub0_binary64
182×neg-mul-1_binary64
154×distribute-lft-neg-in_binary64
148×associate-+l+_binary64
141×associate-+r+_binary64
120×times-frac_binary64
119×distribute-rgt-out_binary64
117×sub-neg_binary64
101×distribute-lft-neg-out_binary64
99×exp-prod_binary64
96×associate-*l*_binary64
91×cube-prod_binary64
85×distribute-rgt-neg-out_binary64
83×unswap-sqr_binary64
79×log-prod_binary64
77×associate-*r*_binary64
65×sqr-pow_binary64
56×+-commutative_binary64
50×distribute-rgt-out--_binary64
39×distribute-lft-out--_binary64
27×rem-sqrt-square_binary64
26×swap-sqr_binary64
23×exp-sum_binary64 distribute-neg-out_binary64
21×exp-diff_binary64
20×unpow3_binary64
16×associate-+l-_binary64
14×cube-mult_binary64
12×div-sub_binary64 associate-+r-_binary64
11×distribute-neg-in_binary64
10×cube-neg_binary64 associate-/l*_binary64
pow-sqr_binary64
remove-double-neg_binary64
pow-plus_binary64 *-rgt-identity_binary64 associate-/r*_binary64
unpow1/2_binary64 sub0-neg_binary64
log-pow_binary64 prod-exp_binary64 cube-unmult_binary64 sqr-neg_binary64 *-lft-identity_binary64 +-rgt-identity_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--r+_binary64
difference-of-squares_binary64 count-2_binary64
div-exp_binary64 associate--l-_binary64 associate--l+_binary64
unpow2_binary64 unpow1_binary64 rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 --rgt-identity_binary64 associate-*l/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_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 exp-neg_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 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
39 → 31
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065498
1180423
2558405
31326405
43508405
54917405
64918405

prune24.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh055
Picked011
Done011
Total31738
Error
0.0b
Counts
38 → 7
Compiler

Compiled 332 to 242 computations (27.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 2 (*.f64 x 3))
0.1b
(*.f64 (*.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.1b
(*.f64 3 (-.f64 2 (*.f64 x 3)))

rewrite87.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-*l*_binary64
sub-neg_binary64 cancel-sign-sub-inv_binary64 flip3--_binary64 flip--_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 associate-*l/_binary64
unswap-sqr_binary64 diff-log_binary64
Counts
3 → 56
Calls

3 calls:

7.0ms
(*.f64 3 (-.f64 2 (*.f64 x 3)))
7.0ms
(*.f64 (*.f64 3 (-.f64 2 (*.f64 x 3))) x)
3.0ms
(-.f64 2 (*.f64 x 3))
Compiler

Compiled 879 to 716 computations (18.5% saved)

series40.0ms (2%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

13.0ms
(*.f64 (*.f64 3 (-.f64 2 (*.f64 x 3))) x)
10.0ms
(*.f64 3 (-.f64 2 (*.f64 x 3)))
9.0ms
(-.f64 2 (*.f64 x 3))
Compiler

Compiled 245 to 211 computations (13.9% saved)

simplify95.0ms (4.6%)

Algorithm
egg-herbie
Rules
391×*-commutative_binary64
244×unsub-neg_binary64
243×distribute-rgt-neg-out_binary64
242×distribute-lft-neg-out_binary64
212×distribute-rgt-neg-in_binary64
211×exp-prod_binary64
202×neg-mul-1_binary64
197×neg-sub0_binary64
196×distribute-rgt-in_binary64
192×distribute-lft-in_binary64
179×distribute-lft-neg-in_binary64
160×unswap-sqr_binary64
159×sqr-pow_binary64
126×associate-*l*_binary64
106×prod-exp_binary64
92×cancel-sign-sub-inv_binary64
89×associate-*r*_binary64
80×associate-/l*_binary64
73×div-exp_binary64
72×+-commutative_binary64
59×associate-+r+_binary64
54×exp-sum_binary64
53×associate-+l+_binary64
52×times-frac_binary64
51×sub-neg_binary64
48×distribute-neg-in_binary64
46×log-prod_binary64
45×unpow3_binary64 pow-sqr_binary64
40×cube-prod_binary64 swap-sqr_binary64
36×associate-/l/_binary64
24×div-sub_binary64
22×exp-diff_binary64 distribute-rgt-out_binary64
19×cube-div_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 associate-/r/_binary64
17×cube-mult_binary64
16×distribute-neg-out_binary64
15×exp-lft-cube_binary64 associate-/r*_binary64
13×associate-*r/_binary64
11×sub0-neg_binary64 +-rgt-identity_binary64
10×mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
associate-*l/_binary64
pow-plus_binary64 sqr-neg_binary64 distribute-lft-out_binary64
unpow1/2_binary64 cube-unmult_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
rec-exp_binary64 exp-neg_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64
log-pow_binary64 remove-double-neg_binary64
log-div_binary64 cube-neg_binary64 distribute-neg-frac_binary64 count-2_binary64
unpow1_binary64 exp-lft-sqr_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64
unpow2_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_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 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
74 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101942
1225732
2632726
31600726
42446726
54655726
64918726

prune40.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh224
Picked101
Done022
Total54660
Error
0.0b
Counts
60 → 6
Compiler

Compiled 497 to 393 computations (20.9% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 2 (*.f64 x 3))
0.1b
(*.f64 3 (*.f64 x (-.f64 2 (*.f64 x 3))))
0.1b
(*.f64 x (-.f64 2 (*.f64 x 3)))

rewrite82.0ms (4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
add-sqr-sqrt_binary64
sub-neg_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r/_binary64 associate-*l*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
flip3--_binary64 flip--_binary64
*-commutative_binary64
unswap-sqr_binary64 diff-log_binary64
Counts
3 → 64
Calls

3 calls:

7.0ms
(*.f64 3 (*.f64 x (-.f64 2 (*.f64 x 3))))
6.0ms
(*.f64 x (-.f64 2 (*.f64 x 3)))
3.0ms
(-.f64 2 (*.f64 x 3))
Compiler

Compiled 980 to 777 computations (20.7% saved)

series44.0ms (2.1%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

13.0ms
(*.f64 3 (*.f64 x (-.f64 2 (*.f64 x 3))))
12.0ms
(*.f64 x (-.f64 2 (*.f64 x 3)))
8.0ms
(-.f64 2 (*.f64 x 3))
Compiler

Compiled 286 to 254 computations (11.2% saved)

simplify79.0ms (3.8%)

Algorithm
egg-herbie
Rules
339×unsub-neg_binary64
268×unswap-sqr_binary64
261×distribute-rgt-neg-out_binary64
246×neg-mul-1_binary64
242×neg-sub0_binary64
228×*-commutative_binary64
219×distribute-rgt-in_binary64
214×distribute-lft-in_binary64
177×sqr-pow_binary64
139×exp-prod_binary64
133×associate-*l*_binary64
125×associate-*r*_binary64
116×distribute-lft-neg-out_binary64
112×+-commutative_binary64
108×cancel-sign-sub-inv_binary64
83×distribute-neg-in_binary64
74×distribute-rgt-neg-in_binary64
67×distribute-lft-neg-in_binary64 associate-+l+_binary64
64×pow-sqr_binary64
62×associate-+r+_binary64
58×exp-sum_binary64 sub-neg_binary64
39×cube-prod_binary64
29×div-sub_binary64 *-rgt-identity_binary64
28×swap-sqr_binary64
27×*-lft-identity_binary64
26×times-frac_binary64
23×log-prod_binary64 exp-diff_binary64
22×prod-exp_binary64 associate-/l*_binary64 associate-/r*_binary64
19×unpow3_binary64
15×distribute-neg-out_binary64
13×cube-mult_binary64 +-rgt-identity_binary64
12×exp-lft-cube_binary64 cube-div_binary64 mul0-rgt_binary64 mul0-lft_binary64
11×sub0-neg_binary64 distribute-rgt-out_binary64
div-exp_binary64 cube-unmult_binary64 distribute-neg-frac_binary64 associate-+l-_binary64
pow-plus_binary64 distribute-rgt-out--_binary64 associate-*r/_binary64
associate-+r-_binary64
unpow1/2_binary64 sqr-neg_binary64 distribute-lft-out_binary64 associate-/l/_binary64
rem-sqrt-square_binary64 distribute-frac-neg_binary64
log-pow_binary64 rec-exp_binary64 cube-neg_binary64 associate-/r/_binary64 associate-*l/_binary64
exp-lft-sqr_binary64 remove-double-neg_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 /-rgt-identity_binary64 div0_binary64 distribute-rgt1-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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
82 → 63
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01101094
1224893
2679893
31706893
42871893
54887893

prune36.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62163
Fresh123
Picked011
Done022
Total63669
Error
0.0b
Counts
69 → 6
Compiler

Compiled 441 to 333 computations (24.5% saved)

regimes492.0ms (23.9%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

Compiler

Compiled 2713 to 2290 computations (15.6% 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
0710
11010
21010

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample573.0ms (27.8%)

Algorithm
intervals
Results
187.0ms7232×body128valid
44.0ms449×body1024valid
13.0ms196×body512valid
6.0ms123×body256valid
0.0msbody128invalid
Compiler

Compiled 109 to 97 computations (11% saved)

Profiling

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