Details

Time bar (total: 2.3s)

analyze99.0ms (4.4%)

Algorithm
search
egg-herbie
Rules
12×associate-*l*_binary64 associate-*r*_binary64
*-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 swap-sqr_binary64
+-commutative_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 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 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 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-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 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
01020
12820
23420
35720
45320
55120
022
122
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
25%74.9%0.1%5
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
associate-*l*_binary64 associate-*r*_binary64
*-commutative_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
1-exp_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 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 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 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-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 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
0710
11710
22110
34010
43410
53210

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
6.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.7b
(*.f64 x (+.f64 1 (*.f64 y y)))

rewrite32.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
6.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64
associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 300 to 156 computations (48% saved)

series24.0ms (1.1%)

Error
5.9b
Counts
1 → 9
Calls

1 calls:

20.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 122 to 109 computations (10.7% saved)

simplify87.0ms (3.9%)

Algorithm
egg-herbie
Rules
696×distribute-rgt-in_binary64
609×distribute-lft-in_binary64
413×unswap-sqr_binary64
283×associate-*l*_binary64
239×*-commutative_binary64
216×associate-*r*_binary64
195×associate-+l+_binary64
183×associate-*r/_binary64
163×distribute-rgt-neg-in_binary64
162×sqr-pow_binary64
160×associate-+r+_binary64
159×associate-*l/_binary64
154×distribute-lft-neg-in_binary64
115×associate-/l*_binary64
112×distribute-rgt-out_binary64
108×cancel-sign-sub-inv_binary64
92×exp-prod_binary64
65×associate-/l/_binary64
57×pow-sqr_binary64
50×distribute-rgt1-in_binary64
49×associate-/r*_binary64
48×*-rgt-identity_binary64
45×associate-/r/_binary64
43×cube-prod_binary64 rem-sqrt-square_binary64
41×*-lft-identity_binary64
40×distribute-lft-out_binary64
37×neg-mul-1_binary64 neg-sub0_binary64
36×distribute-lft1-in_binary64
33×log-div_binary64 cube-div_binary64
29×unpow3_binary64
28×sub-neg_binary64
26×difference-of-sqr--1_binary64
22×pow-plus_binary64
19×log-prod_binary64
18×cube-unmult_binary64
16×cube-mult_binary64 +-commutative_binary64
14×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
12×exp-sqrt_binary64 swap-sqr_binary64
11×unsub-neg_binary64
10×exp-sum_binary64
unpow1/2_binary64 difference-of-sqr-1_binary64
unpow2_binary64 sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
distribute-neg-frac_binary64 distribute-neg-in_binary64
log-rec_binary64 exp-lft-sqr_binary64 --rgt-identity_binary64 distribute-rgt-out--_binary64 count-2_binary64
unpow1_binary64 prod-exp_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 +-rgt-identity_binary64 associate--r+_binary64 associate-+r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_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 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 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
31 → 18
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053394
1133343
2403343
3994343
42591343
53426343
64830343
74921343

prune11.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New14418
Fresh000
Picked101
Done000
Total15419
Error
6.0b
Counts
19 → 4
Compiler

Compiled 154 to 91 computations (40.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.8b
(*.f64 x (*.f64 y y))

rewrite21.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

5.0ms
(*.f64 x (*.f64 y y))
Compiler

Compiled 204 to 66 computations (67.6% saved)

series19.0ms (0.8%)

Error
6.0b
Counts
1 → 6
Calls

1 calls:

17.0ms
(*.f64 x (*.f64 y y))
Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify72.0ms (3.2%)

Algorithm
egg-herbie
Rules
690×associate-/l/_binary64
564×associate-/r/_binary64
350×distribute-rgt-in_binary64
330×unswap-sqr_binary64
315×distribute-lft-in_binary64
255×*-commutative_binary64
209×log-prod_binary64
204×associate-*l*_binary64
192×sqr-pow_binary64
152×times-frac_binary64
138×associate-*r*_binary64
117×associate-/l*_binary64
116×associate-+l+_binary64
87×pow-sqr_binary64
73×associate-+r+_binary64
58×distribute-rgt-out_binary64
53×exp-prod_binary64
48×associate-/r*_binary64
43×log-div_binary64
42×cube-prod_binary64
40×associate-*r/_binary64
27×log-pow_binary64
26×distribute-lft-out_binary64
20×associate-*l/_binary64
19×count-2_binary64
18×unpow3_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
14×cube-mult_binary64
10×*-rgt-identity_binary64
distribute-rgt1-in_binary64
swap-sqr_binary64
cube-unmult_binary64
/-rgt-identity_binary64 distribute-lft1-in_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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-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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 +-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-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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
25 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035255
175210
2190210
3428210
4666210
51218210
62094210
74843210
85061210

prune8.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh123
Picked011
Done000
Total13518
Error
2.1b
Counts
18 → 5
Compiler

Compiled 119 to 63 computations (47.1% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 y y) (*.f64 y y))
1.2b
(*.f64 x (+.f64 1 (pow.f64 y 6)))
4.8b
(-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))
13.4b
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))))

rewrite178.0ms (7.9%)

Algorithm
rewrite-expression-head
Error
2.1b
Rules
117×pow1_binary64
36×pow-prod-up_binary64
24×pow-prod-down_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×pow-sqr_binary64
18×pow-plus_binary64
13×pow2_binary64
12×*-un-lft-identity_binary64
10×prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-log-exp_binary64
associate-*r*_binary64
times-frac_binary64 associate-*r/_binary64 associate-/r*_binary64 associate-*l*_binary64
distribute-lft-out_binary64 flip3-+_binary64 flip-+_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/l/_binary64 associate-/r/_binary64 unswap-sqr_binary64 *-commutative_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 swap-sqr_binary64
Counts
4 → 126
Calls

4 calls:

21.0ms
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))))
10.0ms
(-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))
9.0ms
(*.f64 (*.f64 y y) (*.f64 y y))
7.0ms
(*.f64 x (+.f64 1 (pow.f64 y 6)))
Compiler

Compiled 3297 to 1813 computations (45% saved)

series131.0ms (5.8%)

Error
2.1b
Counts
4 → 27
Calls

4 calls:

54.0ms
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 6))) (+.f64 (*.f64 1 1) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))))
37.0ms
(*.f64 x (+.f64 1 (pow.f64 y 6)))
16.0ms
(-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1 (*.f64 y y)))
9.0ms
(*.f64 (*.f64 y y) (*.f64 y y))
Compiler

Compiled 1026 to 768 computations (25.1% saved)

simplify105.0ms (4.7%)

Algorithm
egg-herbie
Rules
900×times-frac_binary64
589×distribute-rgt-in_binary64
181×associate-*l*_binary64
166×unswap-sqr_binary64
142×associate-*r*_binary64
140×cancel-sign-sub-inv_binary64
130×distribute-rgt-neg-in_binary64
129×exp-prod_binary64
113×distribute-rgt-out_binary64
108×cube-prod_binary64 distribute-lft-neg-in_binary64
100×log-prod_binary64
98×distribute-lft-in_binary64
70×associate-/l*_binary64
55×*-commutative_binary64
53×sub-neg_binary64
45×sqr-pow_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
34×div-sub_binary64
32×associate-*l/_binary64
31×*-rgt-identity_binary64
30×*-lft-identity_binary64
29×log-div_binary64
28×+-commutative_binary64
27×difference-of-squares_binary64
25×distribute-lft-neg-out_binary64
24×neg-sub0_binary64
23×unpow3_binary64 cube-div_binary64 neg-mul-1_binary64
22×distribute-neg-in_binary64
21×associate-/l/_binary64
20×exp-sum_binary64 swap-sqr_binary64 associate-*r/_binary64
18×associate-/r*_binary64
16×cube-mult_binary64
15×pow-plus_binary64
14×distribute-rgt-neg-out_binary64
13×unsub-neg_binary64 distribute-lft-out--_binary64
12×cube-unmult_binary64 /-rgt-identity_binary64 associate-/r/_binary64
11×distribute-lft1-in_binary64
pow-sqr_binary64 distribute-rgt1-in_binary64
distribute-neg-frac_binary64 associate-+l+_binary64
exp-diff_binary64 difference-of-sqr-1_binary64
log-pow_binary64 log-rec_binary64 associate--r+_binary64 associate-+r+_binary64
associate-+r-_binary64
unpow1/2_binary64 mul-1-neg_binary64 count-2_binary64 associate--l+_binary64
unpow2_binary64 +-rgt-identity_binary64 associate-+l-_binary64
unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 difference-of-sqr--1_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 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-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 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate--l-_binary64
Counts
153 → 122
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581862
13801653
216251651
346671651
449541651

prune84.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done011
Total1225127
Error
2.1b
Counts
127 → 5
Compiler

Compiled 1700 to 1072 computations (36.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 y (sqrt.f64 x))
0.1b
(*.f64 y (sqrt.f64 x))
0.2b
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))

rewrite88.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
2.0b
Rules
46×pow1_binary64
19×pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×prod-exp_binary64 cbrt-unprod_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
sqrt-prod_binary64
associate-*l*_binary64
pow-prod-up_binary64 pow-sqr_binary64 unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
pow-plus_binary64
pow2_binary64 swap-sqr_binary64
Counts
3 → 78
Calls

3 calls:

8.0ms
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
5.0ms
(*.f64 y (sqrt.f64 x))
5.0ms
(*.f64 y (sqrt.f64 x))
Compiler

Compiled 997 to 212 computations (78.7% saved)

series48.0ms (2.1%)

Error
2.1b
Counts
3 → 18
Calls

3 calls:

16.0ms
(*.f64 y (sqrt.f64 x))
15.0ms
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
15.0ms
(*.f64 y (sqrt.f64 x))
Compiler

Compiled 441 to 318 computations (27.9% saved)

simplify111.0ms (4.9%)

Algorithm
egg-herbie
Rules
579×unswap-sqr_binary64
543×distribute-rgt-in_binary64
499×distribute-lft-in_binary64
318×log-div_binary64
276×associate-+l+_binary64
237×*-commutative_binary64
232×log-prod_binary64
224×associate-/l*_binary64
218×associate-/l/_binary64
210×sqr-pow_binary64
195×exp-prod_binary64
180×associate-/r/_binary64
155×associate-+r+_binary64
117×associate-*l*_binary64
113×cube-prod_binary64
104×associate-*r*_binary64
100×cube-div_binary64
90×swap-sqr_binary64
86×pow-sqr_binary64
63×associate-/r*_binary64
50×times-frac_binary64
33×associate-*r/_binary64
28×distribute-rgt-out_binary64 distribute-lft-out_binary64
25×rem-sqrt-square_binary64
19×+-commutative_binary64
18×log-rec_binary64 unpow3_binary64 exp-sqrt_binary64 *-rgt-identity_binary64 *-lft-identity_binary64
14×cube-mult_binary64
13×log-pow_binary64
12×unpow1/2_binary64 pow-plus_binary64
11×exp-lft-sqr_binary64
cube-unmult_binary64 distribute-rgt1-in_binary64 count-2_binary64
prod-exp_binary64
associate-*l/_binary64
unpow2_binary64 distribute-lft1-in_binary64
unpow1_binary64
1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 /-rgt-identity_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-cbrt_binary64 div-exp_binary64 rec-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-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 +-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-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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
96 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065815
1133709
2432704
3687704
41123704
52366704
64650704
74249704
85006704

prune20.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62264
Fresh112
Picked011
Done022
Total63669
Error
0.0b
Counts
69 → 6
Compiler

Compiled 274 to 80 computations (70.8% saved)

regimes503.0ms (22.3%)

Accuracy

Total 0.1b remaining (69%)

Threshold costs 0.1b (69%)

Compiler

Compiled 6156 to 4390 computations (28.7% 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
0610
1910
2910

end1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample555.0ms (24.6%)

Algorithm
intervals
Results
181.0ms8000×body128valid
4.0ms197×body128invalid
Compiler

Compiled 102 to 79 computations (22.5% saved)

Profiling

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