Details

Time bar (total: 1.9s)

analyze68.0ms (3.6%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-/r/_binary64 associate-/l*_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 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_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
11520
22320
32820
43020
53020
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
18.7%81.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r/_binary64 associate-/l*_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 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_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
11110
21510
31810
41910
51910

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.5b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite36.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
times-frac_binary64 associate-/r*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
div-exp_binary64 cbrt-undiv_binary64 distribute-lft-out_binary64 associate-/r/_binary64
pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 associate-/l*_binary64
Counts
1 → 25
Calls

1 calls:

6.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))
Compiler

Compiled 324 to 158 computations (51.2% saved)

series35.0ms (1.8%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

27.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))
Compiler

Compiled 363 to 314 computations (13.5% saved)

simplify74.0ms (3.9%)

Algorithm
egg-herbie
Rules
434×cancel-sign-sub-inv_binary64
425×associate-/l*_binary64
376×times-frac_binary64
213×distribute-rgt-in_binary64
208×div-sub_binary64
177×distribute-neg-frac_binary64
176×associate-/l/_binary64
168×associate-*l*_binary64
167×distribute-rgt-neg-in_binary64
165×associate-*l/_binary64
162×distribute-lft-neg-in_binary64
158×associate-/r*_binary64
125×associate-*r/_binary64
123×associate-*r*_binary64
106×associate-/r/_binary64
103×sub-neg_binary64
90×unswap-sqr_binary64
81×*-commutative_binary64
54×distribute-rgt-out_binary64
51×distribute-rgt-out--_binary64
47×neg-mul-1_binary64 neg-sub0_binary64 distribute-lft-in_binary64
40×cube-div_binary64
36×log-div_binary64
34×distribute-lft-out_binary64
32×cube-prod_binary64 *-rgt-identity_binary64
31×sqr-pow_binary64
28×unpow3_binary64
27×+-commutative_binary64
24×log-prod_binary64
22×associate-+l+_binary64 associate-+r+_binary64
20×associate-+l-_binary64
19×cube-mult_binary64
17×distribute-lft-out--_binary64
16×swap-sqr_binary64
15×cube-unmult_binary64 associate--l+_binary64 associate-+r-_binary64
14×unsub-neg_binary64
11×+-rgt-identity_binary64
sub0-neg_binary64
distribute-rgt1-in_binary64 associate--l-_binary64
associate--r+_binary64
pow-plus_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 difference-of-squares_binary64 distribute-neg-in_binary64
exp-prod_binary64
distribute-lft-neg-out_binary64
log-pow_binary64
log-rec_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64
1-exp_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-lft1-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 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-neg_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 remove-double-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 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64
Counts
43 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079675
1219612
2712585
32987558
44613558
55002558

prune19.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729
Error
0b
Counts
29 → 7
Compiler

Compiled 284 to 162 computations (43% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 100 (+.f64 x y))
0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))

rewrite74.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
25×add-sqr-sqrt_binary64 times-frac_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
distribute-lft-out_binary64
pow1_binary64 associate-/r/_binary64 associate-/r*_binary64
associate-*l*_binary64 associate-/l*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 70
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
5.0ms
(/.f64 100 (+.f64 x y))
Compiler

Compiled 915 to 456 computations (50.2% saved)

series65.0ms (3.4%)

Error
0b
Counts
2 → 33
Calls

2 calls:

28.0ms
(/.f64 100 (+.f64 x y))
27.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 803 to 682 computations (15.1% saved)

simplify103.0ms (5.4%)

Algorithm
egg-herbie
Rules
603×cancel-sign-sub-inv_binary64
323×associate-*l*_binary64
313×times-frac_binary64
308×associate-/l*_binary64
259×distribute-rgt-neg-in_binary64
253×associate-*r*_binary64
249×distribute-lft-neg-in_binary64
226×associate-*r/_binary64
223×div-sub_binary64
204×distribute-neg-frac_binary64
203×neg-mul-1_binary64
196×associate-*l/_binary64
193×neg-sub0_binary64
180×sub-neg_binary64
166×associate-/r*_binary64
140×unswap-sqr_binary64
111×*-commutative_binary64
61×distribute-rgt-in_binary64
57×distribute-lft-in_binary64
52×associate-/r/_binary64
47×associate-/l/_binary64
42×sqr-pow_binary64
41×*-lft-identity_binary64
40×*-rgt-identity_binary64
39×cube-div_binary64
35×+-commutative_binary64
34×cube-prod_binary64
32×log-prod_binary64 /-rgt-identity_binary64
27×associate-+r+_binary64
26×log-div_binary64 associate-+l+_binary64
25×unsub-neg_binary64
24×exp-prod_binary64
23×unpow3_binary64
21×associate-+l-_binary64
19×swap-sqr_binary64
18×associate-+r-_binary64
17×associate--l+_binary64
16×cube-mult_binary64
15×cube-unmult_binary64
14×+-rgt-identity_binary64
12×sub0-neg_binary64 distribute-neg-in_binary64
10×distribute-rgt-out_binary64
difference-of-squares_binary64 associate--r+_binary64
distribute-rgt-out--_binary64 distribute-lft-out_binary64
pow-plus_binary64 pow-sqr_binary64 distribute-lft-out--_binary64
rem-sqrt-square_binary64
log-rec_binary64 unpow1/2_binary64 distribute-lft-neg-out_binary64
log-pow_binary64 distribute-rgt1-in_binary64
unpow2_binary64 unpow1_binary64 sqr-neg_binary64 remove-double-div_binary64 distribute-rgt-neg-out_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 distribute-frac-neg_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 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 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
103 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341472
13241370
29651334
330631334
442421334
549671334

prune26.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh415
Picked011
Done011
Total58563
Error
0b
Counts
63 → 5
Compiler

Compiled 456 to 233 computations (48.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (sqrt.f64 100) (+.f64 x y))
0.2b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))

rewrite96.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
60×*-un-lft-identity_binary64
48×times-frac_binary64
34×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
30×associate-*r*_binary64
27×sqrt-prod_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×distribute-lft-out_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 associate-/l*_binary64
associate-/r/_binary64 associate-/r*_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64
add-log-exp_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 98
Calls

2 calls:

16.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
6.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))
Compiler

Compiled 1474 to 896 computations (39.2% saved)

series67.0ms (3.6%)

Error
0b
Counts
2 → 33
Calls

2 calls:

29.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
29.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))
Compiler

Compiled 855 to 734 computations (14.2% saved)

simplify123.0ms (6.5%)

Algorithm
egg-herbie
Rules
517×associate-/l*_binary64
403×associate-*r/_binary64
358×times-frac_binary64
329×associate-*l/_binary64
325×cancel-sign-sub-inv_binary64
321×*-commutative_binary64
188×associate-/r*_binary64
177×associate-*l*_binary64
153×div-sub_binary64
130×associate-*r*_binary64
118×sub-neg_binary64
110×unswap-sqr_binary64
91×associate-/l/_binary64
76×associate-/r/_binary64
56×neg-mul-1_binary64 neg-sub0_binary64
55×sqr-pow_binary64
51×distribute-rgt-neg-in_binary64 distribute-rgt-in_binary64
49×*-lft-identity_binary64
47×distribute-lft-neg-in_binary64 distribute-lft-in_binary64
43×cube-div_binary64
42×*-rgt-identity_binary64
39×associate-+r+_binary64
38×associate-+l+_binary64
36×+-commutative_binary64
35×log-div_binary64
33×distribute-neg-frac_binary64
32×log-prod_binary64
31×/-rgt-identity_binary64 swap-sqr_binary64
29×exp-prod_binary64
27×cube-prod_binary64
23×associate-+l-_binary64
21×unpow3_binary64 associate-+r-_binary64
17×associate--l+_binary64
16×cube-mult_binary64
15×+-rgt-identity_binary64
14×unsub-neg_binary64
12×cube-unmult_binary64 sub0-neg_binary64
11×associate--r+_binary64
10×distribute-rgt-out_binary64
pow-sqr_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64
rem-sqrt-square_binary64
distribute-neg-in_binary64
distribute-lft-out--_binary64 distribute-lft-out_binary64
unpow1/2_binary64
log-pow_binary64 log-rec_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 sqr-neg_binary64 distribute-lft-neg-out_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 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 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 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-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 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-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
Counts
131 → 109
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541979
14021841
214271814
340011814
448251814
550091814

prune48.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done022
Total1095114
Error
0b
Counts
114 → 5
Compiler

Compiled 1005 to 554 computations (44.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x y))
0.5b
(*.f64 (*.f64 100 x) (/.f64 1 (+.f64 x y)))

rewrite80.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
33×*-un-lft-identity_binary64
28×add-exp-log_binary64
24×times-frac_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-*r*_binary64
16×add-cbrt-cube_binary64
12×prod-exp_binary64
pow1_binary64
distribute-lft-out_binary64
div-exp_binary64 cbrt-unprod_binary64
associate-/r/_binary64 associate-/r*_binary64
pow-prod-down_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 associate-/l*_binary64
add-log-exp_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
un-div-inv_binary64 associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 80
Calls

2 calls:

13.0ms
(*.f64 (*.f64 100 x) (/.f64 1 (+.f64 x y)))
5.0ms
(/.f64 1 (+.f64 x y))
Compiler

Compiled 1149 to 649 computations (43.5% saved)

series62.0ms (3.3%)

Error
0b
Counts
2 → 33
Calls

2 calls:

28.0ms
(*.f64 (*.f64 100 x) (/.f64 1 (+.f64 x y)))
26.0ms
(/.f64 1 (+.f64 x y))
Compiler

Compiled 757 to 636 computations (16% saved)

simplify107.0ms (5.7%)

Algorithm
egg-herbie
Rules
374×associate-/l*_binary64
370×div-sub_binary64
314×times-frac_binary64
293×cancel-sign-sub-inv_binary64
232×*-commutative_binary64
215×associate-*r/_binary64
188×associate-*l/_binary64
170×associate-/r*_binary64
169×distribute-neg-frac_binary64
152×distribute-rgt-neg-in_binary64
146×distribute-lft-neg-in_binary64
135×associate-*l*_binary64
115×sub-neg_binary64
114×distribute-rgt-in_binary64
107×unswap-sqr_binary64
106×associate-*r*_binary64
102×associate-+r-_binary64
99×distribute-lft-in_binary64
93×associate-+l-_binary64
63×associate-/r/_binary64
58×sqr-pow_binary64
52×associate-/l/_binary64
49×associate--l+_binary64 associate-+r+_binary64
47×neg-mul-1_binary64 associate-+l+_binary64
46×neg-sub0_binary64
39×+-commutative_binary64
37×associate--r+_binary64
36×distribute-rgt-out--_binary64
35×/-rgt-identity_binary64
34×cube-div_binary64
33×distribute-rgt-out_binary64
32×*-rgt-identity_binary64
28×exp-prod_binary64
26×*-lft-identity_binary64
25×cube-prod_binary64 swap-sqr_binary64
23×log-div_binary64
21×distribute-neg-in_binary64
18×unpow3_binary64 +-rgt-identity_binary64
17×unsub-neg_binary64
16×log-prod_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
15×associate--l-_binary64
14×sub0-neg_binary64 associate--r-_binary64
13×cube-mult_binary64
12×cube-unmult_binary64
pow-sqr_binary64 difference-of-squares_binary64
distribute-rgt1-in_binary64
unpow1/2_binary64 rem-sqrt-square_binary64
log-pow_binary64 log-rec_binary64 distribute-lft-neg-out_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 sqr-neg_binary64 +-lft-identity_binary64 div0_binary64 count-2_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-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 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 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 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64
Counts
113 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261545
13231407
210651371
329561344
445851344
551641344

prune25.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done033
Total74579
Error
0b
Counts
79 → 5
Compiler

Compiled 459 to 243 computations (47.1% saved)

regimes190.0ms (10%)

Accuracy

Total 0.2b remaining (92.7%)

Threshold costs 0.2b (92.7%)

Compiler

Compiled 1751 to 1374 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-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 *-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
2810

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample544.0ms (28.8%)

Algorithm
intervals
Results
202.0ms8000×body128valid
Compiler

Compiled 75 to 71 computations (5.3% saved)

Profiling

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