Details

Time bar (total: 2.5s)

analyze59.0ms (2.4%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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)

sample20.0ms (0.8%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.4%)

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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.4b
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))

rewrite30.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
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)

series42.0ms (1.7%)

Error
0.1b
Counts
1 → 21
Calls

1 calls:

35.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))
Compiler

Compiled 493 to 419 computations (15% saved)

simplify90.0ms (3.6%)

Algorithm
egg-herbie
Rules
515×cancel-sign-sub-inv_binary64
454×associate-/l*_binary64
412×times-frac_binary64
210×div-sub_binary64
196×associate-/r*_binary64
186×distribute-neg-frac_binary64
183×associate-*l/_binary64
181×associate-/l/_binary64
179×associate-*l*_binary64
170×distribute-rgt-neg-in_binary64
165×distribute-lft-neg-in_binary64
138×associate-*r/_binary64
133×associate-*r*_binary64
116×associate-/r/_binary64
115×unswap-sqr_binary64
112×sub-neg_binary64
86×*-commutative_binary64
51×distribute-rgt-in_binary64
47×neg-mul-1_binary64 neg-sub0_binary64 distribute-lft-in_binary64
42×cube-div_binary64
36×log-div_binary64
33×cube-prod_binary64 +-commutative_binary64
32×*-rgt-identity_binary64 sqr-pow_binary64
30×unpow3_binary64
26×log-prod_binary64
24×associate-+l+_binary64 associate-+r+_binary64
22×associate-+l-_binary64
20×cube-mult_binary64
19×associate--l+_binary64
17×associate-+r-_binary64
16×unsub-neg_binary64
15×cube-unmult_binary64 swap-sqr_binary64
13×+-rgt-identity_binary64
10×sub0-neg_binary64
distribute-rgt-out_binary64
difference-of-squares_binary64 associate--l-_binary64
distribute-rgt-out--_binary64 associate--r+_binary64
pow-plus_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 distribute-neg-in_binary64 distribute-lft-out_binary64
exp-prod_binary64
log-pow_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64
distribute-lft-out--_binary64
log-rec_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 fabs-mul_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
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 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64
Counts
46 → 31
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083777
1232705
2772669
33284669
44546669
54996669
64940669

prune21.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New26531
Fresh000
Picked011
Done000
Total26632
Error
0.0b
Counts
32 → 6
Compiler

Compiled 313 to 158 computations (49.5% saved)

localize4.0ms (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)))

rewrite75.0ms (3%)

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:

10.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
5.0ms
(/.f64 100 (+.f64 x y))
Compiler

Compiled 915 to 456 computations (50.2% saved)

series76.0ms (3.1%)

Error
0.0b
Counts
2 → 39
Calls

2 calls:

33.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
30.0ms
(/.f64 100 (+.f64 x y))
Compiler

Compiled 968 to 814 computations (15.9% saved)

simplify111.0ms (4.5%)

Algorithm
egg-herbie
Rules
394×times-frac_binary64
365×associate-/l*_binary64
340×associate-*l*_binary64
298×distribute-rgt-neg-in_binary64
267×associate-*r*_binary64
252×associate-*r/_binary64
249×div-sub_binary64
234×distribute-neg-frac_binary64
222×associate-*l/_binary64
219×associate-/r*_binary64
184×unswap-sqr_binary64
154×sub-neg_binary64
123×*-commutative_binary64
103×cancel-sign-sub-inv_binary64
66×associate-/r/_binary64
63×distribute-rgt-in_binary64
57×distribute-lft-in_binary64
54×neg-mul-1_binary64 neg-sub0_binary64
51×+-commutative_binary64
49×distribute-lft-neg-in_binary64
47×associate-/l/_binary64
44×sqr-pow_binary64
43×*-lft-identity_binary64
42×cube-div_binary64 *-rgt-identity_binary64
40×cube-prod_binary64
33×log-prod_binary64 associate--l+_binary64 associate-+l+_binary64 associate-+r+_binary64
32×/-rgt-identity_binary64
29×associate-+l-_binary64
26×log-div_binary64 swap-sqr_binary64
25×unpow3_binary64 exp-prod_binary64 unsub-neg_binary64 associate-+r-_binary64
19×associate--r+_binary64
18×+-rgt-identity_binary64
17×cube-mult_binary64
16×distribute-neg-in_binary64
15×cube-unmult_binary64 sub0-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
14×difference-of-squares_binary64
11×distribute-rgt-out--_binary64
pow-plus_binary64
pow-sqr_binary64
rem-sqrt-square_binary64 cancel-sign-sub_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64
log-rec_binary64 unpow1/2_binary64 fabs-mul_binary64
log-pow_binary64
unpow2_binary64 unpow1_binary64 remove-double-div_binary64 distribute-rgt-neg-out_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 fabs-sqr_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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_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 distribute-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
109 → 60
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441703
13561583
210981538
336401538
446611538
550321538

prune32.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh044
Picked011
Done011
Total59766
Error
0.0b
Counts
66 → 7
Compiler

Compiled 501 to 254 computations (49.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (sqrt.f64 100) (+.f64 x y))
0.5b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))

rewrite99.0ms (4%)

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:

12.0ms
(*.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)

series80.0ms (3.2%)

Error
0.0b
Counts
2 → 42
Calls

2 calls:

35.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))
33.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
Compiler

Compiled 1160 to 982 computations (15.3% saved)

simplify154.0ms (6.2%)

Algorithm
egg-herbie
Rules
612×associate-/l*_binary64
504×times-frac_binary64
435×associate-*r/_binary64
365×associate-*l/_binary64
255×associate-/r*_binary64
178×associate-*l*_binary64
139×associate-*r*_binary64
115×*-commutative_binary64
109×cancel-sign-sub-inv_binary64
92×associate-/l/_binary64 associate-/r/_binary64
84×div-sub_binary64 sub-neg_binary64
70×neg-mul-1_binary64 neg-sub0_binary64
59×distribute-rgt-neg-in_binary64
57×sqr-pow_binary64
54×distribute-lft-neg-in_binary64
53×distribute-rgt-in_binary64
50×*-lft-identity_binary64
47×distribute-lft-in_binary64
44×cube-div_binary64
43×*-rgt-identity_binary64
41×distribute-neg-frac_binary64
37×log-div_binary64
36×+-commutative_binary64
33×log-prod_binary64
32×/-rgt-identity_binary64
29×exp-prod_binary64 cube-prod_binary64
25×unpow3_binary64
22×unswap-sqr_binary64
21×unsub-neg_binary64
20×cube-mult_binary64
19×distribute-rgt-out_binary64
16×distribute-lft-out--_binary64 associate--l+_binary64
15×difference-of-squares_binary64 distribute-lft-out_binary64
13×swap-sqr_binary64 distribute-rgt-out--_binary64
11×associate-+l+_binary64
10×distribute-neg-in_binary64
associate--r+_binary64
cube-unmult_binary64 pow-sqr_binary64
rem-sqrt-square_binary64
distribute-rgt1-in_binary64
log-pow_binary64 unpow1/2_binary64
log-rec_binary64 pow-plus_binary64 remove-double-div_binary64 distribute-lft-neg-out_binary64 associate-+r-_binary64 associate-+r+_binary64
unpow2_binary64 unpow1_binary64 fabs-mul_binary64
1-exp_binary64 exp-1-e_binary64 count-2_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_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 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
140 → 118
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682303
14482138
216092102
345812102
448382102
549962102
649512102

prune58.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1162118
Fresh314
Picked011
Done022
Total1196125
Error
0b
Counts
125 → 6
Compiler

Compiled 1107 to 612 computations (44.7% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (*.f64 x 10) (sqrt.f64 10))
0.4b
(/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y))
0.5b
(*.f64 (*.f64 (*.f64 x 10) (sqrt.f64 10)) (/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y)))

rewrite164.0ms (6.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
90×*-un-lft-identity_binary64
84×sqrt-prod_binary64
72×times-frac_binary64
52×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
48×associate-*r*_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
19×distribute-lft-out_binary64
17×pow1_binary64
15×prod-exp_binary64 cbrt-unprod_binary64
pow-prod-down_binary64 associate-/l*_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/r/_binary64 associate-/r*_binary64
add-log-exp_binary64
associate-*l*_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 *-commutative_binary64
associate-*r/_binary64 frac-2neg_binary64 clear-num_binary64
Counts
3 → 151
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (*.f64 x 10) (sqrt.f64 10)) (/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y)))
7.0ms
(/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y))
6.0ms
(*.f64 (*.f64 x 10) (sqrt.f64 10))
Compiler

Compiled 2728 to 1915 computations (29.8% saved)

series141.0ms (5.7%)

Error
0b
Counts
3 → 45
Calls

3 calls:

64.0ms
(*.f64 (*.f64 (*.f64 x 10) (sqrt.f64 10)) (/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y)))
43.0ms
(/.f64 (sqrt.f64 (sqrt.f64 100)) (+.f64 x y))
9.0ms
(*.f64 (*.f64 x 10) (sqrt.f64 10))
Compiler

Compiled 1930 to 1721 computations (10.8% saved)

simplify175.0ms (7.1%)

Algorithm
egg-herbie
Rules
433×associate-*l*_binary64
425×associate-/r*_binary64
274×associate-*r*_binary64
238×associate-/l/_binary64
227×associate-/r/_binary64
220×sub-neg_binary64
149×*-commutative_binary64
140×associate-/l*_binary64
117×cancel-sign-sub-inv_binary64
105×associate-*r/_binary64
96×log-prod_binary64
94×times-frac_binary64
77×cube-prod_binary64
76×associate-*l/_binary64 associate-+l+_binary64 associate-+r+_binary64
71×exp-prod_binary64
67×neg-mul-1_binary64 neg-sub0_binary64 +-commutative_binary64
55×distribute-rgt-neg-in_binary64
53×distribute-rgt-in_binary64
52×div-sub_binary64 distribute-lft-neg-in_binary64
47×distribute-lft-in_binary64
46×*-lft-identity_binary64 distribute-neg-frac_binary64
45×unswap-sqr_binary64
43×associate-+l-_binary64
41×associate-+r-_binary64
39×unpow3_binary64
38×sqr-pow_binary64
37×associate--l+_binary64
36×log-div_binary64 *-rgt-identity_binary64
31×swap-sqr_binary64
28×cube-div_binary64
27×associate--r+_binary64
18×cube-mult_binary64
14×unsub-neg_binary64
13×distribute-rgt-out--_binary64 distribute-lft-out--_binary64
12×distribute-lft-out_binary64
11×distribute-rgt-out_binary64
cube-unmult_binary64 /-rgt-identity_binary64
distribute-neg-in_binary64
log-pow_binary64
unpow1/2_binary64 rem-sqrt-square_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 distribute-rgt1-in_binary64 associate--l-_binary64
pow-sqr_binary64 difference-of-squares_binary64 distribute-lft-neg-out_binary64
1-exp_binary64 exp-1-e_binary64 fabs-mul_binary64 rem-square-sqrt_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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-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 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64
Counts
196 → 176
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02323832
15743451
224413352
344493304
449763304
549673304

prune78.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1742176
Fresh202
Picked011
Done123
Total1775182
Error
0b
Counts
182 → 5
Compiler

Compiled 1672 to 1086 computations (35% saved)

regimes406.0ms (16.4%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

Compiler

Compiled 4689 to 3758 computations (19.9% 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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)

sample523.0ms (21.1%)

Algorithm
intervals
Results
195.0ms8000×body128valid
Compiler

Compiled 92 to 86 computations (6.5% saved)

Profiling

Loading profile data...