Details

Time bar (total: 2.7s)

analyze61.0ms (2.2%)

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 (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify15.0ms (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%)

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (1.1%)

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)

series45.0ms (1.6%)

Error
0.1b
Counts
1 → 24
Calls

1 calls:

36.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))
Compiler

Compiled 528 to 445 computations (15.7% saved)

simplify63.0ms (2.3%)

Algorithm
egg-herbie
Rules
774×cancel-sign-sub-inv_binary64
473×associate-/l*_binary64
448×times-frac_binary64
210×associate-/r*_binary64
192×associate-*l/_binary64
190×associate-*l*_binary64
182×associate-/l/_binary64
147×sub-neg_binary64 unswap-sqr_binary64
146×associate-*r/_binary64
142×associate-*r*_binary64
119×associate-/r/_binary64
92×*-commutative_binary64
56×neg-mul-1_binary64 neg-sub0_binary64
53×distribute-rgt-in_binary64
47×distribute-lft-in_binary64
41×distribute-rgt-neg-in_binary64
40×+-commutative_binary64
38×distribute-lft-neg-in_binary64
34×sqr-pow_binary64
33×distribute-neg-frac_binary64
32×*-rgt-identity_binary64
31×associate--l+_binary64
30×associate-+l+_binary64
29×div-sub_binary64
28×associate-+l-_binary64 associate-+r+_binary64
26×cube-div_binary64 cube-prod_binary64
25×log-div_binary64 unsub-neg_binary64
21×associate-+r-_binary64
18×log-prod_binary64 swap-sqr_binary64
17×associate--r+_binary64
14×+-rgt-identity_binary64
12×sub0-neg_binary64 distribute-rgt-out--_binary64
11×distribute-lft-out_binary64
10×distribute-neg-in_binary64 distribute-rgt-out_binary64
unpow3_binary64 cube-unmult_binary64 difference-of-squares_binary64
associate--l-_binary64
distribute-lft-out--_binary64
pow-plus_binary64 /-rgt-identity_binary64 *-lft-identity_binary64
exp-prod_binary64 cube-mult_binary64 distribute-rgt1-in_binary64
distribute-lft-neg-out_binary64
log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 pow-sqr_binary64
log-rec_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 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 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 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 count-2_binary64 associate--r-_binary64
Counts
49 → 34
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090915
1253834
2844789
33584780
45051780

prune20.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh000
Picked011
Done000
Total29635
Error
0.0b
Counts
35 → 6
Compiler

Compiled 326 to 167 computations (48.8% 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)))

rewrite77.0ms (2.8%)

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:

9.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
5.0ms
(/.f64 100 (+.f64 x y))
Compiler

Compiled 915 to 456 computations (50.2% saved)

series82.0ms (3%)

Error
0.0b
Counts
2 → 48
Calls

2 calls:

34.0ms
(/.f64 100 (+.f64 x y))
33.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 1168 to 973 computations (16.7% saved)

simplify129.0ms (4.7%)

Algorithm
egg-herbie
Rules
515×times-frac_binary64
425×associate-/l*_binary64
355×associate-*l*_binary64
344×sub-neg_binary64
279×associate-*r/_binary64 associate-*r*_binary64
260×associate-/r*_binary64
246×associate-*l/_binary64
164×cancel-sign-sub-inv_binary64
128×neg-mul-1_binary64
125×div-sub_binary64
107×neg-sub0_binary64
75×*-commutative_binary64
74×associate-/r/_binary64
68×distribute-rgt-neg-in_binary64
67×distribute-rgt-in_binary64
62×associate--l+_binary64
61×distribute-lft-neg-in_binary64
60×unsub-neg_binary64
57×distribute-neg-frac_binary64 distribute-lft-in_binary64
49×associate-/l/_binary64
47×*-lft-identity_binary64
46×*-rgt-identity_binary64 associate-+l+_binary64
45×cube-prod_binary64 sqr-pow_binary64
43×associate-+l-_binary64
42×cube-div_binary64 +-commutative_binary64
39×associate--r+_binary64
36×associate-+r-_binary64
34×/-rgt-identity_binary64
33×log-prod_binary64
28×distribute-lft-out--_binary64 distribute-lft-out_binary64
27×log-div_binary64 unswap-sqr_binary64
25×unpow3_binary64
24×exp-prod_binary64 +-rgt-identity_binary64
21×cube-mult_binary64 sub0-neg_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
18×distribute-neg-in_binary64
10×pow-plus_binary64
cube-unmult_binary64
distribute-rgt1-in_binary64
pow-sqr_binary64 swap-sqr_binary64
rem-sqrt-square_binary64 distribute-lft-neg-out_binary64
log-rec_binary64 unpow1/2_binary64
log-pow_binary64
unpow2_binary64 unpow1_binary64 remove-double-div_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_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 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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+r+_binary64
Counts
118 → 69
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01572063
14001916
212651862
343731853
446381853
550161853

prune35.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh314
Picked101
Done011
Total69675
Error
0.0b
Counts
75 → 6
Compiler

Compiled 551 to 284 computations (48.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (sqrt.f64 100) (+.f64 x y))
0.3b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))

rewrite95.0ms (3.5%)

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)

series84.0ms (3%)

Error
0.0b
Counts
2 → 48
Calls

2 calls:

34.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
33.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))
Compiler

Compiled 1232 to 1037 computations (15.8% saved)

simplify144.0ms (5.2%)

Algorithm
egg-herbie
Rules
653×associate-/l*_binary64
581×times-frac_binary64
378×associate-*l/_binary64
281×associate-/r*_binary64
179×associate-*l*_binary64
166×cancel-sign-sub-inv_binary64
144×associate-*r*_binary64
125×sub-neg_binary64
121×*-commutative_binary64
98×associate-/r/_binary64
92×associate-/l/_binary64
87×associate-*r/_binary64
83×neg-mul-1_binary64 neg-sub0_binary64
73×distribute-rgt-neg-in_binary64
66×distribute-lft-neg-in_binary64
57×distribute-rgt-in_binary64
55×distribute-neg-frac_binary64
47×distribute-lft-in_binary64
44×+-commutative_binary64
40×div-sub_binary64
34×log-div_binary64 unsub-neg_binary64
31×log-prod_binary64
29×cube-div_binary64
28×exp-prod_binary64 cube-prod_binary64
27×distribute-lft-out--_binary64
26×sqr-pow_binary64 distribute-lft-out_binary64
25×unpow3_binary64 unswap-sqr_binary64
24×associate--l+_binary64
23×*-rgt-identity_binary64
22×*-lft-identity_binary64 distribute-rgt-out--_binary64
21×distribute-rgt-out_binary64
18×distribute-neg-in_binary64
17×associate--r+_binary64
13×swap-sqr_binary64 associate-+l+_binary64
cube-mult_binary64
cube-unmult_binary64
/-rgt-identity_binary64 distribute-rgt1-in_binary64
distribute-lft-neg-out_binary64
pow-plus_binary64
log-pow_binary64 log-rec_binary64 unpow1/2_binary64 rem-sqrt-square_binary64 associate-+r-_binary64 associate-+r+_binary64
unpow2_binary64 unpow1_binary64 difference-of-squares_binary64
1-exp_binary64 exp-1-e_binary64 pow-sqr_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 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 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 associate--l-_binary64
Counts
146 → 124
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01772570
14812387
217442342
346692333
449862333
549782333

prune57.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh134
Picked011
Done011
Total1246130
Error
0b
Counts
130 → 6
Compiler

Compiled 1158 to 640 computations (44.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x y) 10)
0.2b
(*.f64 x (/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10)))
0.3b
(/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10))

rewrite280.0ms (10.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
366×times-frac_binary64
270×*-un-lft-identity_binary64
200×add-sqr-sqrt_binary64
184×add-cube-cbrt_binary64
101×sqrt-prod_binary64 associate-*r*_binary64
43×distribute-lft-out_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
16×div-inv_binary64
10×associate-/l*_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 unswap-sqr_binary64
add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
frac-2neg_binary64 clear-num_binary64 associate-/r/_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 flip3-+_binary64 flip-+_binary64
Counts
3 → 291
Calls

3 calls:

33.0ms
(*.f64 x (/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10)))
9.0ms
(/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10))
5.0ms
(/.f64 (+.f64 x y) 10)
Compiler

Compiled 4804 to 3146 computations (34.5% saved)

series104.0ms (3.8%)

Error
0b
Counts
3 → 60
Calls

3 calls:

34.0ms
(/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10))
32.0ms
(*.f64 x (/.f64 (sqrt.f64 100) (/.f64 (+.f64 x y) 10)))
20.0ms
(/.f64 (+.f64 x y) 10)
Compiler

Compiled 1388 to 1174 computations (15.4% saved)

simplify288.0ms (10.5%)

Algorithm
egg-herbie
Rules
608×associate-/r*_binary64
276×sub-neg_binary64
229×associate-/r/_binary64
203×associate-*r/_binary64 *-commutative_binary64
198×associate-*l*_binary64
194×associate-/l*_binary64
185×associate-/l/_binary64
171×cancel-sign-sub-inv_binary64
148×associate-*r*_binary64
132×associate-*l/_binary64
108×div-sub_binary64
93×times-frac_binary64
86×neg-mul-1_binary64 neg-sub0_binary64
81×+-commutative_binary64
69×distribute-rgt-neg-in_binary64 distribute-rgt-in_binary64
67×associate--l+_binary64
63×distribute-lft-neg-in_binary64
61×cube-div_binary64 unsub-neg_binary64
59×log-div_binary64 cube-prod_binary64 sqr-pow_binary64
58×distribute-neg-frac_binary64
56×*-rgt-identity_binary64
54×associate-+l+_binary64
53×distribute-lft-in_binary64
49×associate-+l-_binary64
48×log-prod_binary64
47×unswap-sqr_binary64
44×associate--r+_binary64 associate-+r-_binary64
43×*-lft-identity_binary64 associate-+r+_binary64
38×/-rgt-identity_binary64
35×exp-prod_binary64
29×distribute-lft-out_binary64
28×distribute-lft-out--_binary64
27×+-rgt-identity_binary64
26×unpow3_binary64
24×distribute-rgt-out--_binary64
23×cube-mult_binary64 sub0-neg_binary64 distribute-rgt-out_binary64
20×swap-sqr_binary64 distribute-neg-in_binary64
15×difference-of-squares_binary64
log-rec_binary64 cube-unmult_binary64
distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64
rem-sqrt-square_binary64 pow-sqr_binary64
unpow1/2_binary64 associate--r-_binary64
pow-plus_binary64
log-pow_binary64 remove-double-div_binary64 associate--l-_binary64
unpow2_binary64 unpow1_binary64 --rgt-identity_binary64 distribute-rgt-neg-out_binary64
exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-lft-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-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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_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-lft1-in_binary64 count-2_binary64
Counts
351 → 328
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03287006
18006357
227596159
343016159
448256159
549546159

prune150.0ms (5.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3271328
Fresh123
Picked011
Done112
Total3295334
Error
0b
Counts
334 → 5
Compiler

Compiled 3246 to 1932 computations (40.5% saved)

regimes404.0ms (14.7%)

Accuracy

Total 0.2b remaining (94.7%)

Threshold costs 0.2b (94.7%)

Compiler

Compiled 3965 to 3210 computations (19% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64 *-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 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
0910
11310
21110

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample541.0ms (19.7%)

Algorithm
intervals
Results
198.0ms8000×body128valid
Compiler

Compiled 77 to 77 computations (0% saved)

Profiling

Loading profile data...