Details

Time bar (total: 5.0s)

analyze495.0ms (10%)

Algorithm
search
egg-herbie
Rules
617×sub-neg_binary64
548×cancel-sign-sub-inv_binary64
265×associate--r+_binary64
260×distribute-rgt-in_binary64
259×associate-+l-_binary64
242×associate--r-_binary64
241×distribute-neg-in_binary64
207×associate--l+_binary64
167×unsub-neg_binary64
121×+-commutative_binary64
116×distribute-rgt-neg-in_binary64 associate-+r+_binary64
111×associate-+l+_binary64
96×neg-mul-1_binary64
91×distribute-lft-neg-out_binary64
90×cancel-sign-sub_binary64
87×sub0-neg_binary64
83×associate--l-_binary64
80×neg-sub0_binary64
73×*-commutative_binary64
64×associate-+r-_binary64
62×distribute-lft-neg-in_binary64
46×distribute-lft-in_binary64
36×distribute-rgt-neg-out_binary64
35×remove-double-neg_binary64
21×+-rgt-identity_binary64
20×distribute-lft-out--_binary64
18×--rgt-identity_binary64 associate-*l*_binary64
15×*-lft-identity_binary64
distribute-neg-out_binary64
*-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
distribute-lft-out_binary64
+-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02568
15468
214268
340468
473368
5143468
6150068
7159668
8167468
9167868
10167868
11172268
12172268
13168768
033
133
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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
26.5%73.3%0.1%8
33.5%66.3%0.1%9
49.1%50.7%0.1%10
56.9%42.9%0.1%11
60.8%39%0.1%12
69%30.9%0.1%13
72.5%27.3%0.1%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample31.0ms (0.6%)

Algorithm
intervals
Results
10.0ms90×body1024valid
3.0ms34×body512valid
3.0ms21×body2048valid
3.0ms88×body128valid
1.0ms23×body256valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify30.0ms (0.6%)

Algorithm
egg-herbie
Rules
202×cancel-sign-sub-inv_binary64
170×sub-neg_binary64
91×associate--r+_binary64
82×associate-+l-_binary64
77×distribute-rgt-in_binary64 associate--l+_binary64
74×distribute-neg-in_binary64
49×associate--r-_binary64
39×distribute-rgt-neg-in_binary64
38×associate-+r+_binary64
37×associate-+l+_binary64
33×+-commutative_binary64
31×neg-mul-1_binary64
30×unsub-neg_binary64
28×distribute-lft-neg-out_binary64
27×neg-sub0_binary64
24×sub0-neg_binary64
22×*-commutative_binary64
21×associate--l-_binary64
20×distribute-lft-neg-in_binary64 associate-+r-_binary64
13×distribute-rgt-neg-out_binary64
12×remove-double-neg_binary64 distribute-lft-in_binary64
--rgt-identity_binary64 +-rgt-identity_binary64
*-lft-identity_binary64 distribute-lft-out--_binary64 associate-*l*_binary64
mul0-rgt_binary64 mul0-lft_binary64 cancel-sign-sub_binary64
*-rgt-identity_binary64 distribute-neg-out_binary64 associate-*r*_binary64
1-exp_binary64 +-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
12117
24817
312917
423117
542517
650017
751517
853417
953517
1050417

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
41.3b
Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.4b
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
40.9b
Rules
10×add-log-exp_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64 cancel-sign-sub-inv_binary64
sum-log_binary64 diff-log_binary64
add-cube-cbrt_binary64 distribute-lft-out_binary64 distribute-lft-out--_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 associate--r+_binary64
Counts
1 → 21
Calls

1 calls:

9.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
Compiler

Compiled 428 to 155 computations (63.8% saved)

series42.0ms (0.8%)

Error
40.2b
Counts
1 → 18
Calls

1 calls:

35.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
Compiler

Compiled 306 to 237 computations (22.5% saved)

simplify73.0ms (1.5%)

Algorithm
egg-herbie
Rules
433×cancel-sign-sub-inv_binary64
381×distribute-rgt-in_binary64
371×distribute-lft-in_binary64
338×neg-mul-1_binary64
314×distribute-rgt-out_binary64
268×distribute-neg-in_binary64
194×associate-*r*_binary64
191×associate-*l*_binary64
185×distribute-lft-out_binary64
170×associate-+l+_binary64
162×times-frac_binary64
161×associate-+r+_binary64
155×sub-neg_binary64
148×exp-sum_binary64
139×distribute-rgt-neg-out_binary64
136×distribute-lft-neg-out_binary64
119×exp-prod_binary64
104×unsub-neg_binary64
72×exp-diff_binary64
70×associate--r+_binary64
50×+-commutative_binary64
47×*-commutative_binary64
41×distribute-rgt-out--_binary64
40×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
35×neg-sub0_binary64
34×sqr-pow_binary64
29×associate-+l-_binary64
25×*-rgt-identity_binary64
24×*-lft-identity_binary64
22×swap-sqr_binary64
18×cube-prod_binary64
16×unswap-sqr_binary64
12×sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
11×associate-+r-_binary64
10×+-rgt-identity_binary64 difference-of-squares_binary64 distribute-rgt1-in_binary64 associate--l+_binary64
cube-unmult_binary64 div-sub_binary64
div-exp_binary64
unpow3_binary64 mul-1-neg_binary64 distribute-lft1-in_binary64
prod-exp_binary64 sqr-neg_binary64 pow-sqr_binary64
pow-plus_binary64 distribute-neg-out_binary64
log-prod_binary64 unpow1/2_binary64 cube-mult_binary64 rem-sqrt-square_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 difference-of-sqr-1_binary64 associate-/l/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64
Counts
39 → 35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063729
1161684
2474684
32516675
44337675
54940675

prune20.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New30535
Fresh000
Picked101
Done000
Total31536
Error
40.2b
Counts
36 → 5
Compiler

Compiled 348 to 168 computations (51.7% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.4b
(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
40.2b
Rules
10×add-log-exp_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
sum-log_binary64 diff-log_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate--r+_binary64
Counts
1 → 19
Calls

1 calls:

7.0ms
(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))
Compiler

Compiled 482 to 238 computations (50.6% saved)

series41.0ms (0.8%)

Error
40.2b
Counts
1 → 18
Calls

1 calls:

36.0ms
(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))
Compiler

Compiled 402 to 333 computations (17.2% saved)

simplify77.0ms (1.5%)

Algorithm
egg-herbie
Rules
380×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
365×neg-sub0_binary64
362×neg-mul-1_binary64
343×cancel-sign-sub-inv_binary64
283×distribute-neg-in_binary64
215×distribute-rgt-out_binary64
190×associate-*l*_binary64
187×associate-*r*_binary64
185×distribute-lft-out_binary64
161×times-frac_binary64
159×associate-+r+_binary64
142×exp-sum_binary64
139×distribute-rgt-neg-out_binary64
138×associate-+l+_binary64
136×distribute-lft-neg-out_binary64
125×sub-neg_binary64
112×exp-prod_binary64
93×unsub-neg_binary64
80×distribute-lft-neg-in_binary64
79×distribute-rgt-neg-in_binary64
69×exp-diff_binary64 associate--r+_binary64
62×*-commutative_binary64
50×+-commutative_binary64
46×associate--l-_binary64
38×associate-/r*_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64
30×sqr-pow_binary64
21×associate-+l-_binary64
18×cube-prod_binary64 unswap-sqr_binary64
16×div-exp_binary64 swap-sqr_binary64
12×mul0-rgt_binary64 mul0-lft_binary64
11×distribute-rgt-out--_binary64
10×difference-of-squares_binary64
sub0-neg_binary64 +-rgt-identity_binary64 associate-/l*_binary64 associate-+r-_binary64
cube-unmult_binary64 associate-/l/_binary64
prod-exp_binary64 associate--l+_binary64
unpow3_binary64 div-sub_binary64 mul-1-neg_binary64 distribute-lft-out--_binary64
pow-plus_binary64 sqr-neg_binary64 pow-sqr_binary64 associate--r-_binary64
distribute-rgt1-in_binary64
associate-*l/_binary64
log-prod_binary64 cube-mult_binary64 rem-sqrt-square_binary64
rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate-/r/_binary64
Counts
37 → 26
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061703
1154668
2474660
32455651
44206651
55165651

prune14.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh044
Picked011
Done000
Total24731
Error
40.2b
Counts
31 → 7
Compiler

Compiled 235 to 142 computations (39.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.7b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
40.2b
Rules
add-log-exp_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
cancel-sign-sub-inv_binary64
diff-log_binary64 add-cube-cbrt_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate--r+_binary64
Counts
1 → 18
Calls

1 calls:

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

Compiled 349 to 146 computations (58.2% saved)

series29.0ms (0.6%)

Error
40.1b
Counts
1 → 15
Calls

1 calls:

27.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))
Compiler

Compiled 233 to 192 computations (17.6% saved)

simplify81.0ms (1.6%)

Algorithm
egg-herbie
Rules
446×associate-+l+_binary64
393×times-frac_binary64
334×distribute-neg-in_binary64
315×distribute-rgt-neg-in_binary64
307×sub-neg_binary64
278×cancel-sign-sub-inv_binary64
277×*-commutative_binary64
208×unsub-neg_binary64
146×associate-*r*_binary64
145×associate-*l*_binary64
143×distribute-lft-neg-out_binary64
137×distribute-rgt-neg-out_binary64
131×neg-sub0_binary64
130×+-commutative_binary64
128×distribute-rgt-out_binary64
127×neg-mul-1_binary64
119×distribute-rgt-in_binary64
118×exp-prod_binary64
112×distribute-lft-in_binary64 associate--r+_binary64
99×distribute-neg-out_binary64
86×exp-sum_binary64
83×sqr-pow_binary64
82×unswap-sqr_binary64
66×distribute-lft-out_binary64
62×distribute-lft-neg-in_binary64
59×associate-+l-_binary64
47×exp-diff_binary64
42×associate-+r+_binary64
40×cancel-sign-sub_binary64
38×associate-+r-_binary64
35×difference-of-squares_binary64
30×cube-prod_binary64 associate--l+_binary64
28×distribute-rgt-out--_binary64
22×sub0-neg_binary64 pow-sqr_binary64
20×*-rgt-identity_binary64 swap-sqr_binary64
17×*-lft-identity_binary64 associate-/r*_binary64
15×cube-unmult_binary64 sqr-neg_binary64
14×remove-double-neg_binary64 +-rgt-identity_binary64 associate--l-_binary64
12×distribute-lft-out--_binary64
11×pow-plus_binary64
10×rem-sqrt-square_binary64
+-lft-identity_binary64
unpow3_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt1-in_binary64
div-sub_binary64 mul-1-neg_binary64
div-exp_binary64 distribute-lft1-in_binary64
cube-neg_binary64 associate-/l*_binary64
unpow1/2_binary64 --rgt-identity_binary64
log-prod_binary64 distribute-frac-neg_binary64 associate-/l/_binary64
exp-neg_binary64 cube-mult_binary64 difference-of-sqr-1_binary64 associate-*r/_binary64 associate--r-_binary64
unpow2_binary64 rec-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 associate-*l/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 distribute-neg-frac_binary64 count-2_binary64 associate-/r/_binary64
Counts
33 → 22
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052553
1129516
2299516
31255510
42815510
54696510
65285510

prune9.0ms (0.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New21122
Fresh055
Picked011
Done011
Total21829
Error
40.2b
Counts
29 → 8
Compiler

Compiled 197 to 110 computations (44.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)
2.4b
(sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y)))
8.7b
(/.f64 (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
19.1b
(-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4))

rewrite307.0ms (6.2%)

Algorithm
rewrite-expression-head
Error
40.2b
Rules
43×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
28×times-frac_binary64
24×add-cube-cbrt_binary64 unpow-prod-down_binary64 difference-of-squares_binary64
15×sqrt-prod_binary64
10×cancel-sign-sub-inv_binary64
sqr-pow_binary64 distribute-lft-out_binary64
pow1_binary64 add-exp-log_binary64 associate-/l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
associate-/r*_binary64
pow-unpow_binary64 pow-pow_binary64
flip3--_binary64 flip--_binary64 associate-/l/_binary64 flip3-+_binary64 associate-/r/_binary64 flip-+_binary64 pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64
diff-log_binary64 sub-neg_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 rem-sqrt-square_binary64 pow-to-exp_binary64 pow-exp_binary64 sqrt-pow2_binary64
Counts
4 → 119
Calls

4 calls:

18.0ms
(/.f64 (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
12.0ms
(-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4))
7.0ms
(pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)
5.0ms
(sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y)))
Compiler

Compiled 5225 to 2238 computations (57.2% saved)

series454.0ms (9.1%)

Error
40.1b
Counts
4 → 76
Calls

4 calls:

157.0ms
(/.f64 (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
105.0ms
(pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4)
88.0ms
(-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y))) 4))
37.0ms
(sqrt.f64 (+.f64 (+.f64 z 1) (*.f64 x y)))
Compiler

Compiled 7795 to 4532 computations (41.9% saved)

simplify248.0ms (5%)

Algorithm
egg-herbie
Rules
342×associate-+r+_binary64
250×+-commutative_binary64
223×associate-+l+_binary64
173×associate-/l*_binary64
167×associate-*r*_binary64
155×times-frac_binary64
141×distribute-rgt-in_binary64
137×associate-*l*_binary64
134×div-sub_binary64
132×*-commutative_binary64
129×distribute-lft-in_binary64
112×neg-sub0_binary64
109×neg-mul-1_binary64
99×associate-/r*_binary64
93×associate--r+_binary64
80×sub-neg_binary64
62×sqr-pow_binary64
57×unsub-neg_binary64
56×exp-sum_binary64
53×distribute-neg-in_binary64
47×cancel-sign-sub-inv_binary64
46×associate-/r/_binary64
45×associate--l+_binary64
44×exp-prod_binary64
38×associate-*l/_binary64
33×associate-/l/_binary64 associate-*r/_binary64
31×distribute-rgt-neg-in_binary64
29×unpow3_binary64
24×log-prod_binary64
23×cube-prod_binary64 unswap-sqr_binary64 distribute-lft-neg-in_binary64
15×unpow2_binary64 unpow1_binary64 distribute-rgt-out_binary64
13×log-pow_binary64
12×log-div_binary64
11×pow-plus_binary64 cube-mult_binary64
10×distribute-lft-neg-out_binary64
unpow1/2_binary64
cube-unmult_binary64 /-rgt-identity_binary64
exp-diff_binary64 cube-div_binary64 rem-sqrt-square_binary64
difference-of-squares_binary64
mul-1-neg_binary64 associate-+r-_binary64
pow-sqr_binary64 distribute-rgt-neg-out_binary64
rem-square-sqrt_binary64 distribute-lft-out_binary64
log-rec_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-rgt-out--_binary64
div-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 *-inverses_binary64 difference-of-sqr-1_binary64 associate--r-_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 rec-exp_binary64 prod-exp_binary64 exp-neg_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-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 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l-_binary64
Counts
195 → 167
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04009098
111428292
243288262
349748262
449688262

prune232.0ms (4.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New14720167
Fresh145
Picked101
Done112
Total15025175
Error
40.0b
Counts
175 → 25
Compiler

Compiled 5283 to 2340 computations (55.7% saved)

regimes951.0ms (19.1%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 24318 to 13620 computations (44% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end1.0ms (0%)

Compiler

Compiled 1 to 4 computations (-300% saved)

sample1.7s (34.4%)

Algorithm
intervals
Results
322.0ms2700×body1024valid
172.0ms1113×body2048valid
113.0ms1253×body512valid
80.0ms2334×body128valid
38.0ms598×body256valid
0.0msbody4096valid
Compiler

Compiled 1176 to 678 computations (42.3% saved)

Profiling

Loading profile data...