Details

Time bar (total: 10.3s)

analyze2.4s (23.7%)

Algorithm
search
egg-herbie
Rules
331×associate-+l+_binary64
298×associate-+r+_binary64
225×+-commutative_binary64
28×*-commutative_binary64
swap-x-y swap-z-t swap-a-b swap-c-i
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-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133638
1274638
2574638
3712638
4694638
5691638
088
188
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 16 to 16 computations (0% saved)

sample93.0ms (0.9%)

Algorithm
intervals
Results
13.0ms256×body128valid
10.0ms187×body128invalid
Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×associate-+l+_binary64
22×associate-+r+_binary64
17×+-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 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-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
12722
24722
36722
46722
56722

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 15 to 15 computations (0% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

rewrite50.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-log-exp_binary64
10×sum-log_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
associate-+l+_binary64
Counts
3 → 38
Calls

3 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 1006 to 161 computations (84% saved)

series255.0ms (2.5%)

Error
0.0b
Counts
3 → 108
Calls

3 calls:

118.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
77.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
39.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 2193 to 2266 computations (-3.3% saved)

simplify127.0ms (1.2%)

Algorithm
egg-herbie
Rules
679×distribute-rgt-in_binary64
640×distribute-lft-in_binary64
475×associate-*l*_binary64
359×associate-*r*_binary64
277×associate-+l+_binary64
242×sub-neg_binary64
139×cancel-sign-sub-inv_binary64
97×neg-mul-1_binary64
93×distribute-rgt-neg-in_binary64
84×unsub-neg_binary64
74×neg-sub0_binary64
72×distribute-lft-neg-in_binary64
62×associate--r+_binary64
54×*-commutative_binary64
47×sqr-pow_binary64 associate--l+_binary64
45×distribute-rgt-out_binary64
38×+-commutative_binary64
34×associate-+r-_binary64
24×distribute-lft-neg-out_binary64 associate-+l-_binary64
22×distribute-neg-in_binary64
21×prod-exp_binary64 distribute-rgt-out--_binary64 associate-+r+_binary64
20×unpow3_binary64
18×distribute-lft-out_binary64
17×unswap-sqr_binary64
16×exp-sum_binary64
14×cube-mult_binary64 cube-prod_binary64
exp-prod_binary64 swap-sqr_binary64 distribute-lft-out--_binary64
cube-unmult_binary64
pow-sqr_binary64
difference-of-squares_binary64 distribute-rgt-neg-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 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 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_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 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 distribute-rgt1-in_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 associate--l-_binary64
Counts
146 → 95
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0902264
12992219
210662201
347252201
449712201
550062201

prune29.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh000
Picked011
Done000
Total93396
Error
0.0b
Counts
96 → 3
Compiler

Compiled 821 to 162 computations (80.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))))
0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))

rewrite123.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))))
6.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
5.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
5.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
Compiler

Compiled 4939 to 419 computations (91.5% saved)

series1.4s (13.3%)

Error
0.0b
Counts
4 → 144
Calls

4 calls:

443.0ms
(*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y))))
267.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
263.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
260.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 x y)))
Compiler

Compiled 26998 to 15943 computations (40.9% saved)

simplify181.0ms (1.8%)

Algorithm
egg-herbie
Rules
548×times-frac_binary64
502×associate-/l*_binary64
362×associate-*l*_binary64
280×associate-/r*_binary64
222×*-commutative_binary64
192×associate-*l/_binary64 associate-*r/_binary64
79×associate-*r*_binary64
76×sqr-pow_binary64
68×+-commutative_binary64
58×distribute-rgt-in_binary64
54×distribute-lft-in_binary64
52×exp-prod_binary64
48×sub-neg_binary64 associate-/r/_binary64
40×neg-mul-1_binary64 neg-sub0_binary64
38×cancel-sign-sub-inv_binary64
33×distribute-rgt-neg-in_binary64
30×distribute-lft-neg-in_binary64 associate-+r+_binary64
22×log-prod_binary64
20×distribute-rgt-out_binary64
12×log-div_binary64 unpow1/3_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out--_binary64
11×distribute-lft-out_binary64
unpow2_binary64 unpow1_binary64 distribute-lft-neg-out_binary64
log-pow_binary64 log-rec_binary64 remove-double-neg_binary64
unswap-sqr_binary64
unpow3_binary64 cube-unmult_binary64 cube-mult_binary64 swap-sqr_binary64
cube-prod_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64
1-exp_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 difference-of-squares_binary64 count-2_binary64 associate--l+_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 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-identity_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 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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--r+_binary64 associate-+l-_binary64
Counts
231 → 200
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053210058
116659228
251599228

prune165.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh011
Picked011
Done011
Total1985203
Error
0.0b
Counts
203 → 5
Compiler

Compiled 9390 to 2187 computations (76.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
0.5b
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z)))) (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))))

rewrite105.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×cbrt-div_binary64
10×cbrt-prod_binary64
flip3-+_binary64 flip-+_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 frac-times_binary64
associate-*l/_binary64 associate-*r/_binary64
Counts
4 → 56
Calls

4 calls:

14.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z)))) (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))))
8.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
Compiler

Compiled 5051 to 470 computations (90.7% saved)

series1.2s (11.5%)

Error
0.0b
Counts
4 → 131
Calls

4 calls:

279.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
277.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
274.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))
208.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z)))) (cbrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 a b) (*.f64 t z))))))
Compiler

Compiled 32079 to 15264 computations (52.4% saved)

simplify238.0ms (2.3%)

Algorithm
egg-herbie
Rules
396×times-frac_binary64
364×associate-/l*_binary64
258×associate-*r*_binary64
253×*-commutative_binary64
201×associate-/r*_binary64
164×associate-*l*_binary64
153×unswap-sqr_binary64
140×cancel-sign-sub-inv_binary64
136×associate-*l/_binary64 associate-*r/_binary64
126×sqr-pow_binary64
113×sub-neg_binary64
108×+-commutative_binary64
96×exp-sum_binary64
59×neg-mul-1_binary64 neg-sub0_binary64
57×exp-prod_binary64
48×exp-to-pow_binary64
47×unsub-neg_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
41×distribute-rgt-neg-out_binary64
39×associate-+l+_binary64
38×distribute-neg-in_binary64 associate-+r+_binary64
36×log-prod_binary64
34×associate-/r/_binary64
30×distribute-neg-out_binary64 distribute-rgt-neg-in_binary64
28×distribute-lft-neg-in_binary64
24×exp-diff_binary64 div-sub_binary64
18×log-pow_binary64 pow-sqr_binary64
15×unpow1/3_binary64
12×log-div_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 associate--r-_binary64
11×distribute-rgt-out_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64
distribute-lft-neg-out_binary64 associate--r+_binary64
unpow3_binary64
log-rec_binary64 swap-sqr_binary64 distribute-lft-out_binary64
cube-prod_binary64
cube-mult_binary64 associate--l+_binary64
pow-plus_binary64
cube-unmult_binary64 rem-3cbrt-lft_binary64
1-exp_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64 associate-+l-_binary64 associate-+r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate--l-_binary64
Counts
187 → 173
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04097701
112217149
237007017
349786804
449876804

prune158.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done022
Total1735178
Error
0.0b
Counts
178 → 5
Compiler

Compiled 10552 to 1910 computations (81.9% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 a b) (*.f64 x y))

rewrite15.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 (*.f64 a b) (*.f64 x y))
Compiler

Compiled 222 to 58 computations (73.9% saved)

series42.0ms (0.4%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

40.0ms
(+.f64 (*.f64 a b) (*.f64 x y))
Compiler

Compiled 373 to 459 computations (-23.1% saved)

simplify109.0ms (1.1%)

Algorithm
egg-herbie
Rules
750×unsub-neg_binary64
663×distribute-rgt-in_binary64
556×distribute-lft-in_binary64
351×distribute-rgt-out_binary64
332×*-commutative_binary64
298×unswap-sqr_binary64
205×cancel-sign-sub-inv_binary64
196×associate-*l*_binary64
191×distribute-rgt-neg-in_binary64
168×neg-mul-1_binary64
161×sub-neg_binary64
155×neg-sub0_binary64
140×+-commutative_binary64
136×associate-*r*_binary64
131×distribute-lft-neg-in_binary64
116×associate--r+_binary64
112×distribute-lft-out_binary64
101×distribute-lft-neg-out_binary64
84×distribute-rgt-neg-out_binary64
83×associate-+l+_binary64
81×distribute-neg-in_binary64
80×sqr-pow_binary64
79×associate-+r+_binary64
73×exp-prod_binary64
67×associate--l+_binary64
56×associate-+l-_binary64
53×distribute-rgt-out--_binary64
51×associate--l-_binary64
45×mul0-rgt_binary64 mul0-lft_binary64
44×cancel-sign-sub_binary64
42×cube-prod_binary64
32×associate-/l/_binary64
31×count-2_binary64 associate--r-_binary64
29×sub0-neg_binary64
28×pow-sqr_binary64
27×unpow3_binary64
23×remove-double-neg_binary64
22×exp-sum_binary64
20×associate-/l*_binary64 associate-+r-_binary64
19×div-sub_binary64 distribute-neg-out_binary64
18×associate-*r/_binary64
15×exp-diff_binary64 distribute-rgt1-in_binary64
14×swap-sqr_binary64
11×distribute-lft-out--_binary64
10×cube-unmult_binary64 cube-div_binary64 +-rgt-identity_binary64
cube-neg_binary64
pow-plus_binary64 exp-lft-sqr_binary64 cube-mult_binary64 associate-/r/_binary64
sqr-neg_binary64 +-lft-identity_binary64
exp-sqrt_binary64 associate-*l/_binary64
*-lft-identity_binary64 difference-of-squares_binary64
unpow2_binary64 exp-neg_binary64 /-rgt-identity_binary64
prod-exp_binary64 1-exp_binary64 --rgt-identity_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/r*_binary64
Counts
35 → 7
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030376
1107355
2339355
3862355
41788355
53282355
64056355
74959355
84831355

prune7.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New707
Fresh011
Picked011
Done033
Total7512
Error
0.0b
Counts
12 → 5
Compiler

Compiled 126 to 41 computations (67.5% saved)

regimes1.6s (16%)

Accuracy

Total 0.0b remaining (29.8%)

Threshold costs 0.0b (29.8%)

Compiler

Compiled 32341 to 18023 computations (44.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
12322
22322

end86.0ms (0.8%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 135 to 135 computations (0% saved)

sample1.8s (17.2%)

Algorithm
intervals
Results
449.0ms8000×body128valid
332.0ms5666×body128invalid
Compiler

Compiled 213 to 158 computations (25.8% saved)

Profiling

Loading profile data...