Details

Time bar (total: 7.2s)

analyze1.3s (18.8%)

Algorithm
search
egg-herbie
Rules
340×associate-+l+_binary64
318×associate-+r+_binary64
246×+-commutative_binary64
65×*-commutative_binary64
41×distribute-rgt-out_binary64
22×associate-*l*_binary64
19×associate-*r*_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 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-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086352
1210304
2527304
3824304
4861304
5863304
6863304
066
166
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample36.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
5.0ms122×body128invalid
Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
24×associate-+l+_binary64
22×associate-+r+_binary64
19×+-commutative_binary64
10×*-commutative_binary64
distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_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 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-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
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01422
12719
25519
37719
48119
58119
68119

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 41 to 37 computations (9.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 y z))
0.0b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
0.0b
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
5.2b
(*.f64 (*.f64 a z) b)

rewrite77.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×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 *-un-lft-identity_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
associate-+l+_binary64
associate-*l*_binary64 *-commutative_binary64
Counts
4 → 56
Calls

4 calls:

10.0ms
(*.f64 (*.f64 a z) b)
8.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
5.0ms
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
3.0ms
(+.f64 x (*.f64 y z))
Compiler

Compiled 1296 to 224 computations (82.7% saved)

series231.0ms (3.2%)

Error
0.0b
Counts
4 → 93
Calls

4 calls:

93.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
55.0ms
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
27.0ms
(+.f64 x (*.f64 y z))
24.0ms
(*.f64 (*.f64 a z) b)
Compiler

Compiled 2157 to 1784 computations (17.3% saved)

simplify102.0ms (1.4%)

Algorithm
egg-herbie
Rules
891×distribute-rgt-in_binary64
850×distribute-lft-in_binary64
188×cancel-sign-sub-inv_binary64
170×associate-*l*_binary64
141×associate-*r*_binary64
131×sub-neg_binary64
130×distribute-rgt-neg-in_binary64
100×distribute-lft-neg-in_binary64
95×neg-mul-1_binary64 neg-sub0_binary64
80×*-commutative_binary64
55×unsub-neg_binary64
53×associate--l+_binary64
51×+-commutative_binary64
50×distribute-rgt-out_binary64
47×sqr-pow_binary64
42×associate-+l+_binary64
36×exp-prod_binary64
31×cube-prod_binary64
29×exp-sum_binary64 unswap-sqr_binary64
28×distribute-lft-neg-out_binary64
27×distribute-rgt-out--_binary64 distribute-lft-out_binary64
26×distribute-neg-in_binary64 associate-+r+_binary64
25×log-prod_binary64
17×swap-sqr_binary64
14×unpow3_binary64
13×prod-exp_binary64 distribute-lft-out--_binary64
10×cube-mult_binary64
*-rgt-identity_binary64
*-lft-identity_binary64 associate--r+_binary64
pow-sqr_binary64 difference-of-squares_binary64 distribute-rgt-neg-out_binary64 associate-+l-_binary64 associate-+r-_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_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 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 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 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-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
149 → 100
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291903
13671849
213831837
347981837
450011837

prune53.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh011
Picked101
Done000
Total984102
Error
0.0b
Counts
102 → 4
Compiler

Compiled 988 to 217 computations (78% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))
0.0b
(+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))))
0.0b
(+.f64 y (*.f64 a b))
1.7b
(*.f64 z (+.f64 y (*.f64 a b)))

rewrite80.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-log-exp_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
sum-log_binary64
flip3-+_binary64 flip-+_binary64
associate-*l*_binary64 associate-*r*_binary64 +-commutative_binary64 associate-+r+_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 59
Calls

4 calls:

6.0ms
(+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))))
6.0ms
(*.f64 z (+.f64 y (*.f64 a b)))
3.0ms
(+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))
3.0ms
(+.f64 y (*.f64 a b))
Compiler

Compiled 1272 to 262 computations (79.4% saved)

series245.0ms (3.4%)

Error
0.0b
Counts
4 → 105
Calls

4 calls:

87.0ms
(+.f64 (*.f64 a t) (+.f64 x (*.f64 z (+.f64 y (*.f64 a b)))))
66.0ms
(+.f64 x (*.f64 z (+.f64 y (*.f64 a b))))
42.0ms
(*.f64 z (+.f64 y (*.f64 a b)))
26.0ms
(+.f64 y (*.f64 a b))
Compiler

Compiled 2227 to 1914 computations (14.1% saved)

simplify103.0ms (1.4%)

Algorithm
egg-herbie
Rules
769×distribute-rgt-in_binary64
727×distribute-lft-in_binary64
280×sub-neg_binary64
208×associate-+l+_binary64
185×cancel-sign-sub-inv_binary64
124×associate-*l*_binary64
115×associate-*r*_binary64
111×neg-mul-1_binary64 neg-sub0_binary64
110×unsub-neg_binary64
103×distribute-rgt-neg-in_binary64
89×*-commutative_binary64
87×associate--r+_binary64
81×distribute-lft-neg-in_binary64
62×associate--l+_binary64
56×distribute-neg-in_binary64
49×exp-prod_binary64
40×exp-sum_binary64 sqr-pow_binary64
36×distribute-rgt-out_binary64
35×+-commutative_binary64
30×distribute-lft-neg-out_binary64
23×associate-+r-_binary64
19×distribute-rgt-out--_binary64 associate-+l-_binary64
18×cube-prod_binary64
16×distribute-lft-out_binary64 associate-+r+_binary64
14×*-rgt-identity_binary64 *-lft-identity_binary64 distribute-rgt-neg-out_binary64
12×unswap-sqr_binary64
11×unpow3_binary64
log-prod_binary64 cube-mult_binary64
swap-sqr_binary64
prod-exp_binary64 distribute-lft-out--_binary64
pow-sqr_binary64 difference-of-squares_binary64
associate--l-_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_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 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 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 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
Counts
164 → 109
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152209
13572050
212132050
347532050
451202050

prune57.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh033
Picked011
Done000
Total1085113
Error
0.0b
Counts
113 → 5
Compiler

Compiled 956 to 234 computations (75.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
0.0b
(+.f64 t (*.f64 z b))
0.0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))))
2.2b
(*.f64 a (+.f64 t (*.f64 z b)))

rewrite80.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-log-exp_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64
sum-log_binary64
flip3-+_binary64 flip-+_binary64
associate-*l*_binary64 associate-*r*_binary64 associate-+r+_binary64 +-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 distribute-lft-out_binary64
Counts
4 → 60
Calls

4 calls:

5.0ms
(*.f64 a (+.f64 t (*.f64 z b)))
5.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))))
4.0ms
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
3.0ms
(+.f64 t (*.f64 z b))
Compiler

Compiled 1292 to 262 computations (79.7% saved)

series249.0ms (3.5%)

Error
0.0b
Counts
4 → 105
Calls

4 calls:

89.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b)))))
74.0ms
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
41.0ms
(*.f64 a (+.f64 t (*.f64 z b)))
24.0ms
(+.f64 t (*.f64 z b))
Compiler

Compiled 2221 to 1909 computations (14% saved)

simplify139.0ms (1.9%)

Algorithm
egg-herbie
Rules
736×distribute-rgt-in_binary64
693×distribute-lft-in_binary64
209×associate-+l+_binary64
190×associate-+r+_binary64
182×cancel-sign-sub-inv_binary64
123×associate-*l*_binary64
114×associate-*r*_binary64
107×distribute-rgt-neg-in_binary64
88×*-commutative_binary64
87×associate--r+_binary64
85×distribute-lft-neg-in_binary64
62×associate--l+_binary64
59×sub-neg_binary64
56×distribute-neg-in_binary64
47×exp-prod_binary64
46×+-commutative_binary64
40×exp-sum_binary64 sqr-pow_binary64
34×neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-out_binary64
30×distribute-lft-neg-out_binary64
23×associate-+r-_binary64
21×distribute-rgt-out--_binary64
19×associate-+l-_binary64
16×distribute-lft-out_binary64
14×*-lft-identity_binary64 distribute-rgt-neg-out_binary64
13×*-rgt-identity_binary64
12×cube-prod_binary64 unswap-sqr_binary64
11×unpow3_binary64
log-prod_binary64 cube-mult_binary64
swap-sqr_binary64
unsub-neg_binary64
prod-exp_binary64 distribute-lft-out--_binary64
pow-sqr_binary64 difference-of-squares_binary64
associate--l-_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_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 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 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 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
Counts
165 → 86
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01202345
13552180
212112180
349802180
449992180
550162180

prune40.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh033
Picked011
Done011
Total85691
Error
0b
Counts
91 → 6
Compiler

Compiled 824 to 206 computations (75% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
0.5b
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
5.2b
(*.f64 (*.f64 a z) b)

rewrite74.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×*-un-lft-identity_binary64
12×cbrt-prod_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-div_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 pow1/3_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64
associate-*l*_binary64 *-commutative_binary64
Counts
4 → 60
Calls

4 calls:

7.0ms
(*.f64 (*.f64 a z) b)
6.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
6.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
5.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
Compiler

Compiled 2678 to 260 computations (90.3% saved)

series825.0ms (11.5%)

Error
0b
Counts
4 → 111
Calls

4 calls:

233.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
230.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
230.0ms
(cbrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 a t)) x))
26.0ms
(*.f64 (*.f64 a z) b)
Compiler

Compiled 19418 to 10625 computations (45.3% saved)

simplify197.0ms (2.8%)

Algorithm
egg-herbie
Rules
268×associate-*r*_binary64
249×cancel-sign-sub-inv_binary64
216×times-frac_binary64
215×associate-*l*_binary64
208×*-commutative_binary64
184×associate-/l*_binary64
167×unswap-sqr_binary64
155×distribute-rgt-in_binary64
135×distribute-lft-in_binary64
130×associate-/r*_binary64
112×sub-neg_binary64
111×exp-prod_binary64
104×sqr-pow_binary64
97×associate-/l/_binary64
96×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
88×associate-*l/_binary64 associate-*r/_binary64
87×+-commutative_binary64
83×distribute-lft-out_binary64
56×log-prod_binary64
49×distribute-neg-frac_binary64
43×neg-mul-1_binary64 neg-sub0_binary64
41×exp-sum_binary64
39×associate-+l+_binary64
35×distribute-neg-in_binary64
34×distribute-rgt-out_binary64
33×unsub-neg_binary64
28×associate-+r+_binary64
24×associate--l+_binary64
22×associate-/r/_binary64
18×cube-prod_binary64 associate--r+_binary64
17×unpow1/3_binary64
15×swap-sqr_binary64
14×distribute-lft-neg-out_binary64
10×log-pow_binary64 distribute-rgt-neg-out_binary64
log-div_binary64 unpow3_binary64 unpow1/2_binary64 exp-to-pow_binary64 exp-diff_binary64 div-sub_binary64 associate--r-_binary64
unpow2_binary64 unpow1_binary64 pow-sqr_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
pow-plus_binary64 distribute-neg-out_binary64
log-rec_binary64 cube-unmult_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64
difference-of-squares_binary64 distribute-rgt-out--_binary64
cube-mult_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 +-inverses_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-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 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 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
171 → 147
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02916362
18765774
228995306
348905222
449555222

prune110.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh033
Picked011
Done022
Total1476153
Error
0b
Counts
153 → 6
Compiler

Compiled 5908 to 1352 computations (77.1% saved)

regimes1.5s (21.3%)

Accuracy

Total 0.6b remaining (97.2%)

Threshold costs 0.6b (97.2%)

Compiler

Compiled 16519 to 12044 computations (27.1% saved)

bsearch29.0ms (0.4%)

Steps
ItersRangePoint
7
2.7165106450121756e-68
9.961741353130863e-67
2.6475876084449683e-67
1
-1.2214011800806045e+120
-2.0680499687825374e+119
-5.121552918984049e+119
Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_binary64
if-if-or-not_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_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
02655
14155
24155

end1.0ms (0%)

Compiler

Compiled 37 to 25 computations (32.4% saved)

sample1.5s (20.7%)

Algorithm
intervals
Results
580.0ms8000×body128valid
182.0ms3934×body128invalid
Compiler

Compiled 236 to 175 computations (25.8% saved)

Profiling

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