Details

Time bar (total: 2.8s)

analyze31.0ms (1.1%)

Algorithm
search
egg-herbie
Rules
16×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×distribute-rgt-in_binary64
neg-mul-1_binary64
associate--r+_binary64
unsub-neg_binary64
neg-sub0_binary64 +-commutative_binary64
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64
*-lft-identity_binary64 sub0-neg_binary64 associate-+l-_binary64
+-lft-identity_binary64 distribute-rgt-neg-out_binary64 associate-+l+_binary64 *-commutative_binary64
*-rgt-identity_binary64 distribute-neg-frac_binary64
1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64 associate--l+_binary64 associate-+r-_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 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 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_binary64 distribute-frac-neg_binary64 distribute-neg-out_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 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--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32816
43516
55116
67316
78216
89416
99616
109016
117616
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.7%)

Algorithm
intervals
Results
5.0ms62×body512valid
5.0ms158×body128valid
1.0ms13×body1024valid
1.0ms23×body256valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Rules
16×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×distribute-rgt-in_binary64
neg-mul-1_binary64
associate--r+_binary64
unsub-neg_binary64
neg-sub0_binary64 +-commutative_binary64
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64
*-lft-identity_binary64 sub0-neg_binary64 associate-+l-_binary64
+-lft-identity_binary64 distribute-rgt-neg-out_binary64 associate-+l+_binary64 *-commutative_binary64
*-rgt-identity_binary64 distribute-neg-frac_binary64
1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64 associate--l+_binary64 associate-+r-_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 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 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_binary64 distribute-frac-neg_binary64 distribute-neg-out_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 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--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32816
43516
55116
67316
78216
89416
99616
109016
117616

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
11.6b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 x 1))
2.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite171.0ms (6.2%)

Algorithm
rewrite-expression-head
Error
10.8b
Rules
100×*-un-lft-identity_binary64
85×add-sqr-sqrt_binary64
78×times-frac_binary64
33×add-cube-cbrt_binary64
30×distribute-lft-out--_binary64
27×cancel-sign-sub-inv_binary64
23×difference-of-squares_binary64
difference-of-sqr-1_binary64 associate-/r*_binary64
add-exp-log_binary64 div-inv_binary64 associate-/r/_binary64 distribute-lft-out_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 flip--_binary64
pow1_binary64 flip3--_binary64 associate-/l*_binary64
div-exp_binary64
diff-log_binary64 frac-sub_binary64 sub-neg_binary64 flip-+_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 114
Calls

2 calls:

32.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 1790 to 1495 computations (16.5% saved)

series34.0ms (1.2%)

Error
0.5b
Counts
2 → 13
Calls

2 calls:

12.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
12.0ms
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 357 to 315 computations (11.8% saved)

simplify121.0ms (4.4%)

Algorithm
egg-herbie
Rules
605×div-sub_binary64
252×cancel-sign-sub-inv_binary64
206×associate-*l/_binary64
203×associate-*l*_binary64
202×associate-/l*_binary64 associate-*r*_binary64
190×times-frac_binary64
187×exp-prod_binary64
162×associate-*r/_binary64
158×sub-neg_binary64
140×distribute-rgt-neg-in_binary64
133×distribute-neg-frac_binary64
132×distribute-rgt-in_binary64
121×associate-/r*_binary64
116×unsub-neg_binary64
114×distribute-lft-neg-in_binary64
113×distribute-lft-neg-out_binary64
109×distribute-lft-in_binary64
105×distribute-rgt-out_binary64
104×*-commutative_binary64
96×distribute-rgt-neg-out_binary64
83×neg-sub0_binary64
72×cube-prod_binary64
69×log-prod_binary64
68×neg-mul-1_binary64
59×associate-/r/_binary64 +-commutative_binary64
58×distribute-frac-neg_binary64
56×distribute-neg-in_binary64
55×cube-div_binary64
52×associate-/l/_binary64
49×exp-sum_binary64
48×sqr-pow_binary64
44×swap-sqr_binary64
43×log-div_binary64
40×*-rgt-identity_binary64
39×unswap-sqr_binary64
38×exp-diff_binary64
34×distribute-lft-out_binary64
33×associate-+r+_binary64
30×unpow3_binary64 *-lft-identity_binary64
29×associate-+r-_binary64
28×sqr-neg_binary64 distribute-rgt-out--_binary64
26×associate-+l+_binary64
24×associate-+l-_binary64
21×mul0-rgt_binary64 mul0-lft_binary64
19×cube-mult_binary64
18×/-rgt-identity_binary64 associate--r+_binary64
16×cube-unmult_binary64
15×exp-neg_binary64 +-rgt-identity_binary64
13×sub0-neg_binary64 div0_binary64
11×difference-of-squares_binary64
10×log-rec_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64
pow-plus_binary64
associate--l+_binary64
mul-1-neg_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--l-_binary64
pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
log-pow_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 +-inverses_binary64 lft-mult-inverse_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 remove-double-neg_binary64 --rgt-identity_binary64 *-inverses_binary64 cancel-sign-sub_binary64 count-2_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 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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64
Counts
127 → 118
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01422159
13642105
29741973
328261957
441341957
551051957

prune44.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1171118
Fresh000
Picked101
Done000
Total1181119
Error
0.5b
Counts
119 → 1
Compiler

Compiled 923 to 754 computations (18.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b
(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite40.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
difference-of-sqr--1_binary64 associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 33
Calls

1 calls:

6.0ms
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 509 to 346 computations (32% saved)

series14.0ms (0.5%)

Error
0.5b
Counts
1 → 5
Calls

1 calls:

12.0ms
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 120 to 113 computations (5.8% saved)

simplify66.0ms (2.4%)

Algorithm
egg-herbie
Rules
787×div-sub_binary64
548×times-frac_binary64
417×associate-/r*_binary64
253×associate-/l/_binary64
232×associate-/l*_binary64
162×associate-*l/_binary64
130×associate--r+_binary64
112×distribute-rgt-in_binary64
110×associate-*l*_binary64
108×associate-*r/_binary64
100×cancel-sign-sub-inv_binary64 distribute-lft-in_binary64
89×distribute-lft-out_binary64
87×associate-/r/_binary64
80×associate-*r*_binary64
74×distribute-neg-in_binary64
73×distribute-rgt-out_binary64
69×unswap-sqr_binary64
55×associate-+l-_binary64
54×associate--l+_binary64
53×cube-prod_binary64
52×sub-neg_binary64
49×*-commutative_binary64
47×distribute-rgt-neg-in_binary64
43×associate-+r-_binary64
42×distribute-lft-neg-in_binary64
40×log-prod_binary64
39×unsub-neg_binary64 distribute-lft-neg-out_binary64
38×distribute-neg-frac_binary64
37×distribute-rgt-neg-out_binary64
29×neg-sub0_binary64
27×distribute-rgt-out--_binary64
26×neg-mul-1_binary64
23×associate--r-_binary64
20×sqr-pow_binary64
19×associate-+l+_binary64
17×distribute-lft-out--_binary64
16×unpow3_binary64 +-commutative_binary64
14×log-div_binary64
13×cube-div_binary64
12×swap-sqr_binary64
11×associate-+r+_binary64
10×cube-unmult_binary64 cube-mult_binary64 associate--l-_binary64
mul-1-neg_binary64 *-rgt-identity_binary64
pow-plus_binary64 sqr-neg_binary64
difference-of-sqr--1_binary64 distribute-frac-neg_binary64
cube-neg_binary64 +-rgt-identity_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64
sub0-neg_binary64
*-lft-identity_binary64 distribute-neg-out_binary64
/-rgt-identity_binary64
mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 cancel-sign-sub_binary64
Counts
38 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083651
1167600
2408600
31275600
44040600
55627600

prune14.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh000
Picked011
Done000
Total14418
Error
0.0b
Counts
18 → 4
Compiler

Compiled 210 to 153 computations (27.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 -2 (+.f64 x -1))
0.1b
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))

rewrite155.0ms (5.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
53×add-sqr-sqrt_binary64
51×*-un-lft-identity_binary64
49×times-frac_binary64
29×add-cube-cbrt_binary64
26×add-exp-log_binary64
21×associate-*r*_binary64
18×associate-*l*_binary64
16×add-cbrt-cube_binary64
10×distribute-lft-out_binary64
div-exp_binary64
prod-exp_binary64
difference-of-sqr--1_binary64
unswap-sqr_binary64 associate-/r/_binary64
cbrt-undiv_binary64 associate-/r*_binary64
pow1_binary64 cbrt-unprod_binary64
div-inv_binary64 flip3-+_binary64 flip-+_binary64 associate-/l*_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64
pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 106
Calls

2 calls:

23.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
5.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 1894 to 1590 computations (16.1% saved)

series30.0ms (1.1%)

Error
0.0b
Counts
2 → 13
Calls

2 calls:

13.0ms
(/.f64 -2 (+.f64 x -1))
10.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
Compiler

Compiled 416 to 374 computations (10.1% saved)

simplify118.0ms (4.3%)

Algorithm
egg-herbie
Rules
571×div-sub_binary64
423×times-frac_binary64
389×associate-/l*_binary64
348×associate-*l/_binary64
270×associate-*r/_binary64
256×associate-*l*_binary64
205×associate-/l/_binary64 associate-*r*_binary64
202×associate-/r*_binary64
199×cancel-sign-sub-inv_binary64
145×*-commutative_binary64
120×sub-neg_binary64 distribute-rgt-out_binary64
119×distribute-rgt-in_binary64
99×distribute-lft-in_binary64
93×distribute-neg-in_binary64
91×associate-/r/_binary64
67×unsub-neg_binary64
61×*-lft-identity_binary64
56×distribute-rgt-neg-in_binary64 associate-+r+_binary64
51×distribute-neg-frac_binary64 associate-+l+_binary64
50×remove-double-div_binary64
48×distribute-rgt-out--_binary64
46×distribute-lft-neg-in_binary64
42×cube-prod_binary64 neg-sub0_binary64 sqr-pow_binary64
41×/-rgt-identity_binary64
40×*-rgt-identity_binary64 unswap-sqr_binary64 associate-+r-_binary64
39×log-prod_binary64
38×neg-mul-1_binary64 associate-+l-_binary64
37×log-div_binary64 +-commutative_binary64
36×cube-div_binary64
31×distribute-lft-out--_binary64
30×distribute-frac-neg_binary64
28×distribute-rgt-neg-out_binary64
24×distribute-lft-neg-out_binary64 associate--r+_binary64
17×distribute-rgt1-in_binary64
16×swap-sqr_binary64
15×unpow3_binary64
14×sub0-neg_binary64 +-rgt-identity_binary64
13×exp-prod_binary64
11×cube-mult_binary64 distribute-neg-out_binary64
10×cube-unmult_binary64 sqr-neg_binary64
log-rec_binary64 cube-neg_binary64 distribute-lft-out_binary64
mul-1-neg_binary64 distribute-lft1-in_binary64
pow-sqr_binary64 associate--l+_binary64
pow-plus_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 associate--r-_binary64
unpow1/2_binary64
--rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
remove-double-neg_binary64 associate--l-_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 div0_binary64 *-inverses_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64
Counts
119 → 91
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01782042
14481719
212491713
334121710
443971710
551171710

prune79.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh202
Picked101
Done011
Total90595
Error
0b
Counts
95 → 5
Compiler

Compiled 1073 to 851 computations (20.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 -2 (+.f64 x -1))
0.0b
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))

rewrite188.0ms (6.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
174×times-frac_binary64
161×*-un-lft-identity_binary64
98×add-sqr-sqrt_binary64
79×add-cube-cbrt_binary64
41×distribute-lft-out_binary64
24×associate-/l*_binary64
19×difference-of-sqr--1_binary64
14×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
div-inv_binary64 flip3-+_binary64 flip-+_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
associate-/l/_binary64
Counts
2 → 163
Calls

2 calls:

11.0ms
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
5.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 2574 to 2099 computations (18.5% saved)

series33.0ms (1.2%)

Error
0b
Counts
2 → 13
Calls

2 calls:

13.0ms
(/.f64 -2 (+.f64 x -1))
11.0ms
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
Compiler

Compiled 384 to 342 computations (10.9% saved)

simplify215.0ms (7.8%)

Algorithm
egg-herbie
Rules
691×div-sub_binary64
398×associate-/l/_binary64
397×associate-/r*_binary64
261×times-frac_binary64
256×associate-/l*_binary64
231×distribute-rgt-in_binary64
213×associate-*l*_binary64
195×distribute-lft-in_binary64
165×*-commutative_binary64
151×associate-/r/_binary64
143×associate-*r*_binary64
129×associate-*l/_binary64
105×associate-*r/_binary64
60×neg-mul-1_binary64
58×sub-neg_binary64
43×associate-+l+_binary64
38×cube-prod_binary64
37×associate-+r+_binary64 +-commutative_binary64
32×log-div_binary64
31×distribute-neg-in_binary64
30×associate-+l-_binary64
29×*-rgt-identity_binary64 associate-+r-_binary64
28×cube-div_binary64
27×cancel-sign-sub-inv_binary64
26×log-prod_binary64 neg-sub0_binary64
22×/-rgt-identity_binary64 distribute-lft-neg-in_binary64
21×distribute-rgt-neg-in_binary64
20×associate--r+_binary64
19×distribute-neg-frac_binary64
18×*-lft-identity_binary64
16×unpow3_binary64 unsub-neg_binary64
15×unswap-sqr_binary64
14×cube-mult_binary64
12×sqr-pow_binary64
11×mul-1-neg_binary64 associate--l+_binary64
distribute-rgt-out_binary64 distribute-lft-out_binary64
cube-unmult_binary64 cube-neg_binary64 distribute-rgt-out--_binary64
log-rec_binary64
distribute-lft-neg-out_binary64 associate--l-_binary64
pow-plus_binary64 exp-prod_binary64 difference-of-sqr--1_binary64 distribute-frac-neg_binary64 associate--r-_binary64
sqr-neg_binary64 +-rgt-identity_binary64 difference-of-sqr-1_binary64 swap-sqr_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 *-inverses_binary64 distribute-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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 sub0-neg_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 pow-sqr_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
176 → 121
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02434049
15683784
214283784
337473784
449023784
550003784
649333784

prune74.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh123
Picked011
Done011
Total1215126
Error
0b
Counts
126 → 5
Compiler

Compiled 1231 to 938 computations (23.8% saved)

regimes535.0ms (19.4%)

Accuracy

Total 0.1b remaining (84.2%)

Threshold costs 0.1b (84.2%)

Compiler

Compiled 4942 to 4288 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11413
21513
31313

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample732.0ms (26.5%)

Algorithm
intervals
Results
164.0ms2012×body512valid
132.0ms4511×body128valid
62.0ms1034×body256valid
45.0ms443×body1024valid
Compiler

Compiled 102 to 92 computations (9.8% saved)

Profiling

Loading profile data...