Details

Time bar (total: 2.7s)

analyze31.0ms (1.2%)

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 (0.8%)

Algorithm
intervals
Results
6.0ms71×body512valid
4.0ms145×body128valid
2.0ms33×body256valid
1.0msbody1024valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify13.0ms (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
15.2b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
2.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite231.0ms (8.7%)

Algorithm
rewrite-expression-head
Error
14.2b
Rules
118×*-un-lft-identity_binary64
95×add-sqr-sqrt_binary64
90×times-frac_binary64
43×add-cube-cbrt_binary64
30×distribute-lft-out--_binary64
27×cancel-sign-sub-inv_binary64
23×difference-of-squares_binary64
11×add-exp-log_binary64 associate-/r*_binary64
10×distribute-lft-out_binary64
associate-/r/_binary64
add-cbrt-cube_binary64 difference-of-sqr-1_binary64 div-inv_binary64
associate-/l*_binary64
add-log-exp_binary64 pow1_binary64
flip--_binary64 div-exp_binary64
flip3--_binary64
flip-+_binary64 inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64
diff-log_binary64 frac-sub_binary64 sub-neg_binary64 flip3-+_binary64
Counts
3 → 151
Calls

3 calls:

37.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
5.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 2349 to 1966 computations (16.3% saved)

series66.0ms (2.5%)

Error
0.2b
Counts
3 → 35
Calls

3 calls:

21.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
12.0ms
(/.f64 1 (-.f64 x 1))
12.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 914 to 788 computations (13.8% saved)

simplify129.0ms (4.9%)

Algorithm
egg-herbie
Rules
325×div-sub_binary64
261×associate-*l*_binary64
251×associate-*r*_binary64
232×associate-*l/_binary64
227×associate-/l*_binary64
203×distribute-rgt-in_binary64
198×times-frac_binary64
180×associate-*r/_binary64
172×associate-/r*_binary64
146×distribute-lft-in_binary64
131×associate-+l+_binary64
124×associate-+r+_binary64
106×sub-neg_binary64
92×cancel-sign-sub-inv_binary64
87×associate--r+_binary64
78×distribute-neg-in_binary64
77×neg-sub0_binary64 distribute-rgt-neg-in_binary64
73×distribute-neg-frac_binary64
71×neg-mul-1_binary64
69×associate-/l/_binary64 +-commutative_binary64
68×associate-+l-_binary64
67×associate-/r/_binary64
65×associate-+r-_binary64
63×exp-prod_binary64 *-commutative_binary64
53×distribute-lft-neg-in_binary64
43×associate--l+_binary64
41×unsub-neg_binary64
40×distribute-lft-neg-out_binary64
36×distribute-rgt-out_binary64
32×distribute-rgt-neg-out_binary64
30×cube-prod_binary64
27×cube-div_binary64
25×*-rgt-identity_binary64 distribute-lft-out_binary64
22×log-prod_binary64
21×sqr-pow_binary64
20×log-div_binary64
16×distribute-frac-neg_binary64
14×exp-sum_binary64 unswap-sqr_binary64
13×cube-unmult_binary64 *-lft-identity_binary64 distribute-rgt-out--_binary64
12×swap-sqr_binary64
11×distribute-rgt1-in_binary64
10×associate--l-_binary64
unpow3_binary64
/-rgt-identity_binary64
pow-plus_binary64 exp-diff_binary64
+-rgt-identity_binary64
distribute-neg-out_binary64
log-rec_binary64 cube-mult_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
div0_binary64 distribute-lft1-in_binary64
rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 mul-1-neg_binary64 +-lft-identity_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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 cancel-sign-sub_binary64
Counts
186 → 158
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002992
15202917
214472785
343122785
449302785

prune64.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1553158
Fresh000
Picked101
Done000
Total1563159
Error
0.1b
Counts
159 → 3
Compiler

Compiled 1347 to 1067 computations (20.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
1.9b
(+.f64 x (-.f64 -2 x))

rewrite78.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
44×*-un-lft-identity_binary64
20×times-frac_binary64
14×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
12×distribute-lft-out_binary64
add-log-exp_binary64
distribute-lft-out--_binary64 difference-of-sqr--1_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-+r+_binary64 associate-/r*_binary64
flip3-+_binary64 flip-+_binary64 cancel-sign-sub-inv_binary64
sum-log_binary64 pow1_binary64 associate-+r-_binary64 associate-/l/_binary64 associate-/r/_binary64
diff-log_binary64 sub-neg_binary64 +-commutative_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64
Counts
2 → 65
Calls

2 calls:

12.0ms
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
6.0ms
(+.f64 x (-.f64 -2 x))
Compiler

Compiled 1087 to 671 computations (38.3% saved)

series29.0ms (1.1%)

Error
0.1b
Counts
2 → 14
Calls

2 calls:

16.0ms
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
4.0ms
(+.f64 x (-.f64 -2 x))
Compiler

Compiled 341 to 307 computations (10% saved)

simplify78.0ms (2.9%)

Algorithm
egg-herbie
Rules
498×cancel-sign-sub-inv_binary64
384×distribute-rgt-in_binary64
344×distribute-lft-in_binary64
304×div-sub_binary64
247×associate-*l*_binary64
226×unswap-sqr_binary64
206×associate-/r*_binary64
197×associate-*r*_binary64
190×sub-neg_binary64
175×unsub-neg_binary64
154×*-commutative_binary64
104×associate-+l+_binary64
101×times-frac_binary64 associate-/l*_binary64
87×associate-+r+_binary64
82×associate-/l/_binary64
79×associate-*l/_binary64
78×neg-sub0_binary64
65×neg-mul-1_binary64
64×associate-*r/_binary64
58×+-commutative_binary64
55×associate--r+_binary64
52×distribute-neg-in_binary64
34×sqr-pow_binary64 distribute-rgt-out_binary64
33×distribute-lft-out_binary64
31×associate-+l-_binary64
28×distribute-rgt-neg-in_binary64 associate-+r-_binary64
27×distribute-lft-neg-in_binary64 associate-/r/_binary64
25×distribute-neg-frac_binary64
23×cube-prod_binary64
22×swap-sqr_binary64
20×associate--l+_binary64
18×mul-1-neg_binary64 sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64
17×*-rgt-identity_binary64
14×log-prod_binary64 exp-prod_binary64
13×exp-sum_binary64 mul0-rgt_binary64 div0_binary64
12×mul0-lft_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
pow-plus_binary64 exp-diff_binary64 /-rgt-identity_binary64
cube-unmult_binary64 difference-of-sqr--1_binary64
log-div_binary64 unpow3_binary64 cube-div_binary64 *-lft-identity_binary64 distribute-rgt-out--_binary64 associate--l-_binary64
cube-mult_binary64 difference-of-sqr-1_binary64
distribute-lft-out--_binary64
div-exp_binary64 remove-double-neg_binary64 associate--r-_binary64
prod-exp_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
--rgt-identity_binary64 +-inverses_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 distribute-neg-out_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 rec-exp_binary64 exp-neg_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 +-lft-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
79 → 69
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231588
12961490
29281103
334561103
449011103

prune50.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh202
Picked101
Done000
Total69372
Error
0.0b
Counts
72 → 3
Compiler

Compiled 787 to 523 computations (33.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite186.0ms (7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
234×times-frac_binary64
207×*-un-lft-identity_binary64
170×add-sqr-sqrt_binary64
94×add-cube-cbrt_binary64
38×difference-of-squares_binary64
28×distribute-lft-out_binary64
21×associate-/l*_binary64
20×associate-/r/_binary64
19×difference-of-sqr-1_binary64 distribute-lft-out--_binary64
11×associate-/r*_binary64
10×div-inv_binary64
add-exp-log_binary64 add-cbrt-cube_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 flip3--_binary64 flip--_binary64
Counts
2 → 201
Calls

2 calls:

15.0ms
(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
5.0ms
(/.f64 -2 (+.f64 x 1))
Compiler

Compiled 3018 to 2434 computations (19.4% saved)

series48.0ms (1.8%)

Error
0.0b
Counts
2 → 23
Calls

2 calls:

19.0ms
(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
14.0ms
(/.f64 -2 (+.f64 x 1))
Compiler

Compiled 638 to 562 computations (11.9% saved)

simplify283.0ms (10.7%)

Algorithm
egg-herbie
Rules
478×associate-/r*_binary64
422×associate-/l/_binary64
301×div-sub_binary64
293×associate-*l*_binary64
292×times-frac_binary64
279×associate-/l*_binary64
259×distribute-rgt-in_binary64
230×distribute-lft-in_binary64
200×associate-/r/_binary64
163×sub-neg_binary64
147×associate-*l/_binary64
117×associate-*r/_binary64
110×unswap-sqr_binary64
97×neg-sub0_binary64
91×cancel-sign-sub-inv_binary64
87×neg-mul-1_binary64
70×*-commutative_binary64
68×unsub-neg_binary64
62×*-rgt-identity_binary64
49×distribute-rgt-neg-in_binary64
46×/-rgt-identity_binary64
43×distribute-neg-frac_binary64 distribute-lft-neg-in_binary64
41×+-commutative_binary64
40×distribute-neg-in_binary64
39×*-lft-identity_binary64
32×cube-prod_binary64
31×cube-div_binary64 distribute-lft-out_binary64
30×log-div_binary64 distribute-rgt-out_binary64
26×sqr-pow_binary64 associate-*r*_binary64
24×distribute-rgt-out--_binary64
21×log-prod_binary64 associate--r+_binary64
20×unpow3_binary64
16×cube-mult_binary64
12×distribute-lft-out--_binary64 associate-+l+_binary64
11×associate-+r+_binary64
10×pow-plus_binary64 cube-unmult_binary64 mul-1-neg_binary64 swap-sqr_binary64 associate--l+_binary64
distribute-rgt1-in_binary64
log-rec_binary64
exp-prod_binary64
difference-of-squares_binary64
difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
*-inverses_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 associate-+l-_binary64 associate-+r-_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 div0_binary64 remove-double-div_binary64 pow-sqr_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64 count-2_binary64 associate--r-_binary64
Counts
224 → 169
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02615511
16555369
217335369
342655363
447235363
549915363
649335363

prune75.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh112
Picked011
Done000
Total1693172
Error
0b
Counts
172 → 3
Compiler

Compiled 1386 to 1045 computations (24.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite45.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
11×add-cube-cbrt_binary64
difference-of-squares_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 → 37
Calls

1 calls:

8.0ms
(/.f64 2 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 566 to 395 computations (30.2% saved)

series24.0ms (0.9%)

Error
0b
Counts
1 → 11
Calls

1 calls:

19.0ms
(/.f64 2 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 292 to 266 computations (8.9% saved)

simplify104.0ms (3.9%)

Algorithm
egg-herbie
Rules
905×div-sub_binary64
683×times-frac_binary64
479×distribute-neg-frac_binary64
277×unsub-neg_binary64
271×cancel-sign-sub-inv_binary64
230×associate-/l*_binary64
228×associate-/l/_binary64
179×sub-neg_binary64
178×neg-mul-1_binary64
174×neg-sub0_binary64
149×associate-*l/_binary64
142×unswap-sqr_binary64
128×distribute-rgt-in_binary64
127×distribute-lft-out_binary64
115×associate-*r/_binary64
107×associate-/r*_binary64
96×distribute-rgt-neg-in_binary64
90×distribute-lft-neg-in_binary64
86×associate-*l*_binary64
74×cube-prod_binary64
69×distribute-lft-in_binary64 associate-/r/_binary64 associate-*r*_binary64
66×distribute-rgt-out_binary64
64×distribute-neg-in_binary64
60×distribute-lft-out--_binary64
53×*-commutative_binary64
48×cancel-sign-sub_binary64
42×distribute-rgt-neg-out_binary64
41×distribute-lft-neg-out_binary64
38×+-commutative_binary64
37×associate-+l+_binary64
35×remove-double-neg_binary64
34×sqr-pow_binary64
33×distribute-rgt-out--_binary64
28×associate-+r+_binary64
27×associate--r+_binary64
25×/-rgt-identity_binary64
24×*-lft-identity_binary64
20×*-rgt-identity_binary64
19×associate-+l-_binary64
17×unpow3_binary64 pow-plus_binary64
16×sub0-neg_binary64 swap-sqr_binary64 associate--r-_binary64
14×mul0-rgt_binary64 mul0-lft_binary64
13×sqr-neg_binary64 difference-of-sqr--1_binary64
12×div0_binary64
10×cube-unmult_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64
cube-mult_binary64 associate-+r-_binary64
distribute-rgt1-in_binary64
+-rgt-identity_binary64
distribute-frac-neg_binary64
--rgt-identity_binary64 associate--l+_binary64
log-prod_binary64 cube-neg_binary64 pow-sqr_binary64 difference-of-squares_binary64 distribute-lft1-in_binary64
cube-div_binary64
log-div_binary64 unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 remove-double-div_binary64 associate--l-_binary64
unpow1/2_binary64 1-exp_binary64 +-lft-identity_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 count-2_binary64
Counts
48 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100865
1214806
2530806
31357806
43870806
54748806
65694806

prune20.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh011
Picked011
Done011
Total28331
Error
0b
Counts
31 → 3
Compiler

Compiled 238 to 170 computations (28.6% saved)

regimes355.0ms (13.4%)

Accuracy

Total 0.1b remaining (82.5%)

Threshold costs 0.1b (82.5%)

Compiler

Compiled 5046 to 4284 computations (15.1% 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)

sample699.0ms (26.3%)

Algorithm
intervals
Results
171.0ms1983×body512valid
136.0ms4591×body128valid
59.0ms1003×body256valid
45.0ms423×body1024valid
Compiler

Compiled 61 to 57 computations (6.6% saved)

Profiling

Loading profile data...