Details

Time bar (total: 2.1s)

analyze27.0ms (1.3%)

Algorithm
search
egg-herbie
Rules
15×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
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 +-commutative_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
0713
11213
21813
32513
43213
54813
67013
77913
89113
99313
108713
117313
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.8%)

Algorithm
intervals
Results
5.0ms73×body512valid
4.0ms145×body128valid
1.0ms31×body256valid
1.0msbody1024valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify12.0ms (0.6%)

Algorithm
egg-herbie
Rules
15×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
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-in_binary64 associate--r-_binary64 +-commutative_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
0713
11213
21813
32513
43213
54813
67013
77913
89113
99313
108713
117313

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
15.7b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
2.4b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite127.0ms (6%)

Algorithm
rewrite-expression-head
Error
14.7b
Rules
55×*-un-lft-identity_binary64
46×add-sqr-sqrt_binary64
45×times-frac_binary64
22×add-cube-cbrt_binary64
13×cancel-sign-sub-inv_binary64
10×distribute-lft-out--_binary64
difference-of-squares_binary64
distribute-lft-out_binary64
add-exp-log_binary64 div-inv_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
pow1_binary64 associate-/l*_binary64
div-exp_binary64 associate-/r/_binary64
diff-log_binary64 frac-sub_binary64 flip3--_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 flip3-+_binary64 flip-+_binary64
Counts
2 → 81
Calls

2 calls:

24.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1217 to 980 computations (19.5% saved)

series39.0ms (1.9%)

Error
0.2b
Counts
2 → 24
Calls

2 calls:

13.0ms
(/.f64 1 (+.f64 x 1))
12.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 483 to 403 computations (16.6% saved)

simplify142.0ms (6.7%)

Algorithm
egg-herbie
Rules
390×distribute-rgt-in_binary64
309×distribute-lft-in_binary64
261×exp-prod_binary64
217×sub-neg_binary64
171×distribute-rgt-out_binary64
170×times-frac_binary64
164×associate-/l*_binary64
145×associate-*r*_binary64
144×associate-*l*_binary64
133×distribute-rgt-out--_binary64
121×associate-*l/_binary64
107×associate-*r/_binary64
102×distribute-rgt-neg-in_binary64
96×div-sub_binary64
91×associate-/r*_binary64
84×distribute-neg-frac_binary64 distribute-lft-neg-in_binary64
79×+-commutative_binary64
78×*-commutative_binary64
77×distribute-lft-neg-out_binary64
75×unswap-sqr_binary64
71×unsub-neg_binary64
70×swap-sqr_binary64
67×difference-of-squares_binary64 distribute-rgt-neg-out_binary64
59×associate-+l+_binary64
56×cancel-sign-sub-inv_binary64
53×distribute-lft-out_binary64
52×neg-sub0_binary64
51×associate-+l-_binary64
50×associate-/l/_binary64
49×associate-+r+_binary64
48×exp-sum_binary64
47×neg-mul-1_binary64 sqr-pow_binary64
43×associate--l+_binary64
41×exp-diff_binary64
38×distribute-frac-neg_binary64 associate-+r-_binary64
37×unpow3_binary64
33×distribute-lft-out--_binary64
31×associate-/r/_binary64
30×cube-prod_binary64 *-rgt-identity_binary64
29×associate--r+_binary64
28×distribute-neg-in_binary64
25×sub0-neg_binary64
22×cube-div_binary64
21×exp-neg_binary64 +-rgt-identity_binary64
20×cube-unmult_binary64 cube-mult_binary64 distribute-rgt1-in_binary64
19×*-lft-identity_binary64
17×pow-plus_binary64
14×/-rgt-identity_binary64
13×mul0-rgt_binary64 mul0-lft_binary64
11×distribute-lft1-in_binary64
div0_binary64
log-div_binary64 log-prod_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 mul-1-neg_binary64 +-inverses_binary64 pow-sqr_binary64
log-rec_binary64 rem-3cbrt-lft_binary64 +-lft-identity_binary64 difference-of-sqr-1_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 --rgt-identity_binary64 count-2_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 rec-exp_binary64 prod-exp_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 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 distribute-neg-out_binary64 associate--r-_binary64
Counts
105 → 78
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01441568
13461530
28491506
323591503
447081503
549891503
649291503

prune42.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New75378
Fresh000
Picked101
Done000
Total76379
Error
0.2b
Counts
79 → 3
Compiler

Compiled 627 to 476 computations (24.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.2b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite55.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×*-un-lft-identity_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
distribute-rgt1-in_binary64 distribute-rgt-out_binary64 associate-/r*_binary64
add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
pow1_binary64 flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 50
Calls

2 calls:

5.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
3.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 714 to 306 computations (57.1% saved)

series30.0ms (1.4%)

Error
0.2b
Counts
2 → 18
Calls

2 calls:

12.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
9.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 282 to 243 computations (13.8% saved)

simplify83.0ms (3.9%)

Algorithm
egg-herbie
Rules
535×times-frac_binary64
425×associate-/r*_binary64
384×div-sub_binary64
329×associate-/l/_binary64
234×associate-/l*_binary64
207×distribute-rgt-out_binary64
200×distribute-rgt-in_binary64
160×distribute-lft-in_binary64
129×cancel-sign-sub-inv_binary64
126×sub-neg_binary64
114×unswap-sqr_binary64 associate-*l*_binary64
101×associate-/r/_binary64
100×distribute-lft-out_binary64
98×associate-*r*_binary64
53×*-commutative_binary64
52×distribute-rgt-neg-in_binary64
49×exp-prod_binary64
47×cube-prod_binary64
45×log-div_binary64 distribute-lft-neg-in_binary64
42×cube-div_binary64
41×log-prod_binary64 distribute-neg-frac_binary64
38×+-commutative_binary64
35×distribute-rgt-out--_binary64
34×sqr-pow_binary64
30×distribute-frac-neg_binary64
29×associate-+l-_binary64 associate-+l+_binary64
28×neg-sub0_binary64
27×distribute-lft-neg-out_binary64
26×difference-of-squares_binary64
24×associate-*r/_binary64
23×unsub-neg_binary64 associate-*l/_binary64
22×neg-mul-1_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
20×distribute-rgt-neg-out_binary64
18×associate--l+_binary64 associate-+r+_binary64
17×exp-sum_binary64 sub0-neg_binary64
16×distribute-lft-out--_binary64
15×unpow3_binary64 pow-plus_binary64 +-rgt-identity_binary64 associate--r+_binary64
13×cube-unmult_binary64
12×distribute-neg-in_binary64 distribute-lft1-in_binary64
cube-mult_binary64 *-rgt-identity_binary64 swap-sqr_binary64
pow-sqr_binary64
sqr-neg_binary64
exp-diff_binary64 mul-1-neg_binary64 *-lft-identity_binary64
log-pow_binary64 /-rgt-identity_binary64
cube-neg_binary64
log-rec_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 prod-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 div0_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_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 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 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 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 associate--r-_binary64 associate--l-_binary64
Counts
68 → 38
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041031
1214968
2513966
31382966
44263966
55158966

prune28.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New34438
Fresh202
Picked101
Done000
Total37441
Error
0.0b
Counts
41 → 4
Compiler

Compiled 363 to 237 computations (34.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite102.0ms (4.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
43×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
40×times-frac_binary64
26×add-exp-log_binary64 add-cube-cbrt_binary64
18×associate-*r*_binary64
16×add-cbrt-cube_binary64
13×associate-*l*_binary64
div-exp_binary64
prod-exp_binary64
distribute-lft-out_binary64
unswap-sqr_binary64
cbrt-undiv_binary64
pow1_binary64 cbrt-unprod_binary64 associate-/r/_binary64 associate-/r*_binary64
div-inv_binary64 associate-/l*_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 flip3-+_binary64 flip-+_binary64
pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 94
Calls

2 calls:

13.0ms
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
5.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 1475 to 1184 computations (19.7% saved)

series39.0ms (1.8%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

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

Compiled 488 to 407 computations (16.6% saved)

simplify119.0ms (5.6%)

Algorithm
egg-herbie
Rules
613×times-frac_binary64
497×div-sub_binary64
368×associate-/l*_binary64
305×distribute-rgt-in_binary64
287×associate-*l/_binary64
237×associate-/r*_binary64
222×cancel-sign-sub-inv_binary64
215×associate-*r/_binary64
197×sub-neg_binary64
188×associate-/l/_binary64 associate-*l*_binary64
168×associate-*r*_binary64
109×*-commutative_binary64
89×distribute-rgt-out_binary64
87×distribute-frac-neg_binary64
75×distribute-rgt-neg-out_binary64
74×log-prod_binary64
73×distribute-neg-frac_binary64
71×cube-prod_binary64
63×log-div_binary64
62×distribute-lft-neg-out_binary64 associate-/r/_binary64
59×unswap-sqr_binary64
58×cube-div_binary64 +-commutative_binary64
57×associate-+r+_binary64
55×associate-+l-_binary64
52×*-lft-identity_binary64
51×distribute-rgt-neg-in_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64
48×exp-prod_binary64 distribute-lft-neg-in_binary64
47×distribute-neg-in_binary64
45×/-rgt-identity_binary64
44×sqr-pow_binary64
42×remove-double-div_binary64
40×neg-sub0_binary64
37×distribute-lft-out_binary64 associate--r+_binary64
36×associate--l+_binary64
35×*-rgt-identity_binary64
28×unsub-neg_binary64
27×neg-mul-1_binary64
24×mul-1-neg_binary64
23×+-rgt-identity_binary64
20×swap-sqr_binary64
19×distribute-lft-in_binary64
18×unpow3_binary64 sub0-neg_binary64
15×distribute-rgt1-in_binary64
14×log-rec_binary64 difference-of-squares_binary64
12×cube-unmult_binary64 cube-mult_binary64 distribute-lft-out--_binary64
10×sqr-neg_binary64 distribute-lft1-in_binary64
cube-neg_binary64
pow-plus_binary64 exp-neg_binary64 exp-sum_binary64 pow-sqr_binary64
exp-diff_binary64 rem-sqrt-square_binary64 div0_binary64 associate--r-_binary64
unpow1/2_binary64 difference-of-sqr-1_binary64
log-pow_binary64 --rgt-identity_binary64 +-lft-identity_binary64
remove-double-neg_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 difference-of-sqr--1_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 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 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 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 associate--l-_binary64
Counts
118 → 89
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601841
13951650
210811645
331781638
447161638
555091638

prune53.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh123
Picked101
Done000
Total89493
Error
0.0b
Counts
93 → 4
Compiler

Compiled 865 to 646 computations (25.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite76.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
97×times-frac_binary64
78×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
14×distribute-lft-out_binary64
13×associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
associate-/r*_binary64
div-exp_binary64 cbrt-undiv_binary64
associate-/r/_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 86
Calls

1 calls:

8.0ms
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 1282 to 957 computations (25.4% saved)

series19.0ms (0.9%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

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

Compiled 220 to 189 computations (14.1% saved)

simplify123.0ms (5.8%)

Algorithm
egg-herbie
Rules
513×div-sub_binary64
397×distribute-rgt-in_binary64
336×distribute-lft-in_binary64
322×associate-/r*_binary64
318×associate-/l/_binary64
290×times-frac_binary64
216×associate-/l*_binary64
151×distribute-frac-neg_binary64
150×sub-neg_binary64
126×cancel-sign-sub-inv_binary64
123×associate-*l*_binary64
109×associate-/r/_binary64
100×distribute-rgt-neg-out_binary64
92×*-commutative_binary64
85×associate-*l/_binary64
82×associate-*r*_binary64
80×distribute-neg-frac_binary64
75×log-div_binary64
69×cube-div_binary64
68×log-prod_binary64
67×distribute-rgt-out_binary64
64×cube-prod_binary64
63×distribute-lft-neg-out_binary64 associate-*r/_binary64
46×neg-sub0_binary64
43×unswap-sqr_binary64
42×distribute-rgt-neg-in_binary64
40×neg-mul-1_binary64 *-rgt-identity_binary64
37×unsub-neg_binary64
32×/-rgt-identity_binary64 +-commutative_binary64
30×distribute-lft-neg-in_binary64
25×associate-+l-_binary64 associate-+l+_binary64
24×exp-prod_binary64 sqr-pow_binary64 associate--l+_binary64
20×div0_binary64
19×unpow3_binary64 *-lft-identity_binary64 associate-+r+_binary64
18×associate-+r-_binary64
17×swap-sqr_binary64
16×exp-sum_binary64 distribute-rgt-out--_binary64 associate--r+_binary64
14×distribute-lft-out_binary64 associate--r-_binary64
13×log-rec_binary64 cube-mult_binary64 distribute-neg-in_binary64
12×--rgt-identity_binary64
11×cube-unmult_binary64 sub0-neg_binary64
10×distribute-rgt1-in_binary64
mul-1-neg_binary64 difference-of-squares_binary64 distribute-lft1-in_binary64
+-rgt-identity_binary64
cube-neg_binary64
pow-plus_binary64 exp-diff_binary64 sqr-neg_binary64 remove-double-div_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
log-pow_binary64 remove-double-neg_binary64
difference-of-sqr-1_binary64 associate--l-_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64 difference-of-sqr--1_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 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 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 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 count-2_binary64
Counts
98 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01762076
13972011
28932007
325212002
444662002
549622002

prune28.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh213
Picked011
Done000
Total57461
Error
0.0b
Counts
61 → 4
Compiler

Compiled 454 to 328 computations (27.8% saved)

regimes287.0ms (13.5%)

Accuracy

Total 0.1b remaining (81.9%)

Threshold costs 0.1b (81.9%)

Compiler

Compiled 3386 to 2726 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
2910

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample645.0ms (30.4%)

Algorithm
intervals
Results
150.0ms2026×body512valid
125.0ms4577×body128valid
47.0ms985×body256valid
41.0ms412×body1024valid
0.0msbody128invalid
Compiler

Compiled 58 to 54 computations (6.9% saved)

Profiling

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