Details

Time bar (total: 3.7s)

analyze420.0ms (11.3%)

Algorithm
search
egg-herbie
Rules
576×unsub-neg_binary64
421×distribute-rgt-in_binary64
416×div-sub_binary64
359×sub-neg_binary64
342×times-frac_binary64
307×distribute-lft-in_binary64
276×associate-/l*_binary64
232×distribute-neg-frac_binary64
211×associate-*l/_binary64
192×distribute-rgt-out_binary64
187×neg-sub0_binary64
179×neg-mul-1_binary64
152×distribute-rgt-neg-in_binary64
149×distribute-rgt-out--_binary64
141×associate-/l/_binary64
134×distribute-lft-neg-in_binary64
128×distribute-rgt-neg-out_binary64
125×distribute-lft-neg-out_binary64
120×associate-+l+_binary64
108×associate-/r*_binary64 associate-+l-_binary64
107×associate-+r+_binary64
102×associate-*l*_binary64
101×associate-*r/_binary64
87×associate-*r*_binary64
74×distribute-neg-out_binary64
64×associate-/r/_binary64
60×distribute-lft-out_binary64
50×distribute-lft-out--_binary64
47×distribute-frac-neg_binary64
38×distribute-neg-in_binary64
37×associate--r+_binary64
35×sub0-neg_binary64
34×swap-sqr_binary64
32×*-lft-identity_binary64
31×+-commutative_binary64
27×associate--l+_binary64
26×associate-+r-_binary64
25×*-commutative_binary64
22×cancel-sign-sub-inv_binary64
21×*-rgt-identity_binary64
16×remove-double-neg_binary64 distribute-rgt1-in_binary64
15×/-rgt-identity_binary64
12×mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64
10×remove-double-div_binary64
sqr-neg_binary64 +-rgt-identity_binary64
associate--l-_binary64
distribute-lft1-in_binary64
--rgt-identity_binary64 associate--r-_binary64
1-exp_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
12343
24643
310931
427431
583228
6228125
7447825
8489225
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 30 to 27 computations (10% saved)

sample24.0ms (0.7%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify70.0ms (1.9%)

Algorithm
egg-herbie
Rules
576×unsub-neg_binary64
421×distribute-rgt-in_binary64
416×div-sub_binary64
359×sub-neg_binary64
342×times-frac_binary64
307×distribute-lft-in_binary64
276×associate-/l*_binary64
232×distribute-neg-frac_binary64
211×associate-*l/_binary64
192×distribute-rgt-out_binary64
187×neg-sub0_binary64
179×neg-mul-1_binary64
152×distribute-rgt-neg-in_binary64
149×distribute-rgt-out--_binary64
141×associate-/l/_binary64
134×distribute-lft-neg-in_binary64
128×distribute-rgt-neg-out_binary64
125×distribute-lft-neg-out_binary64
120×associate-+l+_binary64
108×associate-/r*_binary64 associate-+l-_binary64
107×associate-+r+_binary64
102×associate-*l*_binary64
101×associate-*r/_binary64
87×associate-*r*_binary64
74×distribute-neg-out_binary64
64×associate-/r/_binary64
60×distribute-lft-out_binary64
50×distribute-lft-out--_binary64
47×distribute-frac-neg_binary64
38×distribute-neg-in_binary64
37×associate--r+_binary64
35×sub0-neg_binary64
34×swap-sqr_binary64
32×*-lft-identity_binary64
31×+-commutative_binary64
27×associate--l+_binary64
26×associate-+r-_binary64
25×*-commutative_binary64
22×cancel-sign-sub-inv_binary64
21×*-rgt-identity_binary64
16×remove-double-neg_binary64 distribute-rgt1-in_binary64
15×/-rgt-identity_binary64
12×mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64
10×remove-double-div_binary64
sqr-neg_binary64 +-rgt-identity_binary64
associate--l-_binary64
distribute-lft1-in_binary64
--rgt-identity_binary64 associate--r-_binary64
1-exp_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64
Counts
1 → 1
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01343
12343
24643
310931
427431
583228
6228125
7447825
8489225

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 46 to 42 computations (8.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite859.0ms (23.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
577×times-frac_binary64
476×*-un-lft-identity_binary64
316×add-sqr-sqrt_binary64
284×cancel-sign-sub-inv_binary64
260×add-cube-cbrt_binary64
132×distribute-lft-out_binary64
97×div-inv_binary64
72×distribute-rgt-in_binary64 distribute-lft-in_binary64
18×difference-of-squares_binary64
13×associate-/l*_binary64
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-/r/_binary64
swap-sqr_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 associate-*r*_binary64
flip3-+_binary64 flip-+_binary64 associate-/r*_binary64
sub-neg_binary64 frac-times_binary64
div-exp_binary64 cbrt-undiv_binary64
diff-log_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64
Counts
4 → 463
Calls

4 calls:

71.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
35.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
12.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 15536 to 13141 computations (15.4% saved)

series109.0ms (2.9%)

Error
0b
Counts
4 → 45
Calls

4 calls:

19.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
18.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
16.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
14.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
Compiler

Compiled 2117 to 1906 computations (10% saved)

simplify382.0ms (10.3%)

Algorithm
egg-herbie
Rules
507×associate-*l*_binary64
407×associate-*l/_binary64
400×associate-*r/_binary64
197×distribute-rgt-in_binary64
191×distribute-lft-in_binary64
155×distribute-lft-neg-out_binary64
145×associate-/l/_binary64
124×associate-/l*_binary64
117×distribute-rgt-neg-out_binary64 *-commutative_binary64
105×associate-/r*_binary64
97×neg-mul-1_binary64
96×neg-sub0_binary64
89×distribute-neg-frac_binary64
86×sub-neg_binary64
64×distribute-rgt-neg-in_binary64
62×cancel-sign-sub-inv_binary64
46×associate-*r*_binary64
35×times-frac_binary64
25×distribute-lft-neg-in_binary64
24×associate-/r/_binary64
23×div-sub_binary64
17×+-commutative_binary64
14×/-rgt-identity_binary64
12×sqr-pow_binary64
10×distribute-neg-in_binary64 associate--l+_binary64
cube-div_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 distribute-lft-out--_binary64
log-prod_binary64 unswap-sqr_binary64 swap-sqr_binary64
log-div_binary64 unpow3_binary64 distribute-rgt-out_binary64
exp-prod_binary64 cube-unmult_binary64 cube-prod_binary64 distribute-rgt1-in_binary64 associate--r+_binary64
cube-mult_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 exp-sum_binary64 1-exp_binary64 rem-3cbrt-rft_binary64 unsub-neg_binary64 count-2_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 pow-base-0_binary64 unpow1/3_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_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 sqr-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
508 → 398
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044320740
1134420220
2538220220

prune243.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3971398
Fresh000
Picked011
Done000
Total3972399
Error
0b
Counts
399 → 2
Compiler

Compiled 6713 to 5604 computations (16.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 2 (-.f64 4 (/.f64 8 t)))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t)))))
0.1b
(/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t))))

rewrite130.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
77×*-un-lft-identity_binary64
43×times-frac_binary64
40×add-sqr-sqrt_binary64
34×cancel-sign-sub-inv_binary64
29×add-cube-cbrt_binary64
16×distribute-lft-out_binary64
14×associate-+r+_binary64
10×add-log-exp_binary64 distribute-lft-out--_binary64
add-exp-log_binary64
difference-of-squares_binary64
add-cbrt-cube_binary64 associate-/r*_binary64
pow1_binary64 div-inv_binary64 associate-/r/_binary64
flip3-+_binary64 flip-+_binary64 associate-/l*_binary64
div-exp_binary64 diff-log_binary64 sub-neg_binary64 sum-log_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 associate-+r-_binary64 +-commutative_binary64
Counts
3 → 110
Calls

3 calls:

17.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t)))))
11.0ms
(+.f64 2 (-.f64 4 (/.f64 8 t)))
10.0ms
(/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t))))
Compiler

Compiled 1974 to 1792 computations (9.2% saved)

series32.0ms (0.9%)

Error
0b
Counts
3 → 17
Calls

3 calls:

8.0ms
(+.f64 2 (-.f64 4 (/.f64 8 t)))
8.0ms
(/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t))))
8.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (-.f64 4 (/.f64 8 t)))))
Compiler

Compiled 289 to 283 computations (2.1% saved)

simplify114.0ms (3.1%)

Algorithm
egg-herbie
Rules
823×div-sub_binary64
248×distribute-rgt-in_binary64
226×distribute-lft-in_binary64
213×associate-*l*_binary64
200×associate-*r*_binary64
193×distribute-lft-neg-out_binary64
192×exp-prod_binary64
191×distribute-rgt-neg-out_binary64
189×cancel-sign-sub-inv_binary64
171×unsub-neg_binary64
149×associate-*l/_binary64
130×associate-/l*_binary64
129×sub-neg_binary64 associate-*r/_binary64
123×distribute-rgt-neg-in_binary64
115×*-commutative_binary64
101×neg-sub0_binary64
99×distribute-lft-neg-in_binary64
80×distribute-neg-frac_binary64
78×exp-sum_binary64 distribute-neg-in_binary64
76×neg-mul-1_binary64
67×exp-diff_binary64
58×distribute-rgt-out_binary64
47×log-prod_binary64 sqr-pow_binary64
46×+-commutative_binary64
43×swap-sqr_binary64 associate-+l+_binary64
42×cube-prod_binary64 associate-+r+_binary64
40×associate-/l/_binary64
34×times-frac_binary64 associate-/r*_binary64
33×*-rgt-identity_binary64 distribute-frac-neg_binary64
31×cube-div_binary64 *-lft-identity_binary64
28×distribute-neg-out_binary64 associate-/r/_binary64
26×sqr-neg_binary64
25×log-div_binary64
22×associate-+l-_binary64
21×associate--r+_binary64
20×unpow3_binary64 mul0-rgt_binary64 mul0-lft_binary64
17×unswap-sqr_binary64
14×cube-unmult_binary64 distribute-rgt1-in_binary64 associate-+r-_binary64
12×exp-neg_binary64 sub0-neg_binary64
11×cube-mult_binary64
rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64
/-rgt-identity_binary64 associate--l+_binary64
log-rec_binary64 div0_binary64
pow-plus_binary64 div-exp_binary64 +-rgt-identity_binary64
difference-of-sqr-1_binary64
prod-exp_binary64 pow-sqr_binary64
unpow1/2_binary64 cube-neg_binary64 mul-1-neg_binary64 associate--r-_binary64 associate--l-_binary64
log-pow_binary64 unpow2_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 remove-double-div_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 --rgt-identity_binary64 distribute-lft-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 rec-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 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64
Counts
127 → 110
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331593
13291547
28831529
327721525
441851525
553611525

prune56.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112
Error
0b
Counts
112 → 2
Compiler

Compiled 1031 to 908 computations (11.9% saved)

regimes412.0ms (11.1%)

Accuracy

Total 0.0b remaining (19.8%)

Threshold costs 0.0b (19.8%)

Compiler

Compiled 5802 to 5444 computations (6.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-frac_binary64 *-commutative_binary64
1-exp_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 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-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
12228
23328
34228
44628
54728
64328

end1.0ms (0%)

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample830.0ms (22.4%)

Algorithm
intervals
Results
541.0ms8000×body128valid
Compiler

Compiled 92 to 89 computations (3.3% saved)

Profiling

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