Details

Time bar (total: 4.1s)

analyze286.0ms (6.9%)

Algorithm
search
egg-herbie
Rules
+-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 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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
21114
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
62.5%37.5%0%4
68.7%31.2%0%5
71.8%28.1%0%6
73.4%26.5%0%7
74.2%25.8%0%8
74.6%25.4%0%9
74.8%25.2%0%10
74.9%25.1%0%11
74.9%25%0%12
74.9%25%0%13
75%25%0%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample71.0ms (1.7%)

Algorithm
intervals
Results
38.0ms101×body1024valid
11.0ms30×body2048valid
8.0ms39×body512valid
3.0ms68×body128valid
2.0ms16×body256valid
1.0msbody4096valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-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 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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
21114

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
52.9b
Counts
1 → 1
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) 1)
0.7b
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
1.8b
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.0b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite115.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
52.6b
Rules
10×*-un-lft-identity_binary64
add-log-exp_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 log-prod_binary64
sqrt-prod_binary64
sqrt-div_binary64 log-div_binary64 distribute-lft-out_binary64 sum-log_binary64 +-commutative_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 log-pow_binary64 rem-log-exp_binary64
Counts
4 → 53
Calls

4 calls:

6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(+.f64 (*.f64 x x) 1)
Compiler

Compiled 883 to 528 computations (40.2% saved)

series83.0ms (2%)

Error
0.0b
Counts
4 → 31
Calls

4 calls:

17.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
16.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
13.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(+.f64 (*.f64 x x) 1)
Compiler

Compiled 755 to 646 computations (14.4% saved)

simplify133.0ms (3.2%)

Algorithm
egg-herbie
Rules
422×times-frac_binary64
363×distribute-rgt-in_binary64
323×cancel-sign-sub-inv_binary64
274×distribute-lft-in_binary64
222×associate-*l*_binary64
211×associate-*r*_binary64
176×distribute-rgt-out_binary64
173×sub-neg_binary64
160×unswap-sqr_binary64
148×associate-/r*_binary64
138×neg-mul-1_binary64
135×associate--r+_binary64
127×distribute-rgt-neg-in_binary64
101×associate--l+_binary64
99×distribute-lft-neg-in_binary64
85×*-commutative_binary64
71×distribute-lft-out_binary64
70×+-commutative_binary64
65×associate-+l+_binary64
61×associate-*r/_binary64
58×distribute-rgt-out--_binary64
57×associate-*l/_binary64
55×associate-/l*_binary64 associate--r-_binary64
54×associate-+r+_binary64
47×distribute-neg-frac_binary64
45×sqr-pow_binary64
44×exp-prod_binary64
41×associate-+r-_binary64
39×neg-sub0_binary64 associate-+l-_binary64
38×log-prod_binary64
35×unsub-neg_binary64
31×associate-/l/_binary64
30×div-sub_binary64
25×+-rgt-identity_binary64
24×associate--l-_binary64
23×pow-plus_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64
22×unpow3_binary64
21×log-div_binary64 cube-prod_binary64
18×sub0-neg_binary64 distribute-lft-out--_binary64
15×cube-unmult_binary64 *-rgt-identity_binary64
13×*-lft-identity_binary64 difference-of-squares_binary64
12×distribute-lft1-in_binary64
11×cube-mult_binary64
exp-sum_binary64 rem-sqrt-square_binary64 pow-sqr_binary64
--rgt-identity_binary64
prod-exp_binary64 distribute-lft-neg-out_binary64 count-2_binary64
log-pow_binary64 log-rec_binary64 unpow1/2_binary64 difference-of-sqr--1_binary64 associate-/r/_binary64
mul-1-neg_binary64 difference-of-sqr-1_binary64 distribute-rgt-neg-out_binary64
unpow2_binary64 +-inverses_binary64 swap-sqr_binary64
unpow1_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 rem-exp-log_binary64 cube-div_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 remove-double-div_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 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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_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 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
84 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261217
13051123
26671093
318581087
443751087
549471087
649991087
748551087

prune42.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365
Error
0.0b
Counts
65 → 3
Compiler

Compiled 791 to 515 computations (34.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (pow.f64 x 3) 1/6)
0.3b
(*.f64 3/40 (pow.f64 x 5))
16.5b
(+.f64 (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 3/40 (pow.f64 x 5)))

rewrite85.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×add-sqr-sqrt_binary64
15×associate-*l*_binary64
13×add-exp-log_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
add-log-exp_binary64 unpow-prod-down_binary64
add-cbrt-cube_binary64 unswap-sqr_binary64
prod-exp_binary64
sqr-pow_binary64 cube-prod_binary64
pow1_binary64
sum-log_binary64 associate-+l+_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
diff-log_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 +-commutative_binary64 unpow3_binary64 cube-mult_binary64
Counts
3 → 71
Calls

3 calls:

7.0ms
(*.f64 3/40 (pow.f64 x 5))
6.0ms
(+.f64 (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 3/40 (pow.f64 x 5)))
6.0ms
(*.f64 (pow.f64 x 3) 1/6)
Compiler

Compiled 1294 to 1023 computations (20.9% saved)

series33.0ms (0.8%)

Error
0.0b
Counts
3 → 11
Calls

3 calls:

11.0ms
(+.f64 (-.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 3/40 (pow.f64 x 5)))
9.0ms
(*.f64 3/40 (pow.f64 x 5))
9.0ms
(*.f64 (pow.f64 x 3) 1/6)
Compiler

Compiled 274 to 231 computations (15.7% saved)

simplify95.0ms (2.3%)

Algorithm
egg-herbie
Rules
626×unswap-sqr_binary64
389×log-prod_binary64
335×cancel-sign-sub-inv_binary64
311×*-commutative_binary64
219×exp-prod_binary64
159×distribute-rgt-in_binary64
148×distribute-lft-in_binary64
144×sqr-pow_binary64
125×associate-*l*_binary64
110×associate-*r*_binary64
108×cube-prod_binary64
107×swap-sqr_binary64
88×unsub-neg_binary64
80×distribute-rgt-neg-in_binary64
72×sub-neg_binary64
70×distribute-lft-neg-in_binary64
69×distribute-rgt-neg-out_binary64
64×neg-mul-1_binary64 neg-sub0_binary64
49×associate-+l+_binary64
43×distribute-neg-in_binary64 associate-+r+_binary64
39×times-frac_binary64
38×exp-sum_binary64
34×log-pow_binary64
28×pow-sqr_binary64 +-commutative_binary64
20×unpow3_binary64
18×pow-plus_binary64 exp-diff_binary64
17×associate--r+_binary64
15×distribute-rgt-out_binary64
14×cube-unmult_binary64 cube-mult_binary64
13×distribute-lft-neg-out_binary64 associate--l+_binary64 associate-+l-_binary64
11×associate-+r-_binary64
10×distribute-neg-out_binary64
*-lft-identity_binary64
*-rgt-identity_binary64 sub0-neg_binary64 distribute-rgt-out--_binary64
rem-sqrt-square_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 associate-/l*_binary64
mul0-rgt_binary64 mul0-lft_binary64
associate--r-_binary64
div-exp_binary64 --rgt-identity_binary64 count-2_binary64 associate-/r*_binary64
prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate-*r/_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 div-sub_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64
Counts
82 → 49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331083
12921032
29171020
322911020
448231020
550951020

prune35.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done000
Total49352
Error
0.0b
Counts
52 → 3
Compiler

Compiled 683 to 536 computations (21.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite33.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×*-un-lft-identity_binary64
add-log-exp_binary64
distribute-lft-out_binary64
log-prod_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 log-div_binary64
associate-+r+_binary64 +-commutative_binary64 log-pow_binary64 rem-log-exp_binary64
Counts
2 → 31
Calls

2 calls:

8.0ms
(+.f64 x (+.f64 x (/.f64 1/2 x)))
7.0ms
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Compiler

Compiled 442 to 294 computations (33.5% saved)

series30.0ms (0.7%)

Error
0.0b
Counts
2 → 11
Calls

2 calls:

15.0ms
(+.f64 x (+.f64 x (/.f64 1/2 x)))
11.0ms
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Compiler

Compiled 235 to 211 computations (10.2% saved)

simplify90.0ms (2.2%)

Algorithm
egg-herbie
Rules
621×sub-neg_binary64
458×associate-*l*_binary64
337×associate-*r*_binary64
232×associate--r+_binary64
211×div-sub_binary64
200×+-commutative_binary64
193×distribute-rgt-in_binary64
189×associate--l+_binary64
169×distribute-lft-in_binary64
161×associate-+l-_binary64
155×associate-+r-_binary64
140×cancel-sign-sub-inv_binary64
122×associate-*l/_binary64
118×associate-*r/_binary64
110×log-prod_binary64
98×*-commutative_binary64
95×unsub-neg_binary64
85×associate-+l+_binary64
81×distribute-neg-in_binary64
77×associate--r-_binary64
70×neg-mul-1_binary64
69×neg-sub0_binary64
68×associate-+r+_binary64
64×distribute-rgt-out_binary64
58×exp-prod_binary64
56×log-div_binary64 exp-diff_binary64
45×associate-/r*_binary64
41×distribute-rgt-neg-in_binary64
39×associate--l-_binary64
37×distribute-lft-neg-in_binary64
31×associate-/l*_binary64
30×times-frac_binary64
27×exp-sum_binary64
24×sqr-pow_binary64 distribute-lft-out_binary64
22×unswap-sqr_binary64
16×distribute-neg-frac_binary64 distribute-lft-neg-out_binary64
14×distribute-rgt-neg-out_binary64
13×distribute-rgt-out--_binary64
12×+-rgt-identity_binary64
11×cube-prod_binary64
10×unpow3_binary64 --rgt-identity_binary64
pow-plus_binary64
cube-unmult_binary64 sub0-neg_binary64 associate-/l/_binary64
prod-exp_binary64 swap-sqr_binary64 count-2_binary64
log-pow_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
log-rec_binary64 +-inverses_binary64 pow-sqr_binary64 difference-of-squares_binary64
unpow1/2_binary64 unpow1_binary64 cube-mult_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
unpow2_binary64 exp-to-pow_binary64 exp-lft-sqr_binary64 1-exp_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_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 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
42 → 33
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074692
1162613
2393589
31325577
43704573
54799573
64821573

prune17.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh011
Picked011
Done011
Total33336
Error
0.0b
Counts
36 → 3
Compiler

Compiled 342 to 212 computations (38% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
0.5b
(/.f64 1/8 (pow.f64 x 3))
12.6b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

rewrite144.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×*-un-lft-identity_binary64
40×times-frac_binary64
29×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
12×unpow-prod-down_binary64 cube-prod_binary64 associate-/r*_binary64
add-exp-log_binary64
log-prod_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 distribute-lft-out_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64
log-div_binary64 div-exp_binary64 associate-/l*_binary64
frac-add_binary64 flip3-+_binary64 flip-+_binary64
log-pow_binary64 rem-log-exp_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 sum-log_binary64 +-commutative_binary64
Counts
3 → 96
Calls

3 calls:

32.0ms
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
30.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
6.0ms
(/.f64 1/8 (pow.f64 x 3))
Compiler

Compiled 1483 to 1199 computations (19.2% saved)

series38.0ms (0.9%)

Error
0.0b
Counts
3 → 13
Calls

3 calls:

15.0ms
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
10.0ms
(/.f64 1/8 (pow.f64 x 3))
9.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 315 to 288 computations (8.6% saved)

simplify103.0ms (2.5%)

Algorithm
egg-herbie
Rules
685×associate-*l*_binary64
387×associate-/l*_binary64
330×log-prod_binary64 associate-*l/_binary64
298×associate-*r/_binary64
284×associate-/l/_binary64
139×unswap-sqr_binary64
128×associate-/r*_binary64
124×cancel-sign-sub-inv_binary64
78×associate-/r/_binary64
75×distribute-rgt-neg-in_binary64
73×log-div_binary64
72×distribute-lft-neg-in_binary64
67×distribute-rgt-in_binary64
54×distribute-neg-frac_binary64
53×distribute-lft-in_binary64
44×associate-*r*_binary64
41×cube-prod_binary64
33×times-frac_binary64 sqr-pow_binary64
30×sub-neg_binary64
27×swap-sqr_binary64
22×log-pow_binary64
21×distribute-rgt-out_binary64
20×*-commutative_binary64
18×neg-mul-1_binary64 neg-sub0_binary64
17×distribute-lft-neg-out_binary64
15×distribute-lft-out_binary64
14×+-commutative_binary64
13×cube-div_binary64 distribute-rgt-neg-out_binary64
11×unpow3_binary64
log-rec_binary64 pow-plus_binary64 exp-prod_binary64 cube-mult_binary64 div-sub_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64
rem-sqrt-square_binary64 *-rgt-identity_binary64 pow-sqr_binary64 distribute-neg-in_binary64
cube-unmult_binary64
prod-exp_binary64 distribute-lft-out--_binary64 count-2_binary64
unsub-neg_binary64 /-rgt-identity_binary64 associate-+l-_binary64 associate-+r-_binary64
exp-diff_binary64 associate--l+_binary64 associate-+l+_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 *-lft-identity_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 distribute-rgt1-in_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 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 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r+_binary64
Counts
109 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581700
12971608
29941578
347671577
451911577

prune35.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New73174
Fresh000
Picked011
Done022
Total73477
Error
0b
Counts
77 → 4
Compiler

Compiled 781 to 607 computations (22.3% saved)

regimes338.0ms (8.2%)

Accuracy

Total 0.0b remaining (2.3%)

Threshold costs 0.0b (2.3%)

Compiler

Compiled 2945 to 2331 computations (20.8% saved)

bsearch36.0ms (0.9%)

Steps
ItersRangePoint
10
7.474895390369277e-05
1021206.3803425065
1.0399647248488046
10
-124861369.83480515
-0.0007433186986077493
-1.1513240953628694
Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_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_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03597
15197
25897
36297
46597
56697
66497

end2.0ms (0.1%)

Compiler

Compiled 64 to 51 computations (20.3% saved)

sample2.2s (54.3%)

Algorithm
intervals
Results
945.0ms2526×body1024valid
395.0ms1200×body2048valid
270.0ms1285×body512valid
106.0ms2346×body128valid
70.0ms600×body256valid
19.0ms43×body4096valid
Compiler

Compiled 157 to 131 computations (16.6% saved)

Profiling

Loading profile data...