Details

Time bar (total: 4.5s)

analyze250.0ms (5.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify240.0ms (5.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
078210
178210

prune18.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite71.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
associate-/l*_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 flip3--_binary64 flip--_binary64
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 714 to 167 computations (76.6% saved)

series136.0ms (3%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

119.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 477 to 409 computations (14.3% saved)

simplify74.0ms (1.7%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05648979

prune39.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Error
0b
Counts
64 → 4
Compiler

Compiled 828 to 233 computations (71.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.1b
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite440.0ms (9.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
321×*-un-lft-identity_binary64
190×times-frac_binary64
183×add-sqr-sqrt_binary64
160×cbrt-prod_binary64
89×add-cube-cbrt_binary64
56×distribute-lft-out_binary64
51×swap-sqr_binary64
47×distribute-lft-out--_binary64
35×difference-of-squares_binary64
29×associate-*l*_binary64 associate-*r*_binary64
15×associate-/r*_binary64
14×associate-/r/_binary64
12×add-exp-log_binary64 associate-/l*_binary64
11×pow1_binary64
10×add-cbrt-cube_binary64
unswap-sqr_binary64
div-inv_binary64 flip3--_binary64 flip--_binary64
pow1/3_binary64 associate-/l/_binary64
add-log-exp_binary64 cbrt-div_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 flip3-+_binary64 flip-+_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 274
Calls

4 calls:

51.0ms
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 10309 to 1469 computations (85.8% saved)

series618.0ms (13.8%)

Error
0b
Counts
4 → 72
Calls

4 calls:

184.0ms
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
130.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
117.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
101.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 4731 to 2468 computations (47.8% saved)

simplify125.0ms (2.8%)

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049267792
149267792

prune420.0ms (9.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3460346
Fresh022
Picked011
Done011
Total3464350
Error
0b
Counts
350 → 4
Compiler

Compiled 11252 to 1783 computations (84.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (*.f64 2 (/.f64 f n)))
0.0b
(*.f64 2 (/.f64 f n))

rewrite52.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64
associate-*l*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 43
Calls

2 calls:

10.0ms
(*.f64 2 (/.f64 f n))
3.0ms
(+.f64 1 (*.f64 2 (/.f64 f n)))
Compiler

Compiled 615 to 373 computations (39.3% saved)

series165.0ms (3.7%)

Error
0b
Counts
2 → 18
Calls

2 calls:

94.0ms
(+.f64 1 (*.f64 2 (/.f64 f n)))
63.0ms
(*.f64 2 (/.f64 f n))
Compiler

Compiled 288 to 252 computations (12.5% saved)

simplify101.0ms (2.3%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04923622
14923622

prune55.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done022
Total61465
Error
0b
Counts
65 → 4
Compiler

Compiled 652 to 387 computations (40.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (/.f64 n f))
0.1b
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))

rewrite149.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×add-sqr-sqrt_binary64
20×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
16×associate-*l*_binary64 associate-*r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
associate-*r/_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 sub-neg_binary64 distribute-rgt-in_binary64 cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 div-inv_binary64 *-commutative_binary64
associate-*l/_binary64
Counts
2 → 72
Calls

2 calls:

15.0ms
(*.f64 2 (/.f64 n f))
13.0ms
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))
Compiler

Compiled 1554 to 840 computations (45.9% saved)

series320.0ms (7.1%)

Error
0b
Counts
2 → 18
Calls

2 calls:

241.0ms
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))
65.0ms
(*.f64 2 (/.f64 n f))
Compiler

Compiled 666 to 528 computations (20.7% saved)

simplify81.0ms (1.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048751337
148751337

prune120.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done033
Total90494
Error
0b
Counts
94 → 4
Compiler

Compiled 1618 to 859 computations (46.9% saved)

regimes120.0ms (2.7%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Compiler

Compiled 1100 to 653 computations (40.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04012
14012

end0.0ms (0%)

sample833.0ms (18.6%)

Algorithm
intervals
Results
236.0ms8000×body128valid
Compiler

Compiled 377 to 226 computations (40.1% saved)

Profiling

Loading profile data...