Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (1%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify262.0ms (19.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
048059
148059

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
exp-prod_binary64_463
add-log-exp_binary64_450
*-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
difference-of-squares_binary64_383 add-cube-cbrt_binary64_446 rem-exp-log_binary64_451
pow1_binary64_472 diff-log_binary64_503 exp-sum_binary64_457 exp-diff_binary64_459 add-exp-log_binary64_449 sub-neg_binary64_407 add-cbrt-cube_binary64_447 difference-of-sqr-1_binary64_384
Counts
1 → 17
Calls

1 calls:

6.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

series21.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

21.0ms
(exp.f64 (-.f64 (*.f64 x x) 1))

simplify103.0ms (7.5%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
04941196
14941196

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh000
Picked011
Done000
Total19221

Merged error: 0.0b

Counts
21 → 2
Compiler

Compiled 204 to 126 computations (38.2% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (+.f64 x 1))
0.0b
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))

rewrite16.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_414
10×add-sqr-sqrt_binary64_435
exp-prod_binary64_463
pow-unpow_binary64_488
add-cube-cbrt_binary64_446
pow-pow_binary64_483 add-log-exp_binary64_450
unpow-prod-down_binary64_490
pow1_binary64_472
difference-of-squares_binary64_383 exp-sum_binary64_457 rem-exp-log_binary64_451 add-exp-log_binary64_449 add-cbrt-cube_binary64_447 distribute-lft-out_binary64_367
distribute-lft-out--_binary64_368 sqr-pow_binary64_386 pow-exp_binary64_479 pow-to-exp_binary64_480 sub-neg_binary64_407 pow-sub_binary64_487 difference-of-sqr-1_binary64_384 sum-log_binary64_502 unpow-prod-up_binary64_489
Counts
2 → 42
Calls

2 calls:

9.0ms
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
5.0ms
(exp.f64 (+.f64 x 1))

series65.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
11.0ms
(exp.f64 (+.f64 x 1))

simplify47.0ms (3.4%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05357591

prune40.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New47148
Fresh000
Picked011
Done011
Total47350

Merged error: 0b

Counts
50 → 3
Compiler

Compiled 605 to 461 computations (23.8% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (-.f64 -1 x))
0.0b
(pow.f64 (exp.f64 x) (+.f64 x 1))
0.0b
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)) (exp.f64 (-.f64 -1 x)))

rewrite26.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_435
14×*-un-lft-identity_binary64_414
10×add-cube-cbrt_binary64_446
associate-*l*_binary64_357 exp-prod_binary64_463
unpow-prod-down_binary64_490
add-log-exp_binary64_450
add-cbrt-cube_binary64_447
pow1_binary64_472 pow-unpow_binary64_488 pow-pow_binary64_483 add-exp-log_binary64_449 associate-*r*_binary64_356
sqr-pow_binary64_386 prod-exp_binary64_460 unswap-sqr_binary64_382
exp-sum_binary64_457 exp-diff_binary64_459 rem-exp-log_binary64_451 pow-exp_binary64_479 pow-to-exp_binary64_480 sub-neg_binary64_407 unpow-prod-up_binary64_489
distribute-lft-out--_binary64_368 difference-of-squares_binary64_383 diff-log_binary64_503 *-commutative_binary64_347 distribute-lft-out_binary64_367 cbrt-unprod_binary64_444 associate-*r/_binary64_358
Counts
3 → 66
Calls

3 calls:

11.0ms
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)) (exp.f64 (-.f64 -1 x)))
6.0ms
(pow.f64 (exp.f64 x) (+.f64 x 1))
4.0ms
(exp.f64 (-.f64 -1 x))

series122.0ms (8.9%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)) (exp.f64 (-.f64 -1 x)))
22.0ms
(pow.f64 (exp.f64 x) (+.f64 x 1))
16.0ms
(exp.f64 (-.f64 -1 x))

simplify63.0ms (4.6%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049141021
149141021

prune65.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done022
Total75378

Merged error: 0b

Counts
78 → 3
Compiler

Compiled 1169 to 773 computations (33.9% saved)

regimes15.0ms (1.1%)

Compiler

Compiled 58 to 48 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02117
12117

end0.0ms (0%)

sample454.0ms (33.3%)

Algorithm
intervals
Results
266.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 44 to 38 computations (13.6% saved)

Profiling

Loading profile data...