Details

Time bar (total: 6.2s)

analyze9.0ms (0.1%)

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
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample119.0ms (1.9%)

Algorithm
intervals
Results
77.0ms137×body1024valid
15.0ms54×body512valid
9.0ms15×body2048valid
6.0ms33×body256valid
1.0ms17×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify399.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0482813
1482813

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.5b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_414 add-log-exp_binary64_450 add-sqr-sqrt_binary64_435
flip3--_binary64_418 distribute-lft-out--_binary64_368 pow1_binary64_472 difference-of-squares_binary64_383 add-cube-cbrt_binary64_446 diff-log_binary64_503 add-exp-log_binary64_449 sub-neg_binary64_407 sinh-undef_binary64_604 add-cbrt-cube_binary64_447 flip--_binary64_389
Counts
1 → 14
Calls

1 calls:

11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series77.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

77.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify138.0ms (2.2%)

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
04875255
14875255

prune29.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2
Compiler

Compiled 244 to 119 computations (51.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(sinh.f64 x)

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_472 add-cube-cbrt_binary64_446 sinh-def_binary64_596 add-exp-log_binary64_449 *-un-lft-identity_binary64_414 add-cbrt-cube_binary64_447 add-log-exp_binary64_450 add-sqr-sqrt_binary64_435
Counts
1 → 8
Calls

1 calls:

2.0ms
(sinh.f64 x)

series147.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

147.0ms
(sinh.f64 x)

simplify95.0ms (1.5%)

Algorithm
egg-herbie
Counts
11 → 11
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
0541298

prune23.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New10111
Fresh011
Picked011
Done000
Total10313

Merged error: 0b

Counts
13 → 3
Compiler

Compiled 146 to 105 computations (28.1% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
0.0b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite48.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_435
19×associate-*r*_binary64_356
13×add-exp-log_binary64_449
10×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
unpow-prod-down_binary64_490
add-cbrt-cube_binary64_447 unswap-sqr_binary64_382
prod-exp_binary64_460 associate-*l*_binary64_357
add-log-exp_binary64_450
cube-prod_binary64_439 sqr-pow_binary64_386
pow1_binary64_472
*-commutative_binary64_347 pow-exp_binary64_479 pow-to-exp_binary64_480 cbrt-unprod_binary64_444
flip3-+_binary64_417 cube-mult_binary64_441 +-commutative_binary64_346 unpow3_binary64_477 flip-+_binary64_388 sum-log_binary64_502
Counts
3 → 67
Calls

3 calls:

14.0ms
(*.f64 1/3 (pow.f64 x 3))
11.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
11.0ms
(*.f64 1/60 (pow.f64 x 5))

series566.0ms (9.2%)

Counts
3 → 9
Calls

3 calls:

369.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
106.0ms
(*.f64 1/60 (pow.f64 x 5))
90.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify85.0ms (1.4%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04888877
14888877

prune158.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done011
Total76379

Merged error: 0b

Counts
79 → 3
Compiler

Compiled 1645 to 1191 computations (27.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 x)
0.0b
(pow.f64 (sinh.f64 x) 3)
39.6b
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

rewrite21.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_442
add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
cube-prod_binary64_439 unpow-prod-down_binary64_490
pow1_binary64_472 add-exp-log_binary64_449 add-cbrt-cube_binary64_447
sinh-def_binary64_596 pow-unpow_binary64_488 add-log-exp_binary64_450
cube-mult_binary64_441 sqr-pow_binary64_386 unpow3_binary64_477 cube-div_binary64_440
cbrt-div_binary64_443 pow-pow_binary64_483 pow-exp_binary64_479 rem-cbrt-cube_binary64_437 pow-to-exp_binary64_480 pow1/3_binary64_493 rem-cube-cbrt_binary64_436
Counts
3 → 54
Calls

3 calls:

6.0ms
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
5.0ms
(pow.f64 (sinh.f64 x) 3)
2.0ms
(sinh.f64 x)

series579.0ms (9.4%)

Counts
3 → 9
Calls

3 calls:

306.0ms
(pow.f64 (sinh.f64 x) 3)
140.0ms
(sinh.f64 x)
133.0ms
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

simplify77.0ms (1.2%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04936563
14936563

prune81.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done022
Total63366

Merged error: 0b

Counts
66 → 3
Compiler

Compiled 777 to 544 computations (30% saved)

regimes18.0ms (0.3%)

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample3.4s (55.4%)

Algorithm
intervals
Results
2.0s4013×body1024valid
518.0ms1893×body512valid
229.0ms421×body2048valid
174.0ms1027×body256valid
54.0ms646×body128valid
Compiler

Compiled 47 to 44 computations (6.4% saved)

Profiling

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