Details

Time bar (total: 13.8s)

analyze25.0ms (0.2%)

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%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample91.0ms (0.7%)

Algorithm
intervals
Results
57.0ms139×body1024valid
12.0ms53×body512valid
5.0ms12×body2048valid
4.0ms28×body256valid
2.0ms24×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify267.0ms (1.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0479722
1479722

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.4b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.6b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite45.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_419
30×times-frac_binary64_425 add-sqr-sqrt_binary64_441
16×add-cube-cbrt_binary64_454
sinh-undef_binary64_612 cosh-undef_binary64_613 difference-of-squares_binary64_388 distribute-lft-out_binary64_370 distribute-lft-out--_binary64_371
associate-/l*_binary64_364
associate-/r*_binary64_363
add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-exp-log_binary64_457
cancel-sign-sub-inv_binary64_385
flip3--_binary64_423 associate-/r/_binary64_365 flip--_binary64_394 pow1_binary64_480 associate-/l/_binary64_366
flip3-+_binary64_422 clear-num_binary64_418 sub-neg_binary64_412 div-inv_binary64_416 frac-2neg_binary64_430 flip-+_binary64_393 diff-log_binary64_511 div-exp_binary64_470 tanh-undef_binary64_614 cbrt-undiv_binary64_453 div-sub_binary64_424
Counts
2 → 76
Calls

2 calls:

23.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series150.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

117.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
33.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify140.0ms (1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
049532143
149532143

prune999.0ms (7.3%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New463682
Fresh000
Picked011
Done000
Total463783

Merged error: 0b

Counts
83 → 37
Compiler

Compiled 2529 to 709 computations (72% saved)

localize34.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_419 add-log-exp_binary64_458 tanh-def-b_binary64_607 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 tanh-def-a_binary64_606 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480 tanh-def-c_binary64_608
Counts
1 → 10
Calls

1 calls:

2.0ms
(tanh.f64 x)

series84.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

84.0ms
(tanh.f64 x)

simplify92.0ms (0.7%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05383124

prune206.0ms (1.5%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New5813
Fresh13435
Picked011
Done101
Total74350

Merged error: 0b

Counts
50 → 43
Compiler

Compiled 1019 to 498 computations (51.1% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_419 add-log-exp_binary64_458 tanh-def-b_binary64_607 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 tanh-def-a_binary64_606 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480 tanh-def-c_binary64_608
Counts
1 → 10
Calls

1 calls:

2.0ms
(tanh.f64 x)

series161.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

161.0ms
(tanh.f64 x)

simplify174.0ms (1.3%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
05383124

prune370.0ms (2.7%)

Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New5813
Fresh63541
Picked011
Done011
Total114556

Merged error: 0b

Counts
56 → 45
Compiler

Compiled 1047 to 533 computations (49.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_419 add-log-exp_binary64_458 tanh-def-b_binary64_607 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 tanh-def-a_binary64_606 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480 tanh-def-c_binary64_608
Counts
1 → 10
Calls

1 calls:

2.0ms
(tanh.f64 x)

series77.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

77.0ms
(tanh.f64 x)

simplify92.0ms (0.7%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05383124

prune148.0ms (1.1%)

Pruning

51 alts after pruning (48 fresh and 3 done)

PrunedKeptTotal
New6713
Fresh14142
Picked011
Done022
Total75158

Merged error: 0b

Counts
58 → 51
Compiler

Compiled 147 to 104 computations (29.3% saved)

regimes1.3s (9.8%)

Compiler

Compiled 3351 to 1827 computations (45.5% saved)

bsearch1.0s (7.3%)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms (0%)

sample8.2s (59.5%)

Algorithm
intervals
Results
2.3s3952×body1024valid
588.0ms1889×body512valid
237.0ms402×body2048valid
172.0ms944×body256valid
85.0ms813×body128valid
Compiler

Compiled 1629 to 896 computations (45% saved)

Pareto

0.09560056574113335

Profiling

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