Details

Time bar (total: 3.6s)

analyze14.0ms (0.4%)

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)

sample55.0ms (1.5%)

Algorithm
intervals
Results
31.0ms122×body1024valid
7.0ms58×body512valid
4.0ms13×body2048valid
3.0ms38×body256valid
1.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify167.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
57.2b
Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.3b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.8b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite100.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
47×*-un-lft-identity_binary64_419
31×add-sqr-sqrt_binary64_441
30×times-frac_binary64_425
17×add-cube-cbrt_binary64_454
cosh-undef_binary64_613 distribute-lft-out_binary64_370
sinh-undef_binary64_612 add-log-exp_binary64_458 difference-of-squares_binary64_388 distribute-lft-out--_binary64_371
associate-/l*_binary64_364
add-exp-log_binary64_457 add-cbrt-cube_binary64_455 associate-/r*_binary64_363
pow1_binary64_480 cancel-sign-sub-inv_binary64_385
flip3--_binary64_423 flip--_binary64_394 associate-/l/_binary64_366 flip3-+_binary64_422 associate-/r/_binary64_365 flip-+_binary64_393
diff-log_binary64_511 sub-neg_binary64_412 tanh-undef_binary64_614 div-exp_binary64_470 cbrt-undiv_binary64_453 frac-2neg_binary64_430 div-sub_binary64_424 clear-num_binary64_418 div-inv_binary64_416 sum-log_binary64_510 +-commutative_binary64_349
Counts
3 → 89
Calls

3 calls:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1999 to 313 computations (84.3% saved)

series144.0ms (4%)

Error
0.2b
Counts
3 → 18
Calls

3 calls:

75.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
29.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
20.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify87.0ms (2.4%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050392484

prune88.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh000
Picked011
Done000
Total1053108
Error
0b
Counts
108 → 3
Compiler

Compiled 2083 to 414 computations (80.1% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
tanh-def-c_binary64_608 tanh-def-b_binary64_607 tanh-def-a_binary64_606 pow1_binary64_480 add-log-exp_binary64_458 add-exp-log_binary64_457 add-cbrt-cube_binary64_455 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)
Compiler

Compiled 82 to 46 computations (43.9% saved)

series71.0ms (2%)

Error
0b
Counts
1 → 6
Calls

1 calls:

66.0ms
(tanh.f64 x)
Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify36.0ms (1%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04965163
14965163

prune10.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done011
Total16319
Error
0b
Counts
19 → 3
Compiler

Compiled 141 to 88 computations (37.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315))
0.1b
(*.f64 (pow.f64 x 7) 17/315)
0.1b
(*.f64 (pow.f64 x 5) 2/15)
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite174.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
31×add-sqr-sqrt_binary64_441
19×add-exp-log_binary64_457
18×associate-*r*_binary64_359
17×associate-*l*_binary64_360
14×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
12×unpow-prod-down_binary64_498
10×add-cbrt-cube_binary64_455 unswap-sqr_binary64_387
prod-exp_binary64_468
add-log-exp_binary64_458 sqr-pow_binary64_391
pow1_binary64_480 cube-prod_binary64_447
pow-to-exp_binary64_488 pow-exp_binary64_487 cbrt-unprod_binary64_452 *-commutative_binary64_350
unpow3_binary64_485 cube-mult_binary64_449 sum-log_binary64_510 flip3-+_binary64_422 flip-+_binary64_393 +-commutative_binary64_349
Counts
4 → 92
Calls

4 calls:

9.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315))
7.0ms
(*.f64 1/3 (pow.f64 x 3))
5.0ms
(*.f64 (pow.f64 x 7) 17/315)
5.0ms
(*.f64 (pow.f64 x 5) 2/15)
Compiler

Compiled 2393 to 1912 computations (20.1% saved)

series272.0ms (7.6%)

Error
0b
Counts
4 → 15
Calls

4 calls:

133.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315))
47.0ms
(*.f64 (pow.f64 x 7) 17/315)
42.0ms
(*.f64 (pow.f64 x 5) 2/15)
36.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 762 to 628 computations (17.6% saved)

simplify65.0ms (1.8%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049211181
149211181

prune146.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done022
Total1073110
Error
0b
Counts
110 → 3
Compiler

Compiled 2491 to 1970 computations (20.9% saved)

regimes68.0ms (1.9%)

Accuracy

Total 0.0b remaining (97.3%)

Threshold costs 0.0b (97.3%)

Compiler

Compiled 618 to 480 computations (22.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.0s (57.2%)

Algorithm
intervals
Results
988.0ms3880×body1024valid
259.0ms1969×body512valid
113.0ms387×body2048valid
78.0ms951×body256valid
32.0ms813×body128valid
Compiler

Compiled 311 to 243 computations (21.9% saved)

Profiling

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