Details

Time bar (total: 1.5s)

analyze43.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true
0.0mspre80false

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0501217

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 13.3b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
29.7b
(/.f64 (*.f64 b b) (*.f64 a a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary64_546 add-exp-log_binary64_538
add-sqr-sqrt_binary64_559 div-exp_binary64_527 cbrt-unprod_binary64_543 cbrt-undiv_binary64_544 prod-exp_binary64_525
*-un-lft-identity_binary64_574 add-cube-cbrt_binary64_545 pow1_binary64_520 sqrt-prod_binary64_553
add-log-exp_binary64_539
rem-sqrt-square_binary64_562 div-inv_binary64_575 associate-/l*_binary64_638 sqrt-pow1_binary64_555 frac-2neg_binary64_567 clear-num_binary64_577 pow1/2_binary64_510 associate-/r*_binary64_637 times-frac_binary64_569
Counts
2 → 34
Calls
2 calls:
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
6.0ms
(/.f64 (*.f64 b b) (*.f64 a a))

series66.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
25.0ms
(/.f64 (*.f64 b b) (*.f64 a a))

simplify103.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04878524
14878524

prune88.0ms

Filtered
24 candidates to 40 candidates (-66.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New39140
Fresh000
Picked101
Done000
Total40141

Merged error: 0b

Counts
41 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
0.4b
(*.f64 (/.f64 b a) (/.f64 b a))
6.6b
(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64_559
40×times-frac_binary64_569
33×*-un-lft-identity_binary64_574 add-cube-cbrt_binary64_545
15×add-cbrt-cube_binary64_546 add-exp-log_binary64_538
13×associate-*l*_binary64_634 swap-sqr_binary64_601 associate-*r*_binary64_633
12×pow1_binary64_520
div-inv_binary64_575 unswap-sqr_binary64_602 div-exp_binary64_527 cbrt-unprod_binary64_543 cbrt-undiv_binary64_544 add-log-exp_binary64_539 prod-exp_binary64_525
log-prod_binary64_492 sqrt-prod_binary64_553 log-pow_binary64_495
frac-times_binary64_566 pow-plus_binary64_515 rem-sqrt-square_binary64_562 exp-prod_binary64_528 sqrt-pow1_binary64_555 pow2_binary64_511 pow-prod-up_binary64_500 exp-to-pow_binary64_514 pow1/2_binary64_510 rem-log-exp_binary64_537 associate-*l/_binary64_636 pow-sqr_binary64_607 *-commutative_binary64_642 pow-prod-down_binary64_501 associate-*r/_binary64_635
Counts
3 → 94
Calls
3 calls:
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
11.0ms
(*.f64 (/.f64 b a) (/.f64 b a))
2.0ms
(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

series77.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a)))))))
21.0ms
(*.f64 (/.f64 b a) (/.f64 b a))
27.0ms
(log.f64 (exp.f64 (*.f64 (/.f64 b a) (/.f64 b a))))

simplify84.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
053551393

prune226.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done000
Total1031104

Merged error: 0b

Counts
104 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02121
12121

end0.0ms

sample673.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid
151.0ms8000×pre80true
2.0ms127×pre80false

Profiling

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