Details

Time bar (total: 2.9s)

analyze36.0ms (1.2%)

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
Compiler

Compiled 18 to 11 computations (38.9% saved)

sample21.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
5.0ms256×pre128true
0.0mspre128false
Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify166.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0483617
1483617

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.9b

Counts
2 → 2
Compiler

Compiled 35 to 26 computations (25.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
30.0b
(/.f64 (*.f64 b b) (*.f64 a a))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
cbrt-undiv_binary64_1476 cbrt-unprod_binary64_1475 add-sqr-sqrt_binary64_1464 prod-exp_binary64_1491 div-exp_binary64_1493
sqrt-prod_binary64_1458 pow1_binary64_1503 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
add-log-exp_binary64_1481
sqrt-pow1_binary64_1460 associate-/r*_binary64_1386 rem-sqrt-square_binary64_1455 times-frac_binary64_1448 div-inv_binary64_1439 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453 pow1/2_binary64_1522
Counts
2 → 34
Calls

2 calls:

7.0ms
(/.f64 (*.f64 b b) (*.f64 a a))
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))

series153.0ms (5.2%)

Counts
2 → 12
Calls

2 calls:

89.0ms
(/.f64 (*.f64 b b) (*.f64 a a))
64.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
Compiler

Compiled 280 to 280 computations (0% saved)

simplify74.0ms (2.5%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04892554
14892554

prune44.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh101
Picked101
Done000
Total46248

Merged error: 0b

Counts
48 → 2
Compiler

Compiled 617 to 378 computations (38.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b
(pow.f64 (/.f64 b a) 2)
4.8b
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down_binary64_1521
22×add-sqr-sqrt_binary64_1464
21×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
19×log-pow_binary64_1531
18×times-frac_binary64_1448 exp-prod_binary64_1494
add-exp-log_binary64_1480 pow1_binary64_1503
add-cbrt-cube_binary64_1478 log-prod_binary64_1528 pow-unpow_binary64_1519 add-log-exp_binary64_1481 sqrt-prod_binary64_1458
pow-exp_binary64_1510 unpow2_binary64_1507 div-inv_binary64_1439 sqr-pow_binary64_1414
sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 rem-log-exp_binary64_1483 pow1/2_binary64_1522 div-exp_binary64_1493 pow-to-exp_binary64_1511 pow-pow_binary64_1514
Counts
3 → 72
Calls

3 calls:

7.0ms
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms
(pow.f64 (/.f64 b a) 2)
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

series397.0ms (13.5%)

Counts
3 → 18
Calls

3 calls:

259.0ms
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
70.0ms
(pow.f64 (/.f64 b a) 2)
68.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
Compiler

Compiled 448 to 448 computations (0% saved)

simplify46.0ms (1.6%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05119966

prune80.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done000
Total90292

Merged error: 0b

Counts
92 → 2
Compiler

Compiled 1298 to 869 computations (33.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.0b
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b
(pow.f64 (/.f64 b a) 2)
0.4b
(pow.f64 (/.f64 b a) 2)

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down_binary64_1521
22×add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
18×times-frac_binary64_1448
10×add-exp-log_binary64_1480
cbrt-prod_binary64_1473 pow-unpow_binary64_1519 pow1_binary64_1503
add-cbrt-cube_binary64_1478 pow-exp_binary64_1510 add-log-exp_binary64_1481
unpow2_binary64_1507 div-inv_binary64_1439 sqr-pow_binary64_1414 pow1/3_binary64_1524 div-exp_binary64_1493 pow-to-exp_binary64_1511 pow-pow_binary64_1514
Counts
4 → 80
Calls

4 calls:

5.0ms
(pow.f64 (/.f64 b a) 2)
5.0ms
(pow.f64 (/.f64 b a) 2)
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

series775.0ms (26.3%)

Counts
4 → 24
Calls

4 calls:

318.0ms
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
303.0ms
(cbrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
78.0ms
(pow.f64 (/.f64 b a) 2)
74.0ms
(pow.f64 (/.f64 b a) 2)
Compiler

Compiled 1160 to 1064 computations (8.3% saved)

simplify42.0ms (1.4%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050751368

prune144.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done011
Total1042106

Merged error: 0b

Counts
106 → 2
Compiler

Compiled 2622 to 1762 computations (32.8% saved)

regimes111.0ms (3.8%)

Compiler

Compiled 750 to 640 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02218
12218

end0.0ms (0%)

sample771.0ms (26.2%)

Algorithm
intervals
Results
278.0ms8000×body128valid
155.0ms8000×pre128true
2.0ms112×pre128false
Compiler

Compiled 115 to 100 computations (13% saved)

Profiling

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