Details

Time bar (total: 12.4s)

analyze305.0ms (2.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
49.9%49.9%0.2%6
49.9%49.9%0.2%7
49.9%49.9%0.2%8
49.9%49.9%0.2%9
49.9%49.9%0.2%10
74.8%24.9%0.2%11
74.8%24.9%0.2%12
74.8%24.9%0.2%13
74.8%24.9%0.2%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample855.0ms (6.9%)

Infinites
8.2% of outputs are infinite.
Results
781.0ms8256×body128valid
Compiler

Compiled 50 to 32 computations (36% saved)

simplify119.0ms (1%)

Algorithm
egg-herbie
Rules
1627×fma-def_binary64
927×div-sub_binary64
619×times-frac_binary64
541×fma-neg_binary64
386×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01116
12114
24014
37814
416114
530214
665914
7159114
8304514
9307014
10338014
11346914
12348014
13489214
14512414

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
Compiler

Compiled 56 to 29 computations (48.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z t) (-.f64 a t))
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)

series59.0ms (0.5%)

Counts
2 → 96
Calls

2 calls:

39.0ms
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
20.0ms
(/.f64 (-.f64 z t) (-.f64 a t))

rewrite12.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64
38×add-sqr-sqrt_binary64
25×times-frac_binary64
14×add-cube-cbrt_binary64
12×distribute-lft-out--_binary64
Counts
2 → 64
Calls

2 calls:

6.0ms
(/.f64 (-.f64 z t) (-.f64 a t))
0.0ms
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)

simplify114.0ms (0.9%)

Algorithm
egg-herbie
Rules
690×cancel-sign-sub-inv_binary64
647×times-frac_binary64
542×fma-neg_binary64
354×sub-neg_binary64
188×neg-mul-1_binary64
Counts
160 → 138
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02674118
17404035
224343427
342313410
449643410

prune106.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1335138
Fresh000
Picked011
Done000
Total1336139
Error
0.0b
Counts
139 → 6
Alt Table
StatusErrorProgram
3.3b
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
9.4b
(-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 a t)) x) (/.f64 (*.f64 y t) (-.f64 a t)))
26.9b
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
2.0b
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
2.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
Compiler

Compiled 3485 to 1158 computations (66.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
0.4b
(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
1.7b
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
4.8b
(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

series775.0ms (6.3%)

Counts
4 → 168
Calls

4 calls:

485.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
199.0ms
(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
57.0ms
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
34.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite132.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
303×*-un-lft-identity_binary64
248×cbrt-prod_binary64
247×add-sqr-sqrt_binary64
205×times-frac_binary64
96×distribute-lft-out--_binary64
Counts
4 → 284
Calls

4 calls:

35.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
31.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
5.0ms
(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
0.0ms
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)

simplify347.0ms (2.8%)

Algorithm
egg-herbie
Rules
623×*-commutative_binary64
236×associate-*r*_binary64
222×associate-+r+_binary64
218×fma-def_binary64
150×associate-/l*_binary64
Counts
452 → 482
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158024416
1498624416
2500124416

prune866.0ms (7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6800680
Fresh044
Picked011
Done011
Total6806686
Error
0.0b
Counts
686 → 6
Alt Table
StatusErrorProgram
3.3b
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
9.4b
(-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 a t)) x) (/.f64 (*.f64 y t) (-.f64 a t)))
26.9b
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
2.0b
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
2.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
Compiler

Compiled 49399 to 20838 computations (57.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
4.3b
(cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))

series4.2s (33.6%)

Counts
3 → 180
Calls

3 calls:

3.5s
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
598.0ms
(cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))
41.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))

rewrite21.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
1.0ms
(cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))

simplify555.0ms (4.5%)

Algorithm
egg-herbie
Rules
968×fma-def_binary64
48×unpow1/3_binary64
log-div_binary64
log-prod_binary64
log-rec_binary64
Counts
273 → 297
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0399564620
1502264620

prune2.2s (17.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6820682
Fresh033
Picked011
Done022
Total6826688
Error
0.0b
Counts
688 → 6
Alt Table
StatusErrorProgram
3.3b
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
9.4b
(-.f64 (+.f64 (/.f64 (*.f64 y z) (-.f64 a t)) x) (/.f64 (*.f64 y t) (-.f64 a t)))
26.9b
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
2.0b
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
2.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x))) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)))
Compiler

Compiled 137048 to 72443 computations (47.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
0.0b
(/.f64 y (-.f64 a t))
8.5b
(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

series117.0ms (0.9%)

Counts
3 → 132
Calls

3 calls:

64.0ms
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
35.0ms
(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
18.0ms
(/.f64 y (-.f64 a t))

rewrite35.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt_binary64
68×*-un-lft-identity_binary64
52×add-cube-cbrt_binary64
36×prod-diff_binary64
31×times-frac_binary64
Counts
3 → 155
Calls

3 calls:

10.0ms
(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
6.0ms
(/.f64 y (-.f64 a t))
5.0ms
(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))

simplify203.0ms (1.6%)

Algorithm
egg-herbie
Rules
422×sub-neg_binary64
404×fma-neg_binary64
222×associate--l+_binary64
218×+-commutative_binary64
182×associate-*l*_binary64
Counts
287 → 308
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04436869
110786148
239776052
347076051
449946051
549426051

prune245.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3053308
Fresh112
Picked101
Done123
Total3086314
Error
0b
Counts
314 → 6
Alt Table
StatusErrorProgram
3.3b
(fma.f64 (-.f64 z t) (/.f64 y (-.f64 a t)) x)
2.0b
(fma.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
3.7b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))) (cbrt.f64 (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))) (cbrt.f64 (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))))
9.1b
(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
26.9b
(fma.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
1.7b
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 a t)) x)
Compiler

Compiled 8030 to 2049 computations (74.5% saved)

regimes1.0s (8.4%)

Accuracy

Total 1.1b remaining (99.1%)

Threshold costs 0b (0%)

Counts
110 → 2
Compiler

Compiled 20912 to 11138 computations (46.7% saved)

bsearch10.0ms (0.1%)

Steps
ItersRangePoint
3
-2.7911842825888397e+54
-1.659912984799968e+48
-1.2741771487626443e+52
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
11934
22534
32734
42834
52834

end84.0ms (0.7%)

Compiler

Compiled 200 to 94 computations (53% saved)

Profiling

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