Details

Time bar (total: 1.8s)

analyze330.0ms (18.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample16.0ms (0.9%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms18×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify20.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
71×cancel-sign-sub-inv_binary64
55×distribute-rgt-in_binary64
45×sub-neg_binary64
43×unsub-neg_binary64
33×associate--r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
22210
34110
46510
510410
615910
726410
833010
934410
1034410
1130110

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
0.0b
(*.f64 (-.f64 y x) z)

rewrite31.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
5×associate-*l*_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 (-.f64 y x) z)
3.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 446 to 125 computations (72% saved)

series61.0ms (3.5%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

28.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
22.0ms
(*.f64 (-.f64 y x) z)
Compiler

Compiled 613 to 356 computations (41.9% saved)

simplify52.0ms (3%)

Algorithm
1×egg-herbie
Rules
589×associate-+l+_binary64
544×associate-+r+_binary64
253×associate-*l*_binary64
244×distribute-rgt-in_binary64
240×distribute-rgt-neg-out_binary64
Counts
66 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080724
1209634
2561634
31719634
45323634

prune18.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New49150
Fresh000
Picked011
Done000
Total49251
Error
0.0b
Counts
51 → 2
Alt Table
StatusErrorProgram
▶0.8b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x)))) (cbrt.f64 (*.f64 z (-.f64 y x)))))
✓0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 404 to 128 computations (68.3% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
4.2b
(cbrt.f64 (*.f64 z (-.f64 y x)))
4.2b
(cbrt.f64 (*.f64 z (-.f64 y x)))
4.2b
(cbrt.f64 (*.f64 z (-.f64 y x)))

rewrite73.0ms (4.2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
20×associate-*r/_binary64
18×cbrt-div_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
9×flip--_binary64
Counts
4 → 72
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
5.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
5.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
4.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
Compiler

Compiled 2067 to 359 computations (82.6% saved)

series385.0ms (21.9%)

Error
0.0b
Counts
4 → 61
Calls

4 calls:

129.0ms
(*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
67.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
66.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
66.0ms
(cbrt.f64 (*.f64 z (-.f64 y x)))
Compiler

Compiled 6347 to 3934 computations (38% saved)

simplify92.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
575×associate-*r*_binary64
534×associate-*l*_binary64
198×associate-/l*_binary64
177×times-frac_binary64
135×distribute-rgt-neg-in_binary64
Counts
133 → 97
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02203169
15592987
214082792
350482792

prune60.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done011
Total97299
Error
0.0b
Counts
99 → 2
Alt Table
StatusErrorProgram
0.8b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x)))) (cbrt.f64 (*.f64 z (-.f64 y x)))))
0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 2484 to 844 computations (66% saved)

regimes72.0ms (4.1%)

Accuracy

Total 0.0b remaining (11.1%)

Threshold costs 0.0b (11.1%)

Compiler

Compiled 744 to 398 computations (46.5% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
31810
41910
51910

end1.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

sample527.0ms (30%)

Algorithm
1×intervals
Results
192.0ms8000×body128valid
12.0ms534×body128invalid
Compiler

Compiled 59 to 31 computations (47.5% saved)

Profiling

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