Details

Time bar (total: 5.8s)

analyze43.0ms (0.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample53.0ms (0.9%)

Algorithm
intervals
Results
24.0ms68×body1024valid
8.0ms125×body128valid
6.0ms35×body512valid
3.0ms23×body256valid
2.0msbody2048valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43011
54711
67211
79211
810911
911911
1012311
1112511
1211111

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
32.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.7b
(cbrt.f64 x)
3.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite37.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
67×cbrt-prod_binary64
58×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
42×prod-diff_binary64
35×add-cube-cbrt_binary64
Counts
3 → 104
Calls

3 calls:

17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
4.0ms
(cbrt.f64 (+.f64 x 1))
1.0ms
(cbrt.f64 x)

series491.0ms (8.4%)

Counts
3 → 36
Calls

3 calls:

459.0ms
(cbrt.f64 x)
22.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms
(cbrt.f64 (+.f64 x 1))

simplify232.0ms (4%)

Algorithm
egg-herbie
Rules
959×fma-neg_binary64
417×associate-/r*_binary64
348×times-frac_binary64
258×cancel-sign-sub-inv_binary64
133×associate--l+_binary64
Counts
140 → 257
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02003526
14552550
213362116
339572052
448882052
548142052

prune390.0ms (6.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2489257
Fresh000
Picked101
Done000
Total2499258
Error
8.4b
Counts
258 → 9
Alt Table
StatusErrorProgram
33.3b
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
32.1b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
32.4b
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
32.4b
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))))
46.6b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
32.5b
(+.f64 (fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))))))
32.4b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
32.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
32.4b
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
Compiler

Compiled 4126 to 2387 computations (42.1% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 1 x))
0.3b
(cbrt.f64 (+.f64 1 x))
0.7b
(cbrt.f64 x)
3.1b
(pow.f64 x 2/3)

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
Counts
2 → 35
Calls

2 calls:

6.0ms
(cbrt.f64 (+.f64 1 x))
3.0ms
(pow.f64 x 2/3)

series503.0ms (8.6%)

Counts
2 → 24
Calls

2 calls:

493.0ms
(pow.f64 x 2/3)
9.0ms
(cbrt.f64 (+.f64 1 x))

simplify108.0ms (1.9%)

Algorithm
egg-herbie
Rules
764×fma-neg_binary64
607×associate-/l*_binary64
310×cancel-sign-sub-inv_binary64
264×fma-def_binary64
181×associate-/l/_binary64
Counts
59 → 106
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0114695
1265684
2647570
31951511
44834511
55145511

prune278.0ms (4.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1945199
Fresh628
Picked101
Done000
Total2017208
Error
0.4b
Counts
208 → 7
Alt Table
StatusErrorProgram
17.0b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
46.6b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.9b
(/.f64 1 (+.f64 (exp.f64 (log.f64 (pow.f64 x 2/3))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.4b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
33.3b
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
32.0b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
Compiler

Compiled 3915 to 2920 computations (25.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×cbrt-prod_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
pow1_binary64
Counts
1 → 42
Calls

1 calls:

8.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

series441.0ms (7.5%)

Counts
1 → 12
Calls

1 calls:

441.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify118.0ms (2%)

Algorithm
egg-herbie
Rules
451×log-prod_binary64
315×log-div_binary64
306×*-commutative_binary64
259×associate-*r/_binary64
257×associate-/l*_binary64
Counts
54 → 102
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050493
185461
2201425
3482411
4931333
51343333
63411333
74917333
84871333

prune287.0ms (4.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New6697676
Fresh156
Picked011
Done000
Total67013683
Error
0.2b
Counts
683 → 13
Alt Table
StatusErrorProgram
31.1b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
17.0b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
46.6b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
0.7b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.2b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
33.3b
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.9b
(/.f64 1 (+.f64 (exp.f64 (log.f64 (pow.f64 x 2/3))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.4b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.1b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
Compiler

Compiled 3248 to 1894 computations (41.7% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify169.0ms (2.9%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune322.0ms (5.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New983649840
Fresh2911
Picked011
Done011
Total9838159853
Error
0.2b
Counts
9853 → 15
Alt Table
StatusErrorProgram
31.1b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
17.0b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
46.6b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
33.7b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
31.4b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 x (sqrt.f64 2/3)) (sqrt.f64 2/3)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/3))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
31.2b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
33.3b
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
0.7b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.9b
(/.f64 1 (+.f64 (exp.f64 (log.f64 (pow.f64 x 2/3))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.4b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x))))))
Compiler

Compiled 2714 to 1297 computations (52.2% saved)

regimes584.0ms (10%)

Accuracy

Total 0.3b remaining (57.7%)

Threshold costs 0.3b (57.7%)

Compiler

Compiled 7657 to 5072 computations (33.8% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
11732
21632

end1.0ms (0%)

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.7s (28.3%)

Algorithm
intervals
Results
437.0ms2008×body1024valid
239.0ms4300×body128valid
166.0ms969×body512valid
63.0ms223×body2048valid
55.0ms500×body256valid
Compiler

Compiled 459 to 296 computations (35.5% saved)

Profiling

Loading profile data...