Details

Time bar (total: 7.5s)

analyze1.2s (15.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514149
044
144
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
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14
Symmetry

(sort x y)

Compiler

Compiled 10 to 9 computations (10% saved)

sample31.0ms (0.4%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
2.0ms48×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify179.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (174.0ms)

IterNodesCost
043677
143677

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 2
Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.9b
(*.f64 x (/.f64 y z))

rewrite59.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_14763
13×associate-*r*_binary64_14681
10×times-frac_binary64_14747
9×add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
6×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
3×pow1_binary64_14802 associate-*l*_binary64_14682
2×prod-exp_binary64_14790 cbrt-unprod_binary64_14774 unswap-sqr_binary64_14709
1×pow-prod-down_binary64_14812 div-exp_binary64_14792 add-log-exp_binary64_14780 cbrt-undiv_binary64_14775 associate-*r/_binary64_14683 div-inv_binary64_14738 *-commutative_binary64_14672
Counts
1 → 32
Calls

1 calls:

13.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 359 to 117 computations (67.4% saved)

series159.0ms (2.1%)

Error
0.1b
Counts
1 → 9
Calls

1 calls:

156.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 95 to 114 computations (-20% saved)

simplify91.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04985390
14985390

prune53.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New33841
Fresh011
Picked101
Done000
Total34943
Error
0.0b
Counts
43 → 9
Compiler

Compiled 389 to 158 computations (59.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.9b
(/.f64 (*.f64 x y) z)

rewrite41.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
3×add-cube-cbrt_binary64_14776 add-sqr-sqrt_binary64_14763 times-frac_binary64_14747 *-un-lft-identity_binary64_14741 associate-/r*_binary64_14685
2×div-exp_binary64_14792 cbrt-undiv_binary64_14775
1×pow1_binary64_14802 prod-exp_binary64_14790 add-log-exp_binary64_14780 cbrt-unprod_binary64_14774 frac-2neg_binary64_14752 clear-num_binary64_14740 div-inv_binary64_14738 associate-/l*_binary64_14686
Counts
1 → 21
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 214 to 75 computations (65% saved)

series155.0ms (2.1%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

153.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 95 to 114 computations (-20% saved)

simplify111.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04671261
14671261

prune31.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh358
Picked011
Done000
Total30939
Error
0.0b
Counts
39 → 9
Compiler

Compiled 221 to 112 computations (49.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.7b
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
4.0b
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite150.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
27×add-exp-log_binary64_14779
19×add-cbrt-cube_binary64_14777
17×add-sqr-sqrt_binary64_14763
13×add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
12×cbrt-prod_binary64_14772
10×times-frac_binary64_14747
8×prod-exp_binary64_14790 div-exp_binary64_14792 cbrt-unprod_binary64_14774 cbrt-undiv_binary64_14775
7×associate-*r*_binary64_14681
6×pow1_binary64_14802 associate-/r*_binary64_14685
4×add-log-exp_binary64_14780
3×associate-*l*_binary64_14682
2×unswap-sqr_binary64_14709 associate-*r/_binary64_14683 div-inv_binary64_14738 pow1/3_binary64_14823
1×pow-prod-down_binary64_14812 *-commutative_binary64_14672 frac-2neg_binary64_14752 clear-num_binary64_14740 associate-/l/_binary64_14688 associate-/l*_binary64_14686
Counts
4 → 82
Calls

4 calls:

10.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1489 to 291 computations (80.5% saved)

series1.1s (14.7%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

652.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
201.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
123.0ms
(cbrt.f64 z)
115.0ms
(cbrt.f64 z)
Compiler

Compiled 654 to 603 computations (7.8% saved)

simplify71.0ms (1%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049591115
149591115

prune113.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1033106
Fresh257
Picked011
Done011
Total10510115
Error
0b
Counts
115 → 10
Compiler

Compiled 1104 to 438 computations (60.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.7b
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z))) (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (cbrt.f64 z))

rewrite153.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
46×add-exp-log_binary64_14779
21×add-cbrt-cube_binary64_14777
17×div-exp_binary64_14792 cbrt-undiv_binary64_14775
16×prod-exp_binary64_14790 cbrt-unprod_binary64_14774
15×cbrt-prod_binary64_14772
11×add-cube-cbrt_binary64_14776 add-sqr-sqrt_binary64_14763 *-un-lft-identity_binary64_14741
6×times-frac_binary64_14747 associate-/r*_binary64_14685
4×pow1_binary64_14802 add-log-exp_binary64_14780
3×associate-*r/_binary64_14683 associate-/l/_binary64_14688 pow1/3_binary64_14823
1×frac-2neg_binary64_14752 clear-num_binary64_14740 div-inv_binary64_14738 frac-times_binary64_14751 associate-*l/_binary64_14684 associate-/l*_binary64_14686
Counts
4 → 77
Calls

4 calls:

20.0ms
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z))) (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 2030 to 298 computations (85.3% saved)

series623.0ms (8.3%)

Error
0b
Counts
4 → 18
Calls

4 calls:

239.0ms
(/.f64 (*.f64 (*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 z))) (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (cbrt.f64 z))
128.0ms
(cbrt.f64 z)
121.0ms
(cbrt.f64 z)
120.0ms
(cbrt.f64 z)
Compiler

Compiled 672 to 491 computations (26.9% saved)

simplify85.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049831020
149831020

prune96.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh167
Picked011
Done022
Total9510105
Error
0b
Counts
105 → 10
Compiler

Compiled 1261 to 295 computations (76.6% saved)

regimes1.8s (23.5%)

Accuracy

Total 2.0b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 13131 to 10486 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end9.0ms (0.1%)

Compiler

Compiled 57 to 36 computations (36.8% saved)

sample1.2s (15.9%)

Algorithm
1×intervals
Results
291.0ms8000×body128valid
60.0ms1553×body128invalid
Compiler

Compiled 193 to 142 computations (26.4% saved)

Profiling

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