Details

Time bar (total: 6.5s)

analyze573.0ms (8.8%)

Algorithm
1×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
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.3%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
1.0ms50×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify101.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.7b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

13.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
13.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite7.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
4×div-exp_binary64_3880 prod-exp_binary64_3878 cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
1×add-log-exp_binary64_3868 div-inv_binary64_3826 times-frac_binary64_3835 add-cube-cbrt_binary64_3864 clear-num_binary64_3828 pow1_binary64_3890 *-un-lft-identity_binary64_3829 associate-/l*_binary64_3774 associate-/r*_binary64_3773 frac-2neg_binary64_3840 add-sqr-sqrt_binary64_3851
Counts
1 → 21
Calls

2 calls:

5.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
0.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series196.0ms (3%)

Counts
1 → 12
Calls

1 calls:

196.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 168 to 168 computations (0% saved)

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05076370

prune34.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New28533
Fresh000
Picked011
Done000
Total28634
Error
0.1b
Counts
34 → 6
Compiler

Compiled 353 to 91 computations (74.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

9.3b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
9.3b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite15.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_3851
22×times-frac_binary64_3835
15×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
13×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 associate-*r*_binary64_3769 associate-*l*_binary64_3770
4×div-exp_binary64_3880 unswap-sqr_binary64_3797 prod-exp_binary64_3878 cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
3×pow1_binary64_3890
2×div-inv_binary64_3826
1×add-log-exp_binary64_3868 pow-prod-down_binary64_3900 frac-times_binary64_3839 associate-*l/_binary64_3772 associate-*r/_binary64_3771 *-commutative_binary64_3760
Counts
1 → 50
Calls

2 calls:

11.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
0.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series189.0ms (2.9%)

Counts
1 → 12
Calls

1 calls:

189.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 168 to 168 computations (0% saved)

simplify94.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04985803
14985803

prune47.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh134
Picked011
Done011
Total60868
Error
0.0b
Counts
68 → 8
Compiler

Compiled 816 to 206 computations (74.8% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.5b
(*.f64 (cbrt.f64 a1) (cbrt.f64 a1))
0.5b
(*.f64 (cbrt.f64 b1) (cbrt.f64 b1))
0.3b
(/.f64 (cbrt.f64 a1) (cbrt.f64 b1))
0.3b
(/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)))
0.6b
(cbrt.f64 a1)
0.6b
(cbrt.f64 a1)
2.7b
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
3.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))

rewrite70.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
146×add-exp-log_binary64_3867
82×add-cbrt-cube_binary64_3865
72×add-sqr-sqrt_binary64_3851
69×prod-exp_binary64_3878 cbrt-unprod_binary64_3862
59×times-frac_binary64_3835
50×cbrt-prod_binary64_3860
44×div-exp_binary64_3880 cbrt-undiv_binary64_3863
41×associate-*r*_binary64_3769
39×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
18×associate-*l*_binary64_3770
11×pow1_binary64_3890
10×unswap-sqr_binary64_3797
6×frac-times_binary64_3839 associate-*r/_binary64_3771
4×add-log-exp_binary64_3868 pow-prod-down_binary64_3900 associate-*l/_binary64_3772
3×div-inv_binary64_3826
2×pow1/3_binary64_3911 *-commutative_binary64_3760
Counts
4 → 178
Calls

8 calls:

24.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))
21.0ms
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
1.0ms
(cbrt.f64 a1)
1.0ms
(cbrt.f64 a1)
0.0ms
(/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1)))

series918.0ms (14.2%)

Counts
4 → 30
Calls

4 calls:

518.0ms
(*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1)))
249.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (/.f64 a2 b2) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))))
80.0ms
(cbrt.f64 a1)
71.0ms
(cbrt.f64 a1)
Compiler

Compiled 1060 to 832 computations (21.5% saved)

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049662984
149662984

prune153.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2080208
Fresh055
Picked011
Done022
Total2088216
Error
0.0b
Counts
216 → 8
Compiler

Compiled 4334 to 725 computations (83.3% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.6b
(cbrt.f64 a2)
0.6b
(cbrt.f64 a2)
0.5b
(*.f64 (cbrt.f64 a2) (cbrt.f64 a2))
0.3b
(/.f64 (cbrt.f64 a2) b2)
0.6b
(cbrt.f64 a2)
0.6b
(cbrt.f64 a2)
3.5b
(*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)))
5.2b
(*.f64 (*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))

rewrite41.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
57×add-exp-log_binary64_3867
40×add-cbrt-cube_binary64_3865
29×add-sqr-sqrt_binary64_3851
28×times-frac_binary64_3835 prod-exp_binary64_3878 cbrt-unprod_binary64_3862
26×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
23×associate-*r*_binary64_3769
18×pow1_binary64_3890
15×cbrt-prod_binary64_3860
14×associate-*l*_binary64_3770
11×div-exp_binary64_3880 cbrt-undiv_binary64_3863
9×pow-prod-down_binary64_3900
4×add-log-exp_binary64_3868 associate-*l/_binary64_3772
2×div-inv_binary64_3826 unswap-sqr_binary64_3797 pow1/3_binary64_3911 *-commutative_binary64_3760
1×frac-times_binary64_3839 associate-*r/_binary64_3771
Counts
4 → 114
Calls

8 calls:

18.0ms
(*.f64 (*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))
9.0ms
(*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)))
1.0ms
(cbrt.f64 a2)
1.0ms
(cbrt.f64 a2)
0.0ms
(/.f64 (cbrt.f64 a2) b2)

series712.0ms (11%)

Counts
4 → 27
Calls

4 calls:

352.0ms
(*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)))
214.0ms
(*.f64 (*.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))
78.0ms
(cbrt.f64 a2)
69.0ms
(cbrt.f64 a2)
Compiler

Compiled 644 to 590 computations (8.4% saved)

simplify65.0ms (1%)

Algorithm
1×egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049951683
149951683

prune94.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1401141
Fresh044
Picked101
Done033
Total1418149
Error
0.0b
Counts
149 → 8
Compiler

Compiled 2071 to 579 computations (72% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
070280
170280

regimes468.0ms (7.2%)

Compiler

Compiled 1608 to 1388 computations (13.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

regimes396.0ms (6.1%)

Compiler

Compiled 1508 to 1168 computations (22.5% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

regimes354.0ms (5.5%)

Compiler

Compiled 1403 to 1063 computations (24.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

regimes259.0ms (4%)

Compiler

Compiled 1175 to 835 computations (28.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

regimes234.0ms (3.6%)

Compiler

Compiled 1094 to 754 computations (31.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

regimes162.0ms (2.5%)

Accuracy

Total 1.7b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 559 to 367 computations (34.3% saved)

bsearch18.0ms (0.3%)

Compiler

Compiled 781 to 216 computations (72.3% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0108825
1108825

end0.0ms (0%)

sample1.1s (16.3%)

Algorithm
1×intervals
Results
235.0ms8000×body128valid
55.0ms1855×body128invalid
Compiler

Compiled 737 to 386 computations (47.6% saved)

Pareto

0.13775762924838228

Profiling

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