Details

Time bar (total: 3.2s)

analyze742.0ms (22.9%)

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
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
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
1.0ms42×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify267.0ms (8.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (174.0ms)

IterNodesCost
043677
143677

prune9.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
7.1b
Counts
2 → 1
Compiler

Compiled 10 to 12 computations (-20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_15786
13×associate-*r*_binary64_15704
10×times-frac_binary64_15770
9×add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
6×add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
3×associate-*l*_binary64_15705 pow1_binary64_15825
2×cbrt-unprod_binary64_15797 prod-exp_binary64_15813 unswap-sqr_binary64_15732
1×add-log-exp_binary64_15803 cbrt-undiv_binary64_15798 associate-*r/_binary64_15706 div-inv_binary64_15761 *-commutative_binary64_15695 pow-prod-down_binary64_15835 div-exp_binary64_15815
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 x (/.f64 y z))

series19.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(*.f64 x (/.f64 y z))

simplify90.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04985348
14985348

prune33.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New29635
Fresh000
Picked011
Done000
Total29736
Error
0.0b
Counts
36 → 7
Compiler

Compiled 392 to 136 computations (65.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.2b
(/.f64 (*.f64 x y) z)

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
3×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 times-frac_binary64_15770 associate-/r*_binary64_15708 *-un-lft-identity_binary64_15764
2×cbrt-undiv_binary64_15798 div-exp_binary64_15815
1×add-log-exp_binary64_15803 div-inv_binary64_15761 cbrt-unprod_binary64_15797 frac-2neg_binary64_15775 prod-exp_binary64_15813 clear-num_binary64_15763 associate-/l*_binary64_15709 pow1_binary64_15825
Counts
1 → 21
Calls

1 calls:

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

series20.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(/.f64 (*.f64 x y) z)

simplify105.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04671219
14671219

prune16.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22224
Fresh235
Picked011
Done011
Total24731
Error
0.0b
Counts
31 → 7
Compiler

Compiled 234 to 93 computations (60.3% saved)

localize7.0ms (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)
5.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite28.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_15786
28×times-frac_binary64_15770
25×add-exp-log_binary64_15802
22×add-cube-cbrt_binary64_15799 associate-*r*_binary64_15704 *-un-lft-identity_binary64_15764
20×cbrt-prod_binary64_15795
18×add-cbrt-cube_binary64_15800
8×cbrt-unprod_binary64_15797 prod-exp_binary64_15813
7×cbrt-undiv_binary64_15798 associate-*l*_binary64_15705 div-exp_binary64_15815
6×unswap-sqr_binary64_15732 pow1_binary64_15825
4×add-log-exp_binary64_15803
3×pow1/3_binary64_15846
2×div-inv_binary64_15761
1×associate-*l/_binary64_15707 associate-*r/_binary64_15706 frac-times_binary64_15774 *-commutative_binary64_15695 pow-prod-down_binary64_15835
Counts
4 → 92
Calls

4 calls:

15.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series300.0ms (9.3%)

Counts
4 → 12
Calls

4 calls:

82.0ms
(cbrt.f64 z)
81.0ms
(cbrt.f64 z)
77.0ms
(cbrt.f64 z)
59.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

simplify84.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049531221
149531221

prune78.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh134
Picked101
Done112
Total1065111
Error
0b
Counts
111 → 5
Compiler

Compiled 1550 to 481 computations (69% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.3b
(*.f64 y (/.f64 x z))

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_15786
13×associate-*r*_binary64_15704
10×times-frac_binary64_15770
9×add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
6×add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
3×associate-*l*_binary64_15705 pow1_binary64_15825
2×cbrt-unprod_binary64_15797 prod-exp_binary64_15813 unswap-sqr_binary64_15732
1×add-log-exp_binary64_15803 cbrt-undiv_binary64_15798 associate-*r/_binary64_15706 div-inv_binary64_15761 *-commutative_binary64_15695 pow-prod-down_binary64_15835 div-exp_binary64_15815
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 y (/.f64 x z))

series22.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

22.0ms
(*.f64 y (/.f64 x z))

simplify90.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
05386348

prune17.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done011
Total35540
Error
0b
Counts
40 → 5
Compiler

Compiled 341 to 89 computations (73.9% saved)

regimes354.0ms (10.9%)

Accuracy

Total 0.5b remaining (99.4%)

Threshold costs 0.5b (99.4%)

Compiler

Compiled 1753 to 1439 computations (17.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03374
13374

end0.0ms (0%)

sample900.0ms (27.8%)

Algorithm
1×intervals
Results
276.0ms8000×body128valid
58.0ms1509×body128invalid
Compiler

Compiled 353 to 246 computations (30.3% saved)

Profiling

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