Details

Time bar (total: 8.9s)

analyze2.2s (24.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14
Compiler

Compiled 32 to 30 computations (6.3% saved)

sample79.0ms (0.9%)

Algorithm
1×intervals
Results
23.0ms285×body128invalid
21.0ms256×body128valid
Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify520.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (418.0ms)

IterNodesCost
0306443
1306443

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
6.6b
Counts
2 → 1
Compiler

Compiled 58 to 56 computations (3.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x 18) y)
0.2b
(*.f64 (*.f64 j 27) k)
4.1b
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
4.8b
(*.f64 (*.f64 (*.f64 x 18) y) z)

rewrite42.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
25×pow1_binary64_19576 add-cbrt-cube_binary64_19551 add-exp-log_binary64_19553
13×cbrt-unprod_binary64_19548 prod-exp_binary64_19564 pow-prod-down_binary64_19586
12×associate-*r*_binary64_19455
11×add-sqr-sqrt_binary64_19537
9×add-cube-cbrt_binary64_19550 *-un-lft-identity_binary64_19515
6×associate-*l*_binary64_19456
4×add-log-exp_binary64_19554 *-commutative_binary64_19446
2×associate-*r/_binary64_19457 distribute-rgt-in_binary64_19465 cancel-sign-sub-inv_binary64_19481 sub-neg_binary64_19508 distribute-lft-in_binary64_19464
1×flip3--_binary64_19519 flip--_binary64_19490 unswap-sqr_binary64_19483
Counts
4 → 81
Calls

4 calls:

16.0ms
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
8.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
6.0ms
(*.f64 (*.f64 j 27) k)
5.0ms
(*.f64 (*.f64 x 18) y)

series175.0ms (2%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
27.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
19.0ms
(*.f64 (*.f64 j 27) k)
15.0ms
(*.f64 (*.f64 x 18) y)

simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
051581201

prune164.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New831093
Fresh000
Picked101
Done000
Total841094
Error
2.7b
Counts
94 → 10
Compiler

Compiled 3425 to 2186 computations (36.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 j (*.f64 27 k))
0.2b
(*.f64 (*.f64 x 18) y)
4.1b
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
4.8b
(*.f64 (*.f64 (*.f64 x 18) y) z)

rewrite38.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
25×pow1_binary64_19576 add-cbrt-cube_binary64_19551 add-exp-log_binary64_19553
13×cbrt-unprod_binary64_19548 prod-exp_binary64_19564 pow-prod-down_binary64_19586
11×add-sqr-sqrt_binary64_19537
10×associate-*r*_binary64_19455
9×add-cube-cbrt_binary64_19550 *-un-lft-identity_binary64_19515
8×associate-*l*_binary64_19456
4×add-log-exp_binary64_19554 *-commutative_binary64_19446
2×associate-*r/_binary64_19457 distribute-rgt-in_binary64_19465 cancel-sign-sub-inv_binary64_19481 sub-neg_binary64_19508 distribute-lft-in_binary64_19464
1×flip3--_binary64_19519 flip--_binary64_19490 unswap-sqr_binary64_19483
Counts
4 → 81
Calls

4 calls:

13.0ms
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
7.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
5.0ms
(*.f64 (*.f64 x 18) y)
5.0ms
(*.f64 j (*.f64 27 k))

series171.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

112.0ms
(*.f64 t (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (*.f64 a 4)))
27.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
18.0ms
(*.f64 (*.f64 x 18) y)
14.0ms
(*.f64 j (*.f64 27 k))

simplify62.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050491199

prune144.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh279
Picked101
Done000
Total949103
Error
2.7b
Counts
103 → 9
Compiler

Compiled 3398 to 2160 computations (36.4% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b
(*.f64 (*.f64 (*.f64 x 18) y) z)
16.4b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
16.4b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
16.4b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))

rewrite28.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_19576 add-cbrt-cube_binary64_19551 add-exp-log_binary64_19553
6×cbrt-unprod_binary64_19548 prod-exp_binary64_19564 pow-prod-down_binary64_19586
5×add-cube-cbrt_binary64_19550 add-sqr-sqrt_binary64_19537 *-un-lft-identity_binary64_19515
4×add-log-exp_binary64_19554
3×pow1/3_binary64_19597 cbrt-prod_binary64_19546 associate-*r*_binary64_19455
1×associate-*l*_binary64_19456 *-commutative_binary64_19446
Counts
4 → 48
Calls

4 calls:

7.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
5.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
5.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
5.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))

series345.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

110.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
106.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
103.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))
26.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)

simplify90.0ms (1%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04969776
14969776

prune140.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh088
Picked011
Done000
Total60969
Error
2.7b
Counts
69 → 9
Compiler

Compiled 3369 to 2217 computations (34.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b
(*.f64 (*.f64 (*.f64 x 18) y) z)
8.2b
(cbrt.f64 (*.f64 (*.f64 j 27) k))
8.2b
(cbrt.f64 (*.f64 (*.f64 j 27) k))
8.2b
(cbrt.f64 (*.f64 (*.f64 j 27) k))

rewrite25.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_19576 add-cbrt-cube_binary64_19551 add-exp-log_binary64_19553
6×cbrt-unprod_binary64_19548 prod-exp_binary64_19564 pow-prod-down_binary64_19586
5×add-cube-cbrt_binary64_19550 add-sqr-sqrt_binary64_19537 *-un-lft-identity_binary64_19515
4×add-log-exp_binary64_19554
3×pow1/3_binary64_19597 cbrt-prod_binary64_19546 associate-*r*_binary64_19455
1×associate-*l*_binary64_19456 *-commutative_binary64_19446
Counts
4 → 48
Calls

4 calls:

6.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
4.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
4.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))

series226.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

69.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
66.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
63.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
28.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04898631
14898631

prune115.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh077
Picked011
Done011
Total60969
Error
2.7b
Counts
69 → 9
Compiler

Compiled 2814 to 1810 computations (35.7% saved)

regimes1.2s (13.2%)

Accuracy

Total 1.7b remaining (41.8%)

Threshold costs 0b (0%)

Compiler

Compiled 13178 to 12528 computations (4.9% saved)

bsearch2.0ms (0%)

Compiler

Compiled 25 to 25 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0271213
1271213

end0.0ms (0%)

sample3.0s (33.4%)

Algorithm
1×intervals
Results
704.0ms8407×body128invalid
677.0ms8000×body128valid
Compiler

Compiled 999 to 871 computations (12.8% saved)

Profiling

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