Details

Time bar (total: 2.8s)

analyze258.0ms (9.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify160.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01310
11310

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 y z) z)

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
3×cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150 associate-*r*_binary64_19
2×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 *-un-lft-identity_binary64_79
1×associate-*l*_binary64_20 *-commutative_binary64_10 add-log-exp_binary64_118
Counts
1 → 18
Calls

1 calls:

6.0ms
(*.f64 (*.f64 y z) z)

series49.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(*.f64 (*.f64 y z) z)

simplify63.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04935177
14935177

prune31.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.0b

Counts
22 → 5
Compiler

Compiled 496 to 248 computations (50% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
21.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
21.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
21.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite27.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
11×pow1_binary64_140
10×add-sqr-sqrt_binary64_101
9×pow1/3_binary64_161
8×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
7×cbrt-prod_binary64_110
6×add-exp-log_binary64_117
4×associate-*l*_binary64_20 add-cbrt-cube_binary64_115 add-log-exp_binary64_118 swap-sqr_binary64_46 associate-*r*_binary64_19
2×pow-prod-up_binary64_149 pow-sqr_binary64_52 pow-prod-down_binary64_150
1×unswap-sqr_binary64_47 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-plus_binary64_142 pow2_binary64_160
Counts
4 → 58
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

series606.0ms (21.9%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
145.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
143.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
137.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

simplify67.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05008718

prune71.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh033
Picked011
Done011
Total69675

Merged error: 0.0b

Counts
75 → 6
Compiler

Compiled 1826 to 511 computations (72% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
9.5b
(cbrt.f64 (*.f64 z y))
21.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
21.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
6×cbrt-prod_binary64_110
5×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 *-un-lft-identity_binary64_79
4×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 add-log-exp_binary64_118 pow1/3_binary64_161 pow1_binary64_140
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
2.0ms
(cbrt.f64 (*.f64 z y))
1.0ms
(cbrt.f64 z)

series530.0ms (19.1%)

Counts
4 → 12
Calls

4 calls:

153.0ms
(cbrt.f64 z)
138.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
135.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
103.0ms
(cbrt.f64 (*.f64 z y))

simplify65.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
06063433

prune44.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh033
Picked011
Done022
Total50656

Merged error: 0.0b

Counts
56 → 6
Compiler

Compiled 1334 to 251 computations (81.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.4b
(*.f64 y (*.f64 z z))

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
3×associate-*l*_binary64_20 add-sqr-sqrt_binary64_101 cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
2×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
1×unswap-sqr_binary64_47 *-commutative_binary64_10 add-log-exp_binary64_118 associate-*r*_binary64_19
Counts
1 → 19
Calls

1 calls:

6.0ms
(*.f64 y (*.f64 z z))

series45.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

45.0ms
(*.f64 y (*.f64 z z))

simplify74.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04973189
14973189

prune27.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New21122
Fresh022
Picked101
Done033
Total22628

Merged error: 0.0b

Counts
28 → 6
Compiler

Compiled 402 to 183 computations (54.5% saved)

regimes69.0ms (2.5%)

Compiler

Compiled 460 to 315 computations (31.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample502.0ms (18.1%)

Algorithm
1×intervals
Results
191.0ms8000×body128valid
18.0ms658×body128invalid
Compiler

Compiled 101 to 71 computations (29.7% saved)

Profiling

Loading profile data...