Details

Time bar (total: 3.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 5 to 4 computations (20% saved)

sample77.0ms (2.2%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify91.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
156

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 8 to 6 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (log.f64 x))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64_100
6×log-prod_binary64_164
5×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×associate-*r*_binary64_18 pow1_binary64_139
3×add-cbrt-cube_binary64_114 distribute-lft-in_binary64_27 associate-*l*_binary64_19 distribute-rgt-in_binary64_28 add-exp-log_binary64_116
1×*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 unswap-sqr_binary64_46 log-pow_binary64_167
Counts
1 → 25
Calls

1 calls:

5.0ms
(*.f64 x (log.f64 x))

series77.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

76.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify105.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04855269
14855269

prune23.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729

Merged error: 0.0b

Counts
29 → 7
Compiler

Compiled 299 to 106 computations (64.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite22.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-+r+_binary64_10 log-prod_binary64_164 cbrt-prod_binary64_109
11×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
9×add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
6×distribute-lft-in_binary64_27 add-log-exp_binary64_117 distribute-rgt-in_binary64_28
3×associate-*l*_binary64_19 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
2×pow1/3_binary64_160
1×+-commutative_binary64_8 *-commutative_binary64_9 flip-+_binary64_52 associate-*r*_binary64_18 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
4 → 64
Calls

4 calls:

10.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series595.0ms (17.5%)

Counts
4 → 12
Calls

4 calls:

201.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
198.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
101.0ms
(cbrt.f64 x)
95.0ms
(cbrt.f64 x)
Compiler

Compiled 348 to 288 computations (17.2% saved)

simplify51.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05261762

prune68.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh145
Picked101
Done011
Total75883

Merged error: 0.0b

Counts
83 → 8
Compiler

Compiled 1227 to 522 computations (57.5% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.6b
(cbrt.f64 x)
5.0b
(pow.f64 x 1/3)

rewrite25.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
28×log-prod_binary64_164
19×add-sqr-sqrt_binary64_100
17×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
15×unpow-prod-down_binary64_157
14×distribute-lft-in_binary64_27 associate-+r+_binary64_10 distribute-rgt-in_binary64_28
7×add-exp-log_binary64_116 pow1_binary64_139
6×add-cbrt-cube_binary64_114 add-log-exp_binary64_117
5×sqr-pow_binary64_50
4×associate-*r*_binary64_18
3×associate-*l*_binary64_19 cbrt-prod_binary64_109 pow-unpow_binary64_155
1×+-commutative_binary64_8 *-commutative_binary64_9 pow-exp_binary64_146 pow-to-exp_binary64_147 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 pow1/3_binary64_160 pow-pow_binary64_150 pow-prod-down_binary64_149 unswap-sqr_binary64_46 unpow1/3_binary64_145 distribute-lft-out_binary64_29 log-pow_binary64_167 sum-log_binary64_169 flip3-+_binary64_81
Counts
4 → 88
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
5.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
2.0ms
(pow.f64 x 1/3)
1.0ms
(cbrt.f64 x)

series602.0ms (17.7%)

Counts
4 → 12
Calls

4 calls:

243.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
176.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
93.0ms
(cbrt.f64 x)
89.0ms
(pow.f64 x 1/3)
Compiler

Compiled 382 to 320 computations (16.2% saved)

simplify106.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04892961
14892961

prune86.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh156
Picked011
Done011
Total1008108

Merged error: 0b

Counts
108 → 8
Compiler

Compiled 1680 to 857 computations (49% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-prod_binary64_109
9×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
Counts
4 → 47
Calls

4 calls:

2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series563.0ms (16.5%)

Counts
4 → 12
Calls

4 calls:

245.0ms
(cbrt.f64 x)
124.0ms
(cbrt.f64 (cbrt.f64 x))
105.0ms
(cbrt.f64 x)
89.0ms
(cbrt.f64 x)
Compiler

Compiled 534 to 402 computations (24.7% saved)

simplify51.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
06011392

prune55.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done022
Total59867

Merged error: 0b

Counts
67 → 8
Compiler

Compiled 1311 to 498 computations (62% saved)

regimes73.0ms (2.1%)

Compiler

Compiled 540 to 338 computations (37.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample671.0ms (19.7%)

Algorithm
1×intervals
Results
235.0ms8000×body128valid
0.0ms1×body128nan
Compiler

Compiled 274 to 173 computations (36.9% saved)

Profiling

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