Details

Time bar (total: 5.2s)

analyze504.0ms (9.8%)

Algorithm
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)

sample23.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms16×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify152.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01310
11310

prune3.0ms (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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) z))
0.2b
(*.f64 (*.f64 y z) z)

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
add-log-exp_binary64_117
add-sqr-sqrt_binary64_100 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 associate-*r*_binary64_18 pow-prod-down_binary64_149 *-un-lft-identity_binary64_78
+-commutative_binary64_8 *-commutative_binary64_9 associate-*l*_binary64_19 flip-+_binary64_52 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 29
Calls

2 calls:

10.0ms
(*.f64 (*.f64 y z) z)
7.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

series184.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

92.0ms
(*.f64 (*.f64 y z) z)
91.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

simplify178.0ms (3.4%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (160.0ms)

IterNodesCost
04953376
14953376

prune57.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New29635
Fresh000
Picked011
Done000
Total29736

Merged error: 0.0b

Counts
36 → 7
Compiler

Compiled 453 to 145 computations (68% saved)

localize18.0ms (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))))
22.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite43.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_139
10×add-sqr-sqrt_binary64_100
pow1/3_binary64_160
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
cbrt-prod_binary64_109
add-exp-log_binary64_116
add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-log-exp_binary64_117 swap-sqr_binary64_45 associate-*r*_binary64_18
pow-sqr_binary64_51 pow-prod-up_binary64_148 pow-prod-down_binary64_149
pow2_binary64_159 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 unswap-sqr_binary64_46 pow-plus_binary64_141
Counts
4 → 58
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
7.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
7.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
7.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

series603.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

192.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
142.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
138.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
131.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

simplify235.0ms (4.6%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
05133709

prune123.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh145
Picked101
Done011
Total68977

Merged error: 0.0b

Counts
77 → 9
Compiler

Compiled 1749 to 435 computations (75.1% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
12.5b
(cbrt.f64 (*.f64 z y))
22.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.8b
(cbrt.f64 (*.f64 z (*.f64 z y)))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_109
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
Counts
4 → 38
Calls

4 calls:

7.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
7.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z y))
2.0ms
(cbrt.f64 z)

series497.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

144.0ms
(cbrt.f64 z)
128.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
115.0ms
(cbrt.f64 (*.f64 z (*.f64 z y)))
110.0ms
(cbrt.f64 (*.f64 z y))

simplify158.0ms (3.1%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
05150436

prune92.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh077
Picked011
Done011
Total491059

Merged error: 0b

Counts
59 → 10
Compiler

Compiled 1465 to 328 computations (77.6% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
12.5b
(cbrt.f64 (*.f64 z y))
12.5b
(cbrt.f64 (*.f64 z y))
22.8b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_109
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
Counts
4 → 38
Calls

4 calls:

7.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z y))
4.0ms
(cbrt.f64 (*.f64 z y))
2.0ms
(cbrt.f64 z)

series494.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

146.0ms
(cbrt.f64 z)
136.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
107.0ms
(cbrt.f64 (*.f64 z y))
105.0ms
(cbrt.f64 (*.f64 z y))

simplify94.0ms (1.8%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04952401
14952401

prune82.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh077
Picked011
Done022
Total501060

Merged error: 0b

Counts
60 → 10
Compiler

Compiled 1355 to 266 computations (80.4% saved)

regimes260.0ms (5%)

Compiler

Compiled 1395 to 865 computations (38% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample1.2s (23.5%)

Algorithm
intervals
Results
368.0ms8000×body128valid
28.0ms641×body128invalid
Compiler

Compiled 288 to 181 computations (37.2% saved)

Profiling

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