Details

Time bar (total: 8.8s)

analyze2.1s (24.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample46.0ms (0.5%)

Algorithm
intervals
Results
18.0ms256×body128valid
7.0ms101×body128invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify174.0ms (2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
078825
178825

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 (*.f64 y 9) z)
3.8b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite35.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube_binary64_20915 add-exp-log_binary64_20917 pow1_binary64_20940
12×pow-prod-down_binary64_20950 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
associate-*r*_binary64_20819 add-log-exp_binary64_20918
add-sqr-sqrt_binary64_20901 add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879
associate-*l*_binary64_20820 *-commutative_binary64_20810
sum-log_binary64_20970 associate-+l+_binary64_20812
+-commutative_binary64_20809 associate-+l-_binary64_20814 flip3-+_binary64_20882 cancel-sign-sub-inv_binary64_20845 sub-neg_binary64_20872 diff-log_binary64_20971 flip-+_binary64_20853
Counts
4 → 72
Calls

4 calls:

9.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 (*.f64 a 27) b)

series243.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

157.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
41.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
24.0ms
(*.f64 (*.f64 y 9) z)
21.0ms
(*.f64 (*.f64 a 27) b)

simplify108.0ms (1.2%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049781170
149781170

prune123.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New75984
Fresh000
Picked101
Done000
Total76985

Merged error: 0.0b

Counts
85 → 9
Compiler

Compiled 1982 to 1317 computations (33.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 y (*.f64 9 z))
0.2b
(*.f64 (*.f64 a 27) b)
3.8b
(*.f64 (*.f64 y (*.f64 9 z)) t)

rewrite30.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube_binary64_20915 add-exp-log_binary64_20917 pow1_binary64_20940
12×pow-prod-down_binary64_20950 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
add-log-exp_binary64_20918
add-sqr-sqrt_binary64_20901 add-cube-cbrt_binary64_20914 associate-*r*_binary64_20819 *-un-lft-identity_binary64_20879
associate-*l*_binary64_20820
*-commutative_binary64_20810
sum-log_binary64_20970 associate-+l+_binary64_20812
+-commutative_binary64_20809 associate-+l-_binary64_20814 flip3-+_binary64_20882 cancel-sign-sub-inv_binary64_20845 sub-neg_binary64_20872 diff-log_binary64_20971 flip-+_binary64_20853
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
5.0ms
(*.f64 y (*.f64 9 z))
5.0ms
(*.f64 (*.f64 a 27) b)

series224.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

148.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
28.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
25.0ms
(*.f64 y (*.f64 9 z))
22.0ms
(*.f64 (*.f64 a 27) b)

simplify121.0ms (1.4%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
049761171
149761171

prune121.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh088
Picked011
Done000
Total831093

Merged error: 0.0b

Counts
93 → 10
Compiler

Compiled 1984 to 1319 computations (33.5% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 t)
0.5b
(cbrt.f64 t)
1.2b
(*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
2.8b
(*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite40.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
54×add-exp-log_binary64_20917 pow1_binary64_20940
37×pow-prod-down_binary64_20950 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
35×add-cbrt-cube_binary64_20915
cbrt-prod_binary64_20910
add-sqr-sqrt_binary64_20901 add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879
associate-*r*_binary64_20819
add-log-exp_binary64_20918
associate-*l*_binary64_20820 pow1/3_binary64_20961 *-commutative_binary64_20810
Counts
4 → 86
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
12.0ms
(*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series400.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

125.0ms
(*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
102.0ms
(*.f64 (*.f64 (*.f64 (*.f64 y 9) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
93.0ms
(cbrt.f64 t)
79.0ms
(cbrt.f64 t)

simplify105.0ms (1.2%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049621108
149621108

prune130.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh178
Picked101
Done011
Total999108

Merged error: 0.0b

Counts
108 → 9
Compiler

Compiled 2576 to 1596 computations (38% saved)

localize17.0ms (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)
3.8b
(*.f64 (*.f64 (*.f64 (*.f64 y 9) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) t)

rewrite29.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
29×add-exp-log_binary64_20917 pow1_binary64_20940
20×add-cbrt-cube_binary64_20915
19×pow-prod-down_binary64_20950 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
cbrt-prod_binary64_20910
add-sqr-sqrt_binary64_20901 add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879
add-log-exp_binary64_20918
associate-*r*_binary64_20819 pow1/3_binary64_20961
associate-*l*_binary64_20820 *-commutative_binary64_20810
Counts
4 → 63
Calls

4 calls:

19.0ms
(*.f64 (*.f64 (*.f64 (*.f64 y 9) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) t)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series337.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

100.0ms
(cbrt.f64 z)
94.0ms
(cbrt.f64 z)
85.0ms
(cbrt.f64 z)
58.0ms
(*.f64 (*.f64 (*.f64 (*.f64 y 9) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) t)

simplify102.0ms (1.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04996627
14996627

prune79.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done011
Total75984

Merged error: 0.0b

Counts
84 → 9
Compiler

Compiled 1816 to 1040 computations (42.7% saved)

regimes1.3s (14.6%)

Compiler

Compiled 9905 to 8833 computations (10.8% saved)

bsearch3.0ms (0%)

Compiler

Compiled 5 to 9 computations (-80% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013476
113476

end0.0ms (0%)

sample2.9s (32.3%)

Algorithm
intervals
Results
741.0ms8000×body128valid
275.0ms2967×body128invalid
Compiler

Compiled 697 to 614 computations (11.9% saved)

Profiling

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