Details

Time bar (total: 4.7s)

analyze458.0ms (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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample25.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify166.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0177
1177

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.1b
(/.f64 (*.f64 x y) z)

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_20915 add-exp-log_binary64_20917
add-sqr-sqrt_binary64_20901 times-frac_binary64_20885 associate-/r*_binary64_20823 add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879
div-exp_binary64_20930 cbrt-undiv_binary64_20913
associate-/l*_binary64_20824 frac-2neg_binary64_20890 div-inv_binary64_20876 clear-num_binary64_20878 prod-exp_binary64_20928 pow1_binary64_20940 add-log-exp_binary64_20918 cbrt-unprod_binary64_20912
Counts
1 → 21
Calls

1 calls:

8.0ms
(/.f64 (*.f64 x y) z)

series33.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(/.f64 (*.f64 x y) z)

simplify190.0ms (4.1%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (176.0ms)

IterNodesCost
04671219
14671219

prune53.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New16824
Fresh000
Picked011
Done000
Total16925

Merged error: 0.0b

Counts
25 → 9
Compiler

Compiled 275 to 108 computations (60.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
3.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite52.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_20901
28×times-frac_binary64_20885
25×add-exp-log_binary64_20917
22×add-cube-cbrt_binary64_20914 associate-*r*_binary64_20819 *-un-lft-identity_binary64_20879
20×cbrt-prod_binary64_20910
18×add-cbrt-cube_binary64_20915
prod-exp_binary64_20928 cbrt-unprod_binary64_20912
associate-*l*_binary64_20820 div-exp_binary64_20930 cbrt-undiv_binary64_20913
unswap-sqr_binary64_20847 pow1_binary64_20940
add-log-exp_binary64_20918
pow1/3_binary64_20961
div-inv_binary64_20876
pow-prod-down_binary64_20950 *-commutative_binary64_20810 associate-*r/_binary64_20821 associate-*l/_binary64_20822 frac-times_binary64_20889
Counts
4 → 92
Calls

4 calls:

30.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
2.0ms
(cbrt.f64 z)
2.0ms
(cbrt.f64 z)
2.0ms
(cbrt.f64 z)

series591.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

164.0ms
(cbrt.f64 z)
154.0ms
(cbrt.f64 z)
151.0ms
(cbrt.f64 z)
122.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

simplify148.0ms (3.1%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
049531221
149531221

prune133.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh347
Picked011
Done011
Total1067113

Merged error: 0.0b

Counts
113 → 7
Compiler

Compiled 1574 to 484 computations (69.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.0b
(*.f64 y (/.f64 x z))

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_20901
13×associate-*r*_binary64_20819
10×times-frac_binary64_20885
add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879
add-cbrt-cube_binary64_20915 add-exp-log_binary64_20917
associate-*l*_binary64_20820 pow1_binary64_20940
unswap-sqr_binary64_20847 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
div-exp_binary64_20930 pow-prod-down_binary64_20950 cbrt-undiv_binary64_20913 div-inv_binary64_20876 *-commutative_binary64_20810 add-log-exp_binary64_20918 associate-*r/_binary64_20821
Counts
1 → 32
Calls

1 calls:

14.0ms
(*.f64 y (/.f64 x z))

series40.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(*.f64 y (/.f64 x z))

simplify164.0ms (3.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
05386348

prune41.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New33235
Fresh044
Picked011
Done022
Total33942

Merged error: 0.0b

Counts
42 → 9
Compiler

Compiled 409 to 130 computations (68.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
2.2b
(*.f64 (/.f64 x z) (cbrt.f64 y))
3.1b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 x z) (cbrt.f64 y)))

rewrite57.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64_20917
25×add-sqr-sqrt_binary64_20901
18×add-cbrt-cube_binary64_20915 pow1_binary64_20940
15×add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879 prod-exp_binary64_20928 cbrt-unprod_binary64_20912
14×associate-*l*_binary64_20820
11×times-frac_binary64_20885 cbrt-prod_binary64_20910
pow-prod-down_binary64_20950
associate-*r*_binary64_20819
unswap-sqr_binary64_20847 add-log-exp_binary64_20918
div-exp_binary64_20930 cbrt-undiv_binary64_20913
pow1/3_binary64_20961 *-commutative_binary64_20810 associate-*l/_binary64_20822
div-inv_binary64_20876 associate-*r/_binary64_20821
Counts
4 → 86
Calls

4 calls:

20.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 x z) (cbrt.f64 y)))
16.0ms
(*.f64 (/.f64 x z) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)

series524.0ms (11.2%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(cbrt.f64 y)
173.0ms
(cbrt.f64 y)
100.0ms
(*.f64 (/.f64 x z) (cbrt.f64 y))
76.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 x z) (cbrt.f64 y)))

simplify127.0ms (2.7%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
05102931

prune115.0ms (2.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New97198
Fresh145
Picked011
Done033
Total989107

Merged error: 0b

Counts
107 → 9
Compiler

Compiled 1380 to 313 computations (77.3% saved)

regimes440.0ms (9.4%)

Compiler

Compiled 1103 to 823 computations (25.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02871
12871

end0.0ms (0%)

sample1.3s (26.7%)

Algorithm
intervals
Results
343.0ms8000×body128valid
32.0ms781×body128invalid
Compiler

Compiled 267 to 184 computations (31.1% saved)

Profiling

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