Details

Time bar (total: 3.8s)

analyze378.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14

sample52.0ms

Algorithm
intervals
Results
13.0ms179×body80valid
11.0ms30×body640valid
6.0ms7×body1280valid
5.0ms23×body320valid
2.0ms17×body160valid
1.0ms12×body80nan
0.0ms2×body80invalid

simplify132.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
0521017

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y))))
0.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))
6.6b
(log.f64 (-.f64 1.0 y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod_binary64
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
11×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
10×associate-+r+_binary64 associate-*l/_binary64
8×pow1_binary64
7×flip3--_binary64 add-exp-log_binary64 flip--_binary64
6×associate-+l+_binary64 add-cbrt-cube_binary64
5×associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
4×associate-*r*_binary64 frac-add_binary64
2×diff-log_binary64 log-pow_binary64 log-div_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 cbrt-unprod_binary64 rem-log-exp_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 91
Calls
4 calls:
13.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y))))
12.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
7.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
4.0ms
(log.f64 (-.f64 1.0 y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y))))
37.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
11.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
4.0ms
(log.f64 (-.f64 1.0 y))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049711579
149711579

prune157.0ms

Filtered
82 candidates to 103 candidates (-25.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New967103
Fresh000
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
0.0b
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×flip3--_binary64 flip--_binary64 associate-*l/_binary64
18×log-prod_binary64
17×add-sqr-sqrt_binary64
16×frac-add_binary64
15×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
10×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
8×associate-+r+_binary64 frac-times_binary64
7×associate--l+_binary64
6×pow1_binary64 associate-+l+_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
4×associate-*r*_binary64 associate-*r/_binary64
3×sub-neg_binary64
2×diff-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 log-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 *-commutative_binary64
Counts
3 → 85
Calls
3 calls:
14.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
13.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))

series134.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
54.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))
13.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
061023336

prune193.0ms

Filtered
76 candidates to 94 candidates (-23.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh246
Picked011
Done000
Total956101

Merged error: 0.0b

Counts
101 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)
6.6b
(log.f64 (-.f64 1.0 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod_binary64
30×distribute-lft-in_binary64 distribute-rgt-in_binary64
24×associate-+l+_binary64 cbrt-prod_binary64
21×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
12×associate-+r+_binary64
8×associate-*l/_binary64
6×add-log-exp_binary64
5×pow1_binary64 flip3--_binary64 add-exp-log_binary64 flip--_binary64
4×frac-add_binary64 add-cbrt-cube_binary64
2×pow1/3_binary64 log-div_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 rem-log-exp_binary64 log-pow_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 90
Calls
4 calls:
15.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
4.0ms
(log.f64 (-.f64 1.0 y))

series81.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
20.0ms
(cbrt.f64 y)
17.0ms
(cbrt.f64 y)
3.0ms
(log.f64 (-.f64 1.0 y))

simplify32.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
057791073

prune161.0ms

Filtered
92 candidates to 102 candidates (-10.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh134
Picked101
Done011
Total1026108

Merged error: 0.0b

Counts
108 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
5.1b
(pow.f64 y 1/3)
6.6b
(log.f64 (-.f64 1.0 y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×log-prod_binary64
34×distribute-lft-in_binary64 distribute-rgt-in_binary64
28×associate-+l+_binary64
22×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
15×unpow-prod-down_binary64
12×associate-+r+_binary64
9×cbrt-prod_binary64
8×associate-*l/_binary64
6×add-log-exp_binary64 pow1_binary64 add-exp-log_binary64
5×flip3--_binary64 sqr-pow_binary64 flip--_binary64
4×frac-add_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64
2×log-div_binary64
1×pow-to-exp_binary64 flip3-+_binary64 distribute-lft-out_binary64 rem-log-exp_binary64 pow1/3_binary64 pow-pow_binary64 log-pow_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64 pow-exp_binary64 unpow1/3_binary64 sum-log_binary64
Counts
4 → 101
Calls
4 calls:
16.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
1.0ms
(cbrt.f64 y)
2.0ms
(pow.f64 y 1/3)
4.0ms
(log.f64 (-.f64 1.0 y))

series92.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+.f64 (*.f64 (-.f64 x 1.0) (*.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (-.f64 x 1.0) (log.f64 (cbrt.f64 y))))
20.0ms
(cbrt.f64 y)
16.0ms
(pow.f64 y 1/3)
4.0ms
(log.f64 (-.f64 1.0 y))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049261010
149261010

prune148.0ms

Filtered
94 candidates to 113 candidates (-20.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh044
Picked101
Done011
Total1136119

Merged error: 0.0b

Counts
119 → 6

regimes385.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
010629
110629

end0.0ms

sample1.4s

Algorithm
intervals
Results
403.0ms5785×body80valid
299.0ms806×body640valid
179.0ms256×body1280valid
172.0ms731×body320valid
63.0ms422×body160valid
21.0ms289×body80nan
2.0ms33×body80invalid

Profiling

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