Details

Time bar (total: 6.4s)

analyze1.6s

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
0%99.7%0.3%13
0%99.7%0.3%14

sample49.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
9.0ms159×body80invalid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0495317
1495317

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.9b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4.0 (*.f64 t a))
0.2b
(*.f64 (*.f64 x 9.0) y)
2.0b
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
9.4b
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
14×pow1_binary64
6×pow-prod-down_binary64 associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64
4×associate-/l/_binary64 add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
2×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
1×flip3-+_binary64 flip3--_binary64 div-sub_binary64 flip--_binary64 flip-+_binary64
Counts
4 → 95
Calls
4 calls:
5.0ms
(*.f64 4.0 (*.f64 t a))
6.0ms
(*.f64 (*.f64 x 9.0) y)
9.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
12.0ms
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

series77.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 4.0 (*.f64 t a))
4.0ms
(*.f64 (*.f64 x 9.0) y)
16.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z)
53.0ms
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 9.0) y) b) z) (*.f64 4.0 (*.f64 t a))) c)

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049791454
149791454

prune186.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9611107
Fresh011
Picked101
Done000
Total9712109

Merged error: 4.4b

Counts
109 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
4.7b
(/.f64 b (*.f64 z c))
4.7b
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
8.8b
(/.f64 (*.f64 x y) (*.f64 z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
13×cbrt-undiv_binary64 div-exp_binary64
12×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×times-frac_binary64
6×pow1_binary64
5×associate-/r*_binary64 associate-*r*_binary64 associate-/l*_binary64
4×add-log-exp_binary64 div-inv_binary64
3×associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 94
Calls
4 calls:
8.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
4.0ms
(/.f64 b (*.f64 z c))
6.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
6.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

series37.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) (*.f64 z c)))
6.0ms
(/.f64 b (*.f64 z c))
7.0ms
(/.f64 (*.f64 4.0 (*.f64 t a)) c)
12.0ms
(/.f64 (*.f64 x y) (*.f64 z c))

simplify65.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05020876

prune162.0ms

Filtered
63 candidates to 106 candidates (-68.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh3811
Picked101
Done000
Total10414118

Merged error: 1.7b

Counts
118 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

8.8b
(/.f64 (*.f64 x y) (*.f64 z c))
12.3b
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
12.3b
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
12.3b
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
4×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
3×cbrt-div_binary64 pow1/3_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
4 → 69
Calls
4 calls:
6.0ms
(/.f64 (*.f64 x y) (*.f64 z c))
4.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
4.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
4.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))

series90.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/.f64 (*.f64 x y) (*.f64 z c))
26.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
28.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))
27.0ms
(cbrt.f64 (/.f64 (*.f64 4.0 (*.f64 t a)) c))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04981827
14981827

prune164.0ms

Filtered
62 candidates to 81 candidates (-30.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh01313
Picked011
Done000
Total811495

Merged error: 1.7b

Counts
95 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 9.0 (/.f64 (*.f64 x y) z))
0.4b
(+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z))
4.4b
(/.f64 (*.f64 x y) z)
9.4b
(/.f64 (-.f64 (+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z)) (*.f64 4.0 (*.f64 t a))) c)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log_binary64 add-cbrt-cube_binary64
19×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
15×times-frac_binary64
7×associate-*r*_binary64
6×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64
5×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
4×associate-/l*_binary64
3×associate-*l*_binary64 div-inv_binary64
2×associate-/l/_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 frac-add_binary64 unswap-sqr_binary64 div-sub_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 90
Calls
4 calls:
7.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) z))
9.0ms
(+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z))
5.0ms
(/.f64 (*.f64 x y) z)
15.0ms
(/.f64 (-.f64 (+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z)) (*.f64 4.0 (*.f64 t a))) c)

series84.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(*.f64 9.0 (/.f64 (*.f64 x y) z))
17.0ms
(+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z))
6.0ms
(/.f64 (*.f64 x y) z)
53.0ms
(/.f64 (-.f64 (+.f64 (*.f64 9.0 (/.f64 (*.f64 x y) z)) (/.f64 b z)) (*.f64 4.0 (*.f64 t a))) c)

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049901466
149901466

prune96.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh11112
Picked011
Done011
Total10115116

Merged error: 1.7b

Counts
116 → 15

regimes2.1s

Accuracy

74.1% (2.4b remaining)

Error of 5.2b against oracle of 2.7b and baseline of 12.1b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0161187
1161187

end0.0ms

sample1.3s

Algorithm
intervals
Results
511.0ms8000×body80valid
292.0ms4730×body80invalid

Profiling

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