Details

Time bar (total: 4.0s)

sample33.0ms

Algorithm
intervals
Results
17.0ms474×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.0b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.9b
(/ (* x x) (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
8.0ms
(/ (* x x) (* y y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms
(/ (* x x) (* y y))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune108.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New33639
Fresh011
Picked101
Done000
Total34741

Merged error: 0.2b

Counts
41 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.4b
(* (/ x y) (/ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
12.0ms
(* (/ x y) (/ x y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
30.0ms
(* (/ x y) (/ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0375521
11788441
25001391

prune226.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh336
Picked101
Done000
Total811192

Merged error: 0.1b

Counts
92 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (cbrt (/ x y)) 4)
9.2b
(cbrt (/ x y))
9.2b
(cbrt (/ x y))
9.2b
(cbrt (/ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
3×pow-unpow cbrt-div
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 105
Calls
4 calls:
5.0ms
(pow (cbrt (/ x y)) 4)
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series303.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(pow (cbrt (/ x y)) 4)
72.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))
73.0ms
(cbrt (/ x y))

simplify106.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0240674
1696640
22736622
35001596

prune410.0ms

Filtered
117 candidates to 91 candidates (77.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh01010
Picked011
Done000
Total11612128

Merged error: 0.1b

Counts
128 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(pow (cbrt (/ x y)) 4)
9.2b
(cbrt (/ x y))
9.2b
(cbrt (/ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
16×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow div-inv
2×cbrt-div pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt y)
5.0ms
(pow (cbrt (/ x y)) 4)
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series435.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
91.0ms
(pow (cbrt (/ x y)) 4)
67.0ms
(cbrt (/ x y))
77.0ms
(cbrt (/ x y))

simplify135.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0270570
1797541
23309524
35001504

prune406.0ms

Filtered
106 candidates to 83 candidates (78.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh01010
Picked011
Done011
Total10612118

Merged error: 0.1b

Counts
118 → 12

regimes292.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01713
11713

end0.0ms

sample981.0ms

Algorithm
intervals
Results
576.0ms15507×body80valid