Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms308×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ (* a1 a2) (* b1 b2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
9.0ms
(/ (* a1 a2) (* b1 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify31.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0162132
193897
2500197

prune52.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New21526
Fresh000
Picked101
Done000
Total22527

Merged error: 0.1b

Counts
27 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

5.3b
(/ (* b1 b2) a2)
6.3b
(/ a1 (/ (* b1 b2) a2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series57.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* b1 b2) a2)
33.0ms
(/ a1 (/ (* b1 b2) a2))

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296411
11413367
25001364

prune179.0ms

Filtered
79 candidates to 61 candidates (77.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73679
Fresh224
Picked011
Done000
Total75984

Merged error: 0.0b

Counts
84 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.6b
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
6.5b
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
40×add-cbrt-cube
27×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×times-frac pow1/3 div-inv
1×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
7.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
11.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

series563.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt a1)
191.0ms
(cbrt a1)
101.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
71.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0371725
11995538
25002487

prune219.0ms

Filtered
100 candidates to 63 candidates (63.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh077
Picked011
Done011
Total9910109

Merged error: 0.0b

Counts
109 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
2.8b
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
6.5b
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
57×add-exp-log
48×times-frac
40×add-cbrt-cube
32×add-cube-cbrt *-un-lft-identity
30×cbrt-prod
27×prod-exp cbrt-unprod
23×associate-*r* associate-*l*
18×pow1
12×cbrt-undiv div-exp
9×pow-prod-down unswap-sqr
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-times pow1/3 associate-*r/ *-commutative div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
17.0ms
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
12.0ms
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt a1)
187.0ms
(cbrt a1)
100.0ms
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
73.0ms
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

simplify82.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06271153
13074968
25002898

prune366.0ms

Filtered
152 candidates to 110 candidates (72.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1511152
Fresh077
Picked011
Done022
Total15111162

Merged error: 0b

Counts
162 → 11

regimes380.0ms

Accuracy

38.5% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 9.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325
14325

end0.0ms

sample568.0ms

Algorithm
intervals
Results
284.0ms10040×body80valid