Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify10.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize6.0ms

Local error

Found 1 expressions with local error:

10.5b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune46.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ a1 (/ (* b1 b2) a2))
5.2b
(/ (* b1 b2) a2)

rewrite10.0ms

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:
5.0ms
(/ a1 (/ (* b1 b2) a2))
3.0ms
(/ (* b1 b2) a2)

series49.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ a1 (/ (* b1 b2) a2))
19.0ms
(/ (* b1 b2) a2)

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296411
11413367
25001364

prune166.0ms

Filtered
79 candidates to 61 candidates (77.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.6b
(* a1 (/ a2 (* b1 b2)))
5.4b
(/ a2 (* b1 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
9.0ms
(* a1 (/ a2 (* b1 b2)))
3.0ms
(/ a2 (* b1 b2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* a1 (/ a2 (* b1 b2)))
20.0ms
(/ a2 (* b1 b2))

simplify33.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0197241
1945198
25001198

prune115.0ms

Filtered
58 candidates to 39 candidates (67.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
3.1b
(* a1 (/ (* (cbrt a2) (cbrt a2)) b1))
7.9b
(* (* a1 (/ (* (cbrt a2) (cbrt a2)) b1)) (/ (cbrt a2) b2))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
29×associate-*r*
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
20×prod-exp cbrt-unprod
15×cbrt-prod
11×pow1
10×cbrt-undiv div-exp
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×pow1/3 *-commutative div-inv unswap-sqr
1×frac-times associate-*l/
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt a2)
1.0ms
(cbrt a2)
12.0ms
(* a1 (/ (* (cbrt a2) (cbrt a2)) b1))
44.0ms
(* (* a1 (/ (* (cbrt a2) (cbrt a2)) b1)) (/ (cbrt a2) b2))

series532.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a2)
171.0ms
(cbrt a2)
124.0ms
(* a1 (/ (* (cbrt a2) (cbrt a2)) b1))
55.0ms
(* (* a1 (/ (* (cbrt a2) (cbrt a2)) b1)) (/ (cbrt a2) b2))

simplify79.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0531934
13146705
25001644

prune271.0ms

Filtered
122 candidates to 88 candidates (72.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes384.0ms

Accuracy

54.5% (5.0b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 11.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03229
13229

end0.0ms

sample468.0ms

Algorithm
intervals
Results
233.0ms10028×body80valid