Details

Time bar (total: 4.8s)

sample32.0ms

Algorithm
intervals
Results
13.0ms320×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize10.0ms

Local error

Found 1 expressions with local error:

10.5b
(/ (* 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:
8.0ms
(/ (* 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

prune47.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ a1 (/ (* b1 b2) a2))
5.6b
(/ (* 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)

series54.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ a1 (/ (* b1 b2) a2))
19.0ms
(/ (* b1 b2) a2)

simplify38.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296411
11413367
25001364

prune177.0ms

Pruning

11 alts after pruning (10 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)
1.5b
(/ a1 (/ b2 (cbrt a2)))
4.9b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
71×cbrt-prod associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/r*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 252
Calls
4 calls:
0.0ms
(cbrt a2)
1.0ms
(cbrt a2)
7.0ms
(/ a1 (/ b2 (cbrt a2)))
49.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a2)
178.0ms
(cbrt a2)
81.0ms
(/ a1 (/ b2 (cbrt a2)))
59.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify52.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010942399
150022092

prune826.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt a2))
0.8b
(/ a1 (/ b2 (cbrt (cbrt a2))))
1.6b
(* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2)))))
4.9b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2))))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
235×add-sqr-sqrt
210×cbrt-prod
206×add-cube-cbrt *-un-lft-identity
99×associate-*r*
72×add-exp-log
47×add-cbrt-cube
31×associate-/r*
28×prod-exp cbrt-unprod
23×cbrt-undiv div-exp
11×pow1 associate-*l*
10×div-inv unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-/r/ *-commutative
1×frac-times frac-2neg pow1/3 associate-*l/ clear-num
Counts
4 → 337
Calls
4 calls:
1.0ms
(cbrt (cbrt a2))
12.0ms
(/ a1 (/ b2 (cbrt (cbrt a2))))
44.0ms
(* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2)))))
53.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2))))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (cbrt a2))
115.0ms
(/ a1 (/ b2 (cbrt (cbrt a2))))
105.0ms
(* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2)))))
62.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (* (cbrt (* (cbrt a2) (cbrt a2))) (/ a1 (/ b2 (cbrt (cbrt a2))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
349 → 349
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012874141
150013809

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes365.0ms

Accuracy

42.4% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 10.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04932
14932

end0.0ms

sample479.0ms

Algorithm
intervals
Results
230.0ms9998×body80valid