Details

Time bar (total: 15.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms322×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize5.0ms

Local error

Found 1 expressions with local error:

11.7b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

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

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify30.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune49.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (* a1 a2) b1)
6.8b
(/ (/ (* a1 a2) b1) b2)

rewrite14.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
8.0ms
(/ (/ (* a1 a2) b1) b2)

series46.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* a1 a2) b1)
28.0ms
(/ (/ (* a1 a2) b1) b2)

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0305406
11333361
25002361

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.1b
(/ (/ a2 b1) (cbrt b2))
6.3b
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
437×add-sqr-sqrt
275×add-cube-cbrt *-un-lft-identity
246×cbrt-prod
136×associate-*l*
82×associate-*r*
45×add-exp-log
35×unswap-sqr
28×add-cbrt-cube
22×div-inv
21×cbrt-undiv div-exp
13×associate-/l*
9×prod-exp cbrt-unprod
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 425
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
7.0ms
(/ (/ a2 b1) (cbrt b2))
197.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt b2)
173.0ms
(cbrt b2)
80.0ms
(/ (/ a2 b1) (cbrt b2))
63.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
437 → 437
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017014584
150024239

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
0.6b
(cbrt b2)
6.3b
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b1) (cbrt b1))) (/ (cbrt b2) (/ (cbrt a2) (cbrt b1)))))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
4703×times-frac
2412×add-sqr-sqrt
2106×cbrt-prod
1531×add-cube-cbrt *-un-lft-identity
1230×associate-*r*
310×add-exp-log
288×div-inv
174×cbrt-undiv div-exp
161×unswap-sqr
136×associate-*l*
130×add-cbrt-cube
84×prod-exp cbrt-unprod
6×pow1 associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 1676
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
1.0ms
(cbrt b2)
2.3s
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b1) (cbrt b1))) (/ (cbrt b2) (/ (cbrt a2) (cbrt b1)))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt b2)
178.0ms
(cbrt b2)
184.0ms
(cbrt b2)
58.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b1) (cbrt b1))) (/ (cbrt b2) (/ (cbrt a2) (cbrt b1)))))

simplify306.0ms

Algorithm
egg-herbie
Counts
1688 → 1688
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0500137904

prune8.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes317.0ms

Accuracy

67% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 5.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05679
15679

end0.0ms

sample615.0ms

Algorithm
intervals
Results
370.0ms10018×body80valid