Details

Time bar (total: 7.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms321×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: 12.9b

localize5.0ms

Local error

Found 1 expressions with local error:

12.5b
(/ (* 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:
6.0ms
(/ (* 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

prune51.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

6.4b
(/ (* a1 a2) b1)
7.0b
(/ (/ (* a1 a2) b1) b2)

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
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:
4.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series47.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
28.0ms
(/ (/ (* a1 a2) b1) b2)

simplify41.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0305406
11333361
25002361

prune160.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.3b
(/ (/ a2 b1) (cbrt b2))
7.7b
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

rewrite200.0ms

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:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
8.0ms
(/ (/ a2 b1) (cbrt b2))
161.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt b2)
180.0ms
(cbrt b2)
81.0ms
(/ (/ a2 b1) (cbrt b2))
65.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
437 → 437
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017014584
150024239

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.1b
(cbrt (/ a1 (cbrt b2)))
3.0b
(* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))
3.3b
(/ (/ a2 b1) (cbrt b2))
3.5b
(* (/ (* (cbrt (/ a1 (cbrt b2))) (cbrt (/ a1 (cbrt b2)))) (cbrt 1)) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
669×times-frac
505×add-sqr-sqrt
454×cbrt-prod
301×add-cube-cbrt *-un-lft-identity
164×associate-*l*
138×add-exp-log
83×associate-*r*
68×add-cbrt-cube
53×cbrt-undiv div-exp
52×prod-exp cbrt-unprod
45×unswap-sqr
24×div-inv
13×associate-/l*
11×pow1
6×frac-times associate-*r/ associate-/r*
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×*-commutative
1×cbrt-div frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 526
Calls
4 calls:
4.0ms
(cbrt (/ a1 (cbrt b2)))
174.0ms
(* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))
8.0ms
(/ (/ a2 b1) (cbrt b2))
46.0ms
(* (/ (* (cbrt (/ a1 (cbrt b2))) (cbrt (/ a1 (cbrt b2)))) (cbrt 1)) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (/ a1 (cbrt b2)))
428.0ms
(* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))
79.0ms
(/ (/ a2 b1) (cbrt b2))
29.0ms
(* (/ (* (cbrt (/ a1 (cbrt b2))) (cbrt (/ a1 (cbrt b2)))) (cbrt 1)) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

simplify89.0ms

Algorithm
egg-herbie
Counts
538 → 538
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
021287308
150016667

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes413.0ms

Accuracy

76.2% (2.3b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 9.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03528
13528

end0.0ms

sample481.0ms

Algorithm
intervals
Results
242.0ms9929×body80valid