Details

Time bar (total: 6.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* a1 a2) (* b1 b2))

series28.0ms

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

simplify26.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune46.0ms

Filtered
24 candidates to 13 candidates (54.2%)
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)

rewrite12.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
4.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series50.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
31.0ms
(/ (/ (* a1 a2) b1) b2)

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301392
11329347
25001347

prune145.0ms

Filtered
75 candidates to 53 candidates (70.7%)
Pruning

8 alts after pruning (7 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)
3.3b
(/ (/ a2 b1) (cbrt b2))
7.7b
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

rewrite179.0ms

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×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 → 417
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
7.0ms
(/ (/ a2 b1) (cbrt b2))
140.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt b2)
178.0ms
(cbrt b2)
81.0ms
(/ (/ a2 b1) (cbrt b2))
62.0ms
(* (/ (/ a1 (cbrt b2)) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))

simplify64.0ms

Algorithm
egg-herbie
Counts
429 → 429
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
016954550
150014205

prune1.4s

Filtered
429 candidates to 389 candidates (90.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

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)))) 1) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
666×times-frac
504×add-sqr-sqrt
451×cbrt-prod
300×add-cube-cbrt *-un-lft-identity
203×add-exp-log
161×associate-*l*
85×div-exp prod-exp
83×associate-*r*
82×add-cbrt-cube
53×cbrt-undiv
52×cbrt-unprod
45×unswap-sqr
24×div-inv
14×1-exp
13×associate-/l*
11×pow1
6×frac-times associate-*r/ associate-/r*
4×pow-prod-down associate-*l/ add-log-exp
2×*-commutative
1×cbrt-div frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 529
Calls
4 calls:
3.0ms
(cbrt (/ a1 (cbrt b2)))
159.0ms
(* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))
7.0ms
(/ (/ a2 b1) (cbrt b2))
36.0ms
(* (/ (* (cbrt (/ a1 (cbrt b2))) (cbrt (/ a1 (cbrt b2)))) 1) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (/ a1 (cbrt b2)))
487.0ms
(* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2)))
77.0ms
(/ (/ a2 b1) (cbrt b2))
39.0ms
(* (/ (* (cbrt (/ a1 (cbrt b2))) (cbrt (/ a1 (cbrt b2)))) 1) (* (/ (cbrt (/ a1 (cbrt b2))) (cbrt b2)) (/ (/ a2 b1) (cbrt b2))))

simplify95.0ms

Algorithm
egg-herbie
Counts
541 → 541
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
021927260
150016718

prune2.2s

Filtered
541 candidates to 451 candidates (83.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes360.0ms

Accuracy

76.2% (2.3b remaining)

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

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03528
13528

end0.0ms

sample473.0ms

Algorithm
intervals
Results
234.0ms9929×body80valid