Details

Time bar (total: 7.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify9.0ms

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: 11.7b

localize6.0ms

Local error

Found 1 expressions with local error:

11.3b
(/ (* 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 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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify34.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune40.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (* a1 a2) b1)
6.1b
(/ (/ (* a1 a2) b1) b2)

rewrite15.0ms

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:
7.0ms
(/ (* 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)

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0301392
11329347
25001347

prune155.0ms

Filtered
75 candidates to 54 candidates (72.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b1)
2.0b
(/ (/ a2 (cbrt b1)) (cbrt b2))
2.6b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
4.6b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
136×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/l*
21×unswap-sqr
20×div-inv
11×associate-*l*
7×associate-/r*
6×pow1
4×add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 446
Calls
4 calls:
0.0ms
(cbrt b1)
10.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
9.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
87.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt b1)
105.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
143.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
77.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify92.0ms

Algorithm
egg-herbie
Counts
458 → 458
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020896504
150026075

prune1.7s

Filtered
458 candidates to 387 candidates (84.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.7b
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
2.6b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
4.8b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
741×times-frac
715×cbrt-prod
432×add-exp-log
422×add-sqr-sqrt
365×associate-*r*
360×add-cube-cbrt *-un-lft-identity
183×cbrt-undiv div-exp
177×prod-exp add-cbrt-cube cbrt-unprod
19×associate-*l* unswap-sqr
16×div-inv
11×pow1
7×associate-/l*
4×pow-prod-down add-log-exp
2×associate-*l/ *-commutative
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num associate-/r* associate-/l/
Counts
4 → 599
Calls
4 calls:
1.0ms
(cbrt a2)
247.0ms
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
9.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
39.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt a2)
75.0ms
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
147.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
156.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

simplify180.0ms

Algorithm
egg-herbie
Counts
611 → 611
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0426016100
1500115653

prune2.8s

Filtered
611 candidates to 481 candidates (78.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

30.5% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 7.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04952
14952

end0.0ms

sample467.0ms

Algorithm
intervals
Results
233.0ms10011×body80valid