Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms347×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

9.5b
(/ (* 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))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune45.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21526
Fresh000
Picked011
Done000
Total21627

Merged error: 0.1b

Counts
27 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

9.3b
(* (/ a1 b1) (/ a2 b2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
11.0ms
(* (/ a1 b1) (/ a2 b2))

series29.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0321286
11417251
25001250

prune116.0ms

Filtered
55 candidates to 41 candidates (74.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New50555
Fresh314
Picked011
Done011
Total53861

Merged error: 0.0b

Counts
61 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b2)
0.6b
(* (cbrt b2) (cbrt b2))
3.4b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
6.0b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
83×add-sqr-sqrt
59×add-exp-log
48×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
31×cbrt-prod
28×associate-*r*
23×cbrt-undiv div-exp associate-*l*
17×prod-exp cbrt-unprod
13×pow1 associate-/l* unswap-sqr
7×pow1/3
6×swap-sqr div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* associate-/l/
Counts
4 → 185
Calls
4 calls:
1.0ms
(cbrt b2)
6.0ms
(* (cbrt b2) (cbrt b2))
12.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
21.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt b2)
197.0ms
(* (cbrt b2) (cbrt b2))
117.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
76.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify116.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
07991543
147221245
250011231

prune471.0ms

Filtered
197 candidates to 152 candidates (77.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1961197
Fresh055
Picked011
Done022
Total1969205

Merged error: 0.0b

Counts
205 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
16.3b
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
16.3b
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
16.3b
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
55×times-frac
52×add-sqr-sqrt
45×add-exp-log
32×add-cbrt-cube
25×add-cube-cbrt *-un-lft-identity
22×associate-*r*
17×cbrt-undiv div-exp associate-*l*
15×cbrt-prod
14×prod-exp cbrt-unprod
9×cbrt-div unswap-sqr
6×pow1
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×pow-prod-down *-commutative
Counts
4 → 124
Calls
4 calls:
27.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
11.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
12.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
12.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
87.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
93.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
93.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))

simplify70.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06901515
132071319
250011237

prune433.0ms

Filtered
136 candidates to 111 candidates (81.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh055
Picked011
Done033
Total1369145

Merged error: 0.0b

Counts
145 → 9

regimes466.0ms

Accuracy

71.9% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03953
13953

end0.0ms

sample510.0ms

Algorithm
intervals
Results
250.0ms10068×body80valid