Details

Time bar (total: 2.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ (* 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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune43.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh000
Picked101
Done000
Total19625

Merged error: 0.1b

Counts
25 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

5.3b
(/ (* b1 b2) a2)
7.8b
(/ a1 (/ (* b1 b2) a2))

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
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
4.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* b1 b2) a2)
9.0ms
(/ a1 (/ (* b1 b2) a2))

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0292397
11409353
25001350

prune97.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New69675
Fresh145
Picked101
Done000
Total711081

Merged error: 0b

Counts
81 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
2.5b
(/ (cbrt a1) (/ b2 (cbrt a2)))
2.6b
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
3.4b
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite112.0ms

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
137×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/r*
21×unswap-sqr
20×div-inv
12×associate-*l*
7×associate-/l*
6×pow1
4×associate-/r/ add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 448
Calls
4 calls:
1.0ms
(cbrt a2)
13.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
10.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
57.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a2)
24.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
42.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
13.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify91.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
020526484
150016103

prune408.0ms

Filtered
393 candidates to 460 candidates (-17.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4600460
Fresh099
Picked011
Done000
Total46010470

Merged error: 0b

Counts
470 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
2.5b
(/ a1 (/ b2 (cbrt a2)))
6.3b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
71×cbrt-prod associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/r*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 244
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
9.0ms
(/ a1 (/ b2 (cbrt a2)))
27.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt a2)
22.0ms
(cbrt a2)
18.0ms
(/ a1 (/ b2 (cbrt a2)))
13.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify46.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011132402
150012238

prune205.0ms

Filtered
219 candidates to 256 candidates (-16.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh088
Picked011
Done011
Total25610266

Merged error: 0b

Counts
266 → 10

regimes755.0ms

Accuracy

70.2% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 9.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04139
14139

end0.0ms

sample692.0ms

Algorithm
intervals
Results
267.0ms10071×body80valid

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