Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.7b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.1b

Counts
25 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

10.9b
(* (/ a1 b1) (/ a2 b2))

rewrite12.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
pow1
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(* (/ a1 b1) (/ a2 b2))

series8.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0319278
11415243
25001242

prune70.0ms

Filtered
39 candidates to 53 candidates (-35.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh145
Picked011
Done011
Total52860

Merged error: 0.0b

Counts
60 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (/ a2 b2) b1)
7.2b
(* a1 (/ (/ a2 b2) b1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
div-inv
cbrt-undiv div-exp
pow1
associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
6.0ms
(/ (/ a2 b2) b1)
14.0ms
(* a1 (/ (/ a2 b2) b1))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (/ a2 b2) b1)
8.0ms
(* a1 (/ (/ a2 b2) b1))

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0547833
12544781
25001781

prune120.0ms

Filtered
112 candidates to 141 candidates (-25.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1392141
Fresh055
Picked011
Done022
Total13910149

Merged error: 0.0b

Counts
149 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.5b
(* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1)
5.1b
(* (* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1) (/ (/ (cbrt a2) (cbrt b2)) b1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
230×times-frac
127×add-sqr-sqrt associate-*r*
124×add-cube-cbrt *-un-lft-identity
115×add-exp-log
114×cbrt-prod
71×add-cbrt-cube
54×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
11×pow1
associate-*l*
div-inv
pow-prod-down associate-*l/ add-log-exp
pow1/3 *-commutative unswap-sqr
frac-times associate-*r/
Counts
4 → 226
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
12.0ms
(* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1)
35.0ms
(* (* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1) (/ (/ (cbrt a2) (cbrt b2)) b1))

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt b2)
21.0ms
(cbrt b2)
35.0ms
(* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1)
9.0ms
(* (* (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) a1) (/ (/ (cbrt a2) (cbrt b2)) b1))

simplify76.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
016603480
150013078

prune197.0ms

Filtered
188 candidates to 238 candidates (-26.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2371238
Fresh066
Picked011
Done033
Total23711248

Merged error: 0b

Counts
248 → 11

regimes808.0ms

Accuracy

59.8% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03637
13637

end0.0ms

sample681.0ms

Algorithm
intervals
Results
277.0ms10008×body80valid

Profiling

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