Details

Time bar (total: 3.2s)

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 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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.1b

Counts
25 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (/ a1 b1) (/ a2 b2))

simplify39.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0319278
11415243
25001242

prune113.0ms

Filtered
53 candidates to 39 candidates (73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New48553
Fresh314
Picked011
Done011
Total51859

Merged error: 0.0b

Counts
59 → 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)))

rewrite45.0ms

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×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 → 177
Calls
4 calls:
1.0ms
(cbrt b2)
5.0ms
(* (cbrt b2) (cbrt b2))
8.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
20.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt b2)
196.0ms
(* (cbrt b2) (cbrt b2))
112.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
66.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify117.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07911501
147121203
250011187

prune423.0ms

Filtered
189 candidates to 144 candidates (76.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1881189
Fresh055
Picked011
Done022
Total1889197

Merged error: 0.0b

Counts
197 → 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))))

rewrite60.0ms

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×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3 div-inv
1×pow-prod-down *-commutative
Counts
4 → 116
Calls
4 calls:
19.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
10.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
10.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
14.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))
84.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
84.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))
85.0ms
(cbrt (* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2))))

simplify74.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06861437
132021241
250021159

prune391.0ms

Filtered
128 candidates to 103 candidates (80.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done033
Total1289137

Merged error: 0.0b

Counts
137 → 9

regimes369.0ms

Accuracy

71.9% (3.1b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03953
13953

end0.0ms

sample484.0ms

Algorithm
intervals
Results
235.0ms10068×body80valid