Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms307×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 12.3b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ (* a1 a2) (* b1 b2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt 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))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune52.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New20626
Fresh000
Picked101
Done000
Total21627

Merged error: 0.1b

Counts
27 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* a1 a2) b1)
5.9b
(/ (/ (* a1 a2) b1) b2)

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
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
28.0ms
(/ (/ (* a1 a2) b1) b2)

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0305406
11333361
25002361

prune142.0ms

Filtered
79 candidates to 59 candidates (74.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh145
Picked101
Done000
Total77885

Merged error: 0b

Counts
85 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

4.5b
(* a1 (/ a2 b1))
5.9b
(/ (* a1 (/ a2 b1)) b2)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*l* associate-/r*
expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
6.0ms
(* a1 (/ a2 b1))
6.0ms
(/ (* a1 (/ a2 b1)) b2)

series50.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* a1 (/ a2 b1))
28.0ms
(/ (* a1 (/ a2 b1)) b2)

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0274278
11393235
25001235

prune99.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh077
Picked011
Done000
Total66874

Merged error: 0b

Counts
74 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* a1 a2) b1)
6.2b
(* (/ (* a1 a2) b1) (/ 1 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
20×add-sqr-sqrt
17×times-frac prod-exp
16×div-exp
14×*-un-lft-identity
13×add-cube-cbrt associate-*r*
cbrt-undiv cbrt-unprod
associate-*l*
pow1
rec-exp 1-exp associate-/r* div-inv unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 79
Calls
2 calls:
4.0ms
(/ (* a1 a2) b1)
14.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

series47.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
28.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0400443
12163355
25002343

prune287.0ms

Filtered
85 candidates to 51 candidates (60.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0b

Counts
93 → 8

regimes422.0ms

Accuracy

71.4% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03829
13829

end0.0ms

sample487.0ms

Algorithm
intervals
Results
243.0ms10000×body80valid