Details

Time bar (total: 7.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms325×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize5.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

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

simplify854.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
055285
1162277
2862207
done5001207

prune57.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (* b1 b2))
8.7b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
28×add-cbrt-cube
12×div-exp cbrt-unprod
10×pow1
associate-*r*
cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity times-frac 1-exp
pow-prod-down
associate-/l*
expm1-log1p-u pow-flip log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 72
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
15.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (* b1 b2))
28.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify2.1s

Counts
78 → 78
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
0103800
1298658
21058504
done5002504

prune110.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 b1) b2)
8.7b
(* (* a1 a2) (/ (/ 1 b1) b2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
18×div-exp
15×prod-exp
13×associate-/l*
cbrt-undiv cbrt-unprod div-inv
pow1
rec-exp 1-exp pow-prod-down associate-/r*
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 147
Calls
2 calls:
6.0ms
(/ (/ 1 b1) b2)
20.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

series45.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (/ 1 b1) b2)
33.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: 2 (557.0ms)

IterNodesCost
02291911
16711631
222091364
done50011364

prune282.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify833.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
055285
1162277
2862207
done5001207

prune48.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

49.5% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03065
14157
done4157

end0.0ms

sample492.0ms

Algorithm
intervals
Results
240.0ms10036×body80valid