Details

Time bar (total: 8.6s)

sample43.0ms

Algorithm
intervals
Results
16.0ms310×body80valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize13.0ms

Local error

Found 1 expressions with local error:

9.6b
(/ (* a1 a2) (* b1 b2))

rewrite40.0ms

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 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:
39.0ms
(/ (* a1 a2) (* b1 b2))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (* a1 a2) (* b1 b2))

simplify823.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune76.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (/ (* a1 a2) b1) b2)
6.0b
(/ (* a1 a2) b1)

rewrite27.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
13.0ms
(/ (/ (* a1 a2) b1) b2)
11.0ms
(/ (* a1 a2) b1)

series86.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (/ (* a1 a2) b1) b2)
44.0ms
(/ (* a1 a2) b1)

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
0127843
1299808
2951720
done5001720

prune238.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (* (* a1 a2) (/ 1 b1)) b2)
6.1b
(* (* a1 a2) (/ 1 b1))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
32×add-cbrt-cube
24×prod-exp
17×div-exp
13×associate-*r*
12×times-frac cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×pow-prod-down associate-/r*
2×expm1-log1p-u associate-*r/ un-div-inv log1p-expm1-u div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
52.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)
32.0ms
(* (* a1 a2) (/ 1 b1))

series93.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)
37.0ms
(* (* a1 a2) (/ 1 b1))

simplify1.7s

Counts
81 → 81
Iterations

Useful iterations: 2 (329.0ms)

IterNodesCost
0133926
1346726
21405556
done5000556

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (pow (/ (* a1 a2) b1) 1) b2)
6.0b
(/ (* a1 a2) b1)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
28×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
19×add-exp-log
12×associate-/l*
9×div-exp add-cbrt-cube
6×associate-/r* div-inv
4×sqr-pow
3×cbrt-undiv pow-exp
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num log1p-expm1-u add-log-exp
1×pow-to-exp cbrt-unprod
Counts
2 → 88
Calls
2 calls:
30.0ms
(/ (pow (/ (* a1 a2) b1) 1) b2)
21.0ms
(/ (* a1 a2) b1)

series75.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (pow (/ (* a1 a2) b1) 1) b2)
38.0ms
(/ (* a1 a2) b1)

simplify1.5s

Counts
94 → 94
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01731277
13141020
21159928
done5001926

prune261.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes621.0ms

Accuracy

55% (4.9b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 11.0b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03070
13566
done3566

end0.0ms

sample1.1s

Algorithm
intervals
Results
461.0ms9936×body80valid