Details

Time bar (total: 12.3s)

sample57.0ms

Algorithm
intervals
Results
24.0ms326×body80valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize17.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (* a1 a2) (* b1 b2))

rewrite48.0ms

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:
46.0ms
(/ (* a1 a2) (* b1 b2))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.9s

Counts
26 → 26
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

10.6b
(* (/ a1 b1) (/ a2 b2))

rewrite68.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
63.0ms
(* (/ a1 b1) (/ a2 b2))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 2 (345.0ms)

IterNodesCost
0112581
1330563
21774487
done5000487

prune459.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
3.0b
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
7.4b
(* (/ a1 (cbrt b1)) (/ a2 b2))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
167×add-exp-log
82×prod-exp
67×add-cbrt-cube
52×div-exp
47×add-sqr-sqrt
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×add-cube-cbrt *-un-lft-identity
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×rec-exp 1-exp
6×frac-times associate-*r/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 166
Calls
4 calls:
2.0ms
(cbrt b1)
2.0ms
(cbrt b1)
181.0ms
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
61.0ms
(* (/ a1 (cbrt b1)) (/ a2 b2))

series1.5s

Counts
4 → 12
Calls
4 calls:
746.0ms
(cbrt b1)
342.0ms
(cbrt b1)
115.0ms
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
284.0ms
(* (/ a1 (cbrt b1)) (/ a2 b2))

simplify597.0ms

Counts
178 → 178
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
02502727
18402506
done50001996

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.3b
(* a1 (/ a2 b2))
6.0b
(/ (* a1 (/ a2 b2)) b1)

rewrite59.0ms

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
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
31.0ms
(* a1 (/ a2 b2))
25.0ms
(/ (* a1 (/ a2 b2)) b1)

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* a1 (/ a2 b2))
47.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify1.1s

Counts
66 → 66
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0110588
1287565
21327489
done5000487

prune324.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes1.1s

Accuracy

47.8% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 11.3b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03174
14074
done4074

end0.0ms

sample1.2s

Algorithm
intervals
Results
497.0ms10051×body80valid