Details

Time bar (total: 12.0s)

sample47.0ms

Algorithm
intervals
Results
21.0ms327×body80valid

simplify91.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize15.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ (* a1 a2) (* b1 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts
26 → 26
Iterations
IterNodes
done5000
2880
1165
057

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

5.0b
(/ a1 (/ (* b1 b2) a2))
7.0b
(/ (* b1 b2) a2)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
16.0ms
(/ a1 (/ (* b1 b2) a2))
15.0ms
(/ (* b1 b2) a2)

series78.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ a1 (/ (* b1 b2) a2))
35.0ms
(/ (* b1 b2) a2)

simplify1.2s

Counts
79 → 79
Iterations
IterNodes
done5001
21266
1335
0129

prune526.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ a1 (* b1 b2))
6.2b
(* (/ a1 (* b1 b2)) a2)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
12.0ms
(/ a1 (* b1 b2))
38.0ms
(* (/ a1 (* b1 b2)) a2)

series77.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a1 (* b1 b2))
51.0ms
(* (/ a1 (* b1 b2)) a2)

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5002
2876
1209
086

prune392.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (* (* (cbrt (/ a1 (* b1 b2))) (cbrt (/ a1 (* b1 b2)))) (cbrt (/ a1 (* b1 b2)))) a2)
16.6b
(cbrt (/ a1 (* b1 b2)))
16.6b
(cbrt (/ a1 (* b1 b2)))
16.6b
(cbrt (/ a1 (* b1 b2)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*r/ div-inv
1×associate-*l* *-commutative
Counts
4 → 84
Calls
4 calls:
194.0ms
(* (* (* (cbrt (/ a1 (* b1 b2))) (cbrt (/ a1 (* b1 b2)))) (cbrt (/ a1 (* b1 b2)))) a2)
7.0ms
(cbrt (/ a1 (* b1 b2)))
4.0ms
(cbrt (/ a1 (* b1 b2)))
4.0ms
(cbrt (/ a1 (* b1 b2)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (* (* (cbrt (/ a1 (* b1 b2))) (cbrt (/ a1 (* b1 b2)))) (cbrt (/ a1 (* b1 b2)))) a2)
101.0ms
(cbrt (/ a1 (* b1 b2)))
125.0ms
(cbrt (/ a1 (* b1 b2)))
113.0ms
(cbrt (/ a1 (* b1 b2)))

simplify2.5s

Counts
96 → 96
Iterations
IterNodes
done5000
32852
2816
1265
0126

prune719.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes973.0ms

Accuracy

52.9% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 11.7b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done33
133
028

end0.0ms

sample1.3s

Algorithm
intervals
Results
485.0ms10052×body80valid