Details

Time bar (total: 10.1s)

sample46.0ms

Algorithm
intervals
Results
17.0ms340×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done79
479
367
237
116
07

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize25.0ms

Local error

Found 1 expressions with local error:

10.7b
(/ (* a1 a2) (* b1 b2))

rewrite18.0ms

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:
17.0ms
(/ (* a1 a2) (* b1 b2))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.3s

Counts
26 → 26
Iterations
IterNodes
done5000
21084
1168
057

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

4.8b
(/ (* a1 a2) b1)
6.0b
(/ (/ (* a1 a2) b1) b2)

rewrite19.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
7.0ms
(/ (* a1 a2) b1)
10.0ms
(/ (/ (* a1 a2) b1) b2)

series75.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a1 a2) b1)
45.0ms
(/ (/ (* a1 a2) b1) b2)

simplify776.0ms

Counts
79 → 79
Iterations
IterNodes
done5002
21667
1316
0126

prune513.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.6b
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
5.6b
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ 1 (* (cbrt b2) b1)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
167×add-exp-log
82×prod-exp
64×add-cbrt-cube
52×div-exp
36×cbrt-unprod
26×cbrt-undiv
11×add-sqr-sqrt
10×rec-exp 1-exp
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×cbrt-prod pow1
5×times-frac associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l* unswap-sqr
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
22.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
95.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ 1 (* (cbrt b2) b1)))

series863.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt b2)
269.0ms
(cbrt b2)
233.0ms
(/ (* a1 a2) (* (cbrt b2) (cbrt b2)))
90.0ms
(* (/ (* a1 a2) (* (cbrt b2) (cbrt b2))) (/ 1 (* (cbrt b2) b1)))

simplify586.0ms

Counts
139 → 139
Iterations
IterNodes
done5000
1661
0189

prune601.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

4.8b
(/ (* a1 a2) b1)
6.0b
(* (/ (* a1 a2) b1) (/ 1 b2))

rewrite70.0ms

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×associate-*r* add-cube-cbrt
9×cbrt-undiv cbrt-unprod
7×associate-*l*
4×pow1
3×rec-exp associate-/r* 1-exp div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l*
Counts
2 → 79
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
45.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

series70.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a1 a2) b1)
43.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

simplify2.3s

Counts
85 → 85
Iterations
IterNodes
done5000
23318
1425
0138

prune407.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

Accuracy

75.1% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 10.2b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done36
336
233
130
024

end0.0ms

sample979.0ms

Algorithm
intervals
Results
445.0ms10080×body80valid