Details

Time bar (total: 25.5s)

sample45.0ms

Algorithm
intervals
Results
29.0ms327×body80valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
779
679
578
471
358
235
116
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize10.0ms

Local error

Found 1 expressions with local error:

10.5b
(/ (* a1 a2) (* b1 b2))

rewrite19.0ms

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:
19.0ms
(/ (* a1 a2) (* b1 b2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.6s

Counts
26 → 26
Iterations
IterNodes
37493
2876
1163
057

prune317.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (* a1 a2) b1)
7.5b
(/ (/ (* a1 a2) b1) b2)

rewrite25.0ms

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:
14.0ms
(/ (* a1 a2) b1)
10.0ms
(/ (/ (* a1 a2) b1) b2)

series54.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a1 a2) b1)
32.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
34279
2885
1302
0126

prune802.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
1.2b
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
1.6b
(/ (/ a2 (cbrt b1)) (cbrt b2))
4.7b
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
317×add-sqr-sqrt
269×*-un-lft-identity add-cube-cbrt
265×cbrt-prod
136×associate-*r*
120×add-exp-log
67×add-cbrt-cube
50×prod-exp cbrt-unprod
41×cbrt-undiv div-exp
25×associate-/l*
17×div-inv
14×unswap-sqr
7×associate-/r* associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 426
Calls
4 calls:
1.0ms
(cbrt b2)
26.0ms
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
16.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
171.0ms
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series1.0s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt b2)
543.0ms
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
132.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
94.0ms
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify1.2s

Counts
438 → 438
Iterations
IterNodes
12022
0608

prune5.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.6b
(/ (/ a2 (cbrt b1)) (cbrt b2))
4.7b
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b2))) (/ (cbrt a1) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
315×add-exp-log
266×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
258×cbrt-prod
144×prod-exp cbrt-unprod
136×associate-*r*
132×add-cbrt-cube
117×cbrt-undiv div-exp
22×associate-/l*
15×div-inv
9×pow1
6×associate-/r*
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/
2×pow1/3
1×clear-num frac-2neg associate-*l* *-commutative associate-/l/
Counts
4 → 455
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
11.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
149.0ms
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b2))) (/ (cbrt a1) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series788.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt b2)
227.0ms
(cbrt b2)
144.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
110.0ms
(* (* (/ (* (cbrt a1) (cbrt a1)) (* (cbrt b1) (cbrt b2))) (/ (cbrt a1) (* (cbrt b1) (cbrt b2)))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify959.0ms

Counts
467 → 467
Iterations
IterNodes
12145
0650

prune7.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes702.0ms

Accuracy

38% (3.8b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
246
146
040

end0.0ms

sample1.3s

Algorithm
intervals
Results
914.0ms10016×body80valid