Details

Time bar (total: 35.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify80.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize8.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* 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 pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
18.0ms
(/ (* a1 a2) (* b1 b2))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.6s

Counts
24 → 24
Iterations
IterNodes
done5001
2810
1159
055

prune197.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

10.1b
(* (/ a1 b1) (/ a2 b2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
36.0ms
(* (/ a1 b1) (/ a2 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (/ a1 b1) (/ a2 b2))

simplify3.0s

Counts
53 → 53
Iterations
IterNodes
done5056
34545
21110
1329
0111

prune417.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
2.0b
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
2.8b
(/ (/ a1 b1) (cbrt b2))
6.0b
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
2947×times-frac
1477×add-sqr-sqrt
1323×*-un-lft-identity add-cube-cbrt
1094×cbrt-prod
496×associate-*l*
102×div-inv
95×associate-/l*
50×add-exp-log
33×unswap-sqr
29×add-cbrt-cube
25×cbrt-undiv div-exp
22×associate-*r*
12×associate-/r*
8×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
2×clear-num frac-2neg associate-/l/
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 1299
Calls
4 calls:
1.0ms
(cbrt b2)
50.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
12.0ms
(/ (/ a1 b1) (cbrt b2))
374.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt b2)
143.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
145.0ms
(/ (/ a1 b1) (cbrt b2))
117.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

simplify3.3s

Counts
1311 → 1311
Iterations
IterNodes
done5001
13689
01287

prune10.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.8b
(* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2)))
6.6b
(* (/ (/ a1 1) (cbrt (* (cbrt b2) (cbrt b2)))) (* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
2229×times-frac
1240×add-sqr-sqrt
1229×cbrt-prod
947×*-un-lft-identity
929×add-cube-cbrt
798×associate-*l*
362×add-exp-log
205×div-exp
115×add-cbrt-cube
112×prod-exp
91×cbrt-undiv
70×div-inv
66×unswap-sqr
59×cbrt-unprod
23×1-exp associate-*r*
11×pow1
10×rec-exp
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
2×pow1/3 *-commutative
Counts
4 → 1037
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
548.0ms
(* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2)))
305.0ms
(* (/ (/ a1 1) (cbrt (* (cbrt b2) (cbrt b2)))) (* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2))))

series1.1s

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt b2)
260.0ms
(cbrt b2)
424.0ms
(* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2)))
137.0ms
(* (/ (/ a1 1) (cbrt (* (cbrt b2) (cbrt b2)))) (* (/ (/ (/ 1 b1) (cbrt b2)) (cbrt (cbrt b2))) (/ a2 (cbrt b2))))

simplify2.5s

Counts
1049 → 1049
Iterations
IterNodes
done5001
13458
01001

prune9.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes774.0ms

Accuracy

45.4% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 9.7b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done39
139
032

end0.0ms

sample780.0ms

Algorithm
intervals
Results
370.0ms9894×body80valid