Details

Time bar (total: 6.5m)

sample40.0ms

Algorithm
intervals
Results
16.0ms320×body80valid

simplify59.0ms

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: 15.2b

localize9.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (* a1 a2) (* b1 b2))

rewrite11.0ms

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

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.4s

Counts
26 → 26
Iterations
IterNodes
done5000
2880
1165
057

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

11.1b
(* (/ a1 b1) (/ a2 b2))

rewrite24.0ms

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×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
22.0ms
(* (/ a1 b1) (/ a2 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.7s

Counts
55 → 55
Iterations
IterNodes
done5060
34337
21094
1327
0113

prune311.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
2.1b
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
2.4b
(/ (/ a1 b1) (cbrt b2))
5.8b
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite552.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 1307
Calls
4 calls:
1.0ms
(cbrt b2)
50.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
11.0ms
(/ (/ a1 b1) (cbrt b2))
338.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt b2)
122.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
88.0ms
(/ (/ a1 b1) (cbrt b2))
90.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

simplify3.1s

Counts
1319 → 1319
Iterations
IterNodes
done5001
13756
01295

prune9.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.9b
(/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))
0.9b
(/ (/ a1 (cbrt b1)) (cbrt (cbrt b2)))
5.8b
(* (/ (/ (/ 1 (* (cbrt b1) (cbrt b1))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))) (/ a2 (cbrt b2)))

rewrite26.1s

Algorithm
rewrite-expression-head
Rules
202073×times-frac
85401×cbrt-prod
72410×add-sqr-sqrt
69798×*-un-lft-identity
69672×add-cube-cbrt
38949×associate-*l*
8121×div-inv
444×unswap-sqr
439×add-exp-log
290×div-exp
211×associate-/r*
146×cbrt-undiv
117×add-cbrt-cube
90×prod-exp
42×cbrt-unprod
34×associate-/r/
28×associate-/l*
22×associate-*r*
16×rec-exp 1-exp
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 → 41227
Calls
4 calls:
1.0ms
(cbrt b2)
90.0ms
(/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))
15.0ms
(/ (/ a1 (cbrt b1)) (cbrt (cbrt b2)))
18.4s
(* (/ (/ (/ 1 (* (cbrt b1) (cbrt b1))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))) (/ a2 (cbrt b2)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt b2)
177.0ms
(/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))
193.0ms
(/ (/ a1 (cbrt b1)) (cbrt (cbrt b2)))
77.0ms
(* (/ (/ (/ 1 (* (cbrt b1) (cbrt b1))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))) (/ a2 (cbrt b2)))

simplify24.3s

Counts
41239 → 41239
Iterations
IterNodes
done19938
019938

prune5.3m

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes594.0ms

Accuracy

40.4% (4.9b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 8.3b

bsearch1.0ms

simplify10.0ms

Iterations
IterNodes
done56
156
045

end0.0ms

sample623.0ms

Algorithm
intervals
Results
310.0ms9990×body80valid