Details

Time bar (total: 27.5s)

sample40.0ms

Algorithm
intervals
Results
15.0ms310×body80valid

simplify73.0ms

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: 11.6b

localize18.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite21.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.8s

Counts
26 → 26
Iterations
IterNodes
done5000
2880
1165
057

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:
41.0ms
(* (/ a1 b1) (/ a2 b2))

series49.0ms

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

simplify2.9s

Counts
55 → 55
Iterations
IterNodes
done5060
34337
21094
1327
0113

prune297.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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)))

rewrite624.0ms

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)
71.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
22.0ms
(/ (/ a1 b1) (cbrt b2))
384.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt b2)
133.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
141.0ms
(/ (/ a1 b1) (cbrt b2))
82.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

simplify3.6s

Counts
1319 → 1319
Iterations
IterNodes
done5001
13756
01295

prune9.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
1.9b
(* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2))))
2.0b
(/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2))
6.0b
(* (/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
307×times-frac
250×add-sqr-sqrt
218×add-exp-log
179×cbrt-prod
145×*-un-lft-identity
143×associate-*r*
136×add-cube-cbrt
113×div-exp
81×add-cbrt-cube
65×cbrt-undiv
64×prod-exp
40×cbrt-unprod
33×unswap-sqr
26×associate-*l*
14×div-inv
8×pow1 rec-exp 1-exp
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-times associate-*l/ associate-*r/ associate-/l/
2×pow-prod-down *-commutative
1×clear-num frac-2neg pow1/3 associate-/l*
Counts
4 → 345
Calls
4 calls:
1.0ms
(cbrt b2)
126.0ms
(* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2))))
48.0ms
(/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2))
110.0ms
(* (/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2)) (/ a2 (cbrt b2)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt b2)
117.0ms
(* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2))))
184.0ms
(/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2))
101.0ms
(* (/ (* (/ a1 (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ 1 b1) (cbrt (cbrt b2)))) (cbrt b2)) (/ a2 (cbrt b2)))

simplify1.9s

Counts
357 → 357
Iterations
IterNodes
done5001
11985
0588

prune2.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes785.0ms

Accuracy

42.2% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 9.2b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done39
139
032

end0.0ms

sample1.5s

Algorithm
intervals
Results
858.0ms9894×body80valid