Details

Time bar (total: 12.6s)

sample44.0ms

Algorithm
intervals
Results
16.0ms315×body80valid

simplify43.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize11.0ms

Local error

Found 2 expressions with local error:

5.1b
(* a1 (/ a2 (* b1 b2)))
6.1b
(/ a2 (* b1 b2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
21.0ms
(* a1 (/ a2 (* b1 b2)))
12.0ms
(/ a2 (* b1 b2))

series76.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* a1 (/ a2 (* b1 b2)))
25.0ms
(/ a2 (* b1 b2))

simplify681.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
2930
1204
084

prune274.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

5.1b
(* a1 (* (/ 1 b1) (/ a2 b2)))
5.2b
(* (/ 1 b1) (/ a2 b2))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×unswap-sqr
5×associate-*r/
4×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u frac-times associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
49.0ms
(* a1 (* (/ 1 b1) (/ a2 b2)))
19.0ms
(* (/ 1 b1) (/ a2 b2))

series73.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* a1 (* (/ 1 b1) (/ a2 b2)))
21.0ms
(* (/ 1 b1) (/ a2 b2))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5000
22973
1481
0157

prune413.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
4.9b
(* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2))
5.1b
(* a1 (* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
36×add-cbrt-cube
27×prod-exp cbrt-unprod
23×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×pow1 times-frac
15×cbrt-prod
10×cbrt-undiv div-exp
9×pow-prod-down
6×associate-*l/
5×associate-*r/
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-times pow1/3 *-commutative
1×div-inv
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
46.0ms
(* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2))
152.0ms
(* a1 (* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt a2)
256.0ms
(cbrt a2)
80.0ms
(* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2))
73.0ms
(* a1 (* (* (/ (cbrt a2) b1) (cbrt a2)) (/ (cbrt a2) b2)))

simplify3.0s

Counts
122 → 122
Iterations
IterNodes
done5000
23670
1511
0165

prune614.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

5.1b
(* a1 (pow (/ (/ a2 b2) b1) 1))
5.1b
(/ (/ a2 b2) b1)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
93×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
47×associate-*r*
46×unpow-prod-down
19×add-exp-log
13×associate-/l*
9×add-cbrt-cube div-inv
6×div-exp
5×prod-exp unswap-sqr
3×pow1 cbrt-undiv associate-/r* associate-*l* pow-exp
2×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×pow-to-exp clear-num frac-2neg pow-prod-down *-commutative cbrt-unprod associate-/l/
Counts
2 → 144
Calls
2 calls:
77.0ms
(* a1 (pow (/ (/ a2 b2) b1) 1))
19.0ms
(/ (/ a2 b2) b1)

series79.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* a1 (pow (/ (/ a2 b2) b1) 1))
23.0ms
(/ (/ a2 b2) b1)

simplify1.7s

Counts
150 → 150
Iterations
IterNodes
done5001
24208
1817
0287

prune854.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes856.0ms

Accuracy

56.9% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 11.3b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done32
132
027

end0.0ms

sample1.1s

Algorithm
intervals
Results
415.0ms10024×body80valid