Details

Time bar (total: 12.4s)

sample44.0ms

Algorithm
intervals
Results
21.0ms310×body80valid

simplify39.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
21.0ms
(/ (* a1 a2) (* b1 b2))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts
26 → 26
Iterations
IterNodes
done5000
21084
1168
057

prune134.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
31.0ms
(* (/ a1 b1) (/ a2 b2))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.6s

Counts
55 → 55
Iterations
IterNodes
done5000
21726
1331
0113

prune337.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.4b
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
6.0b
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
79×add-sqr-sqrt
49×*-un-lft-identity add-cube-cbrt
45×add-exp-log
35×add-cbrt-cube
25×associate-*l*
22×associate-*r*
19×cbrt-undiv div-exp
18×cbrt-prod
11×prod-exp cbrt-unprod
10×div-inv
9×unswap-sqr
7×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
21.0ms
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
67.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

series838.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt b2)
316.0ms
(cbrt b2)
201.0ms
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
79.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

simplify1.0s

Counts
174 → 174
Iterations
IterNodes
done5000
1834
0259

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.5b
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1))
6.0b
(* (* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1)) (/ a2 (cbrt b2)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
162×add-exp-log
74×prod-exp
71×add-cbrt-cube
55×div-exp
42×add-sqr-sqrt
38×cbrt-unprod
37×times-frac
35×associate-*r*
30×*-un-lft-identity
28×cbrt-undiv add-cube-cbrt
15×cbrt-prod
11×pow1
9×rec-exp 1-exp
8×associate-*l*
7×frac-times associate-*l/
6×unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*r/ log1p-expm1-u add-log-exp
3×un-div-inv div-inv
2×pow1/3 *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
50.0ms
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1))
133.0ms
(* (* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1)) (/ a2 (cbrt b2)))

series998.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt b2)
329.0ms
(cbrt b2)
230.0ms
(* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1))
108.0ms
(* (* (/ a1 (* (cbrt b2) (cbrt b2))) (/ 1 b1)) (/ a2 (cbrt b2)))

simplify1.1s

Counts
181 → 181
Iterations
IterNodes
done5001
1919
0268

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes854.0ms

Accuracy

47.5% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 9.9b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done40
140
033

end0.0ms

sample899.0ms

Algorithm
intervals
Results
419.0ms9894×body80valid