Details

Time bar (total: 25.6s)

sample111.0ms

Algorithm
intervals
Results
48.0ms280×body80valid
32.0ms279×body80nan

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize23.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
14.0b
(sqrt (/ A (* V l)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 75
Calls
3 calls:
22.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
58.0ms
(sqrt (/ A (* V l)))

simplify946.0ms

Counts
84 → 84
Iterations
IterNodes
32325
2667
1224
0114

prune952.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.8b

localize40.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
4.7b
(/ A (* V l))
14.0b
(sqrt (/ A (* V l)))
14.0b
(sqrt (/ A (* V l)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity times-frac add-cube-cbrt
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 90
Calls
4 calls:
14.0ms
(/ A (* V l))
14.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))
12.0ms
(sqrt (/ A (* V l)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ A (* V l))
37.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))
56.0ms
(sqrt (/ A (* V l)))

simplify4.8s

Counts
102 → 102
Iterations
IterNodes
44937
31435
2398
1140
078

prune1.5s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 4 expressions with local error:

5.9b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
16.6b
(cbrt (/ A (* V l)))
16.6b
(cbrt (/ A (* V l)))
16.6b
(cbrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×pow1
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×sqrt-pow1 times-frac pow1/3
7×cbrt-div
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-div div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times rem-sqrt-square pow-plus pow1/2 associate-*l/ associate-*r/ sqrt-prod
Counts
4 → 82
Calls
4 calls:
8.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
101.0ms
(cbrt (/ A (* V l)))
97.0ms
(cbrt (/ A (* V l)))
101.0ms
(cbrt (/ A (* V l)))

simplify5.4s

Counts
94 → 94
Iterations
IterNodes
56939
41930
3574
2248
1154
0100

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.8b

localize39.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
13.5b
(cbrt (* V l))
13.5b
(cbrt (* V l))
16.6b
(cbrt (/ A (* V l)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×times-frac
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv div-exp div-inv
1×cbrt-div clear-num associate-/r* frac-2neg prod-exp cbrt-unprod
Counts
4 → 67
Calls
4 calls:
12.0ms
(/ A (* V l))
3.0ms
(cbrt (* V l))
3.0ms
(cbrt (* V l))
4.0ms
(cbrt (/ A (* V l)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ A (* V l))
117.0ms
(cbrt (* V l))
100.0ms
(cbrt (* V l))
95.0ms
(cbrt (/ A (* V l)))

simplify4.6s

Counts
79 → 79
Iterations
IterNodes
46695
31953
2593
1231
0118

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

regimes1.2s

Accuracy

30.5% (5.4b remaining)

Error of 9.7b against oracle of 4.3b and baseline of 12.1b

bsearch3.0ms

simplify11.0ms

Iterations
IterNodes
240
140
033

end0.0ms

sample2.3s

Algorithm
intervals
Results
825.0ms8921×body80valid
810.0ms9004×body80nan