Details

Time bar (total: 14.6s)

sample90.0ms

Algorithm
intervals
Results
19.0ms292×body80valid
18.0ms303×body80nan

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
6.3b
(/ A (* V l))
13.2b
(sqrt (/ A (* V l)))

rewrite67.0ms

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* 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 → 72
Calls
3 calls:
53.0ms
(* c0 (sqrt (/ A (* V l))))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* c0 (sqrt (/ A (* V l))))
34.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify2.2s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0111705
1225655
2895611
34743605
done5001605

prune495.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.9b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.2b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 *-commutative sqrt-prod div-inv
1×pow1/2 pow1/3
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt A)
75.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
31.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
21.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt A)
91.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
60.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
73.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01941812
15581721
232981337
done50001034

prune737.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A l) V)))
4.9b
(/ (/ A l) V)
13.2b
(sqrt (/ (/ A l) V))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×*-un-lft-identity add-cube-cbrt
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-cbrt-cube add-exp-log
6×pow1
4×unswap-sqr
3×expm1-log1p-u cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* log1p-expm1-u add-log-exp
2×sqrt-div
1×clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
39.0ms
(* c0 (sqrt (/ (/ A l) V)))
18.0ms
(/ (/ A l) V)
12.0ms
(sqrt (/ (/ A l) V))

series117.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* c0 (sqrt (/ (/ A l) V)))
22.0ms
(/ (/ A l) V)
35.0ms
(sqrt (/ (/ A l) V))

simplify1.0s

Counts
206 → 206
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03162554
16172362
221422270
done50002240

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt V)
284.0ms
(cbrt V)
244.0ms
(cbrt A)
269.0ms
(cbrt A)

simplify898.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
046284
179272
2215244
3668232
41995232
done5000232

prune534.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes740.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.5s

Algorithm
intervals
Results
505.0ms8898×body80valid
451.0ms8709×body80nan