Details

Time bar (total: 18.8s)

sample88.0ms

Algorithm
intervals
Results
33.0ms245×body80nan
29.0ms288×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize16.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
5.3b
(/ A (* V l))
19.9b
(sqrt (/ A (* V l)))

rewrite46.0ms

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:
27.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* c0 (sqrt (/ A (* V l))))
34.0ms
(/ A (* V l))
52.0ms
(sqrt (/ A (* V l)))

simplify899.0ms

Counts
84 → 84
Iterations
IterNodes
32325
2667
1224
0114

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.5b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.9b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
19.9b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite121.0ms

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 insert-posit16 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 → 118
Calls
4 calls:
1.0ms
(cbrt A)
61.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
27.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
31.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt A)
105.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
69.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
73.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.9s

Counts
130 → 130
Iterations
IterNodes
36775
21887
1542
0198

prune1.7s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.7b

localize25.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ (/ A V) l)))
4.0b
(/ (/ A V) l)
19.9b
(sqrt (/ (/ A V) l))

rewrite52.0ms

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* insert-posit16 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 → 200
Calls
3 calls:
24.0ms
(* c0 (sqrt (/ (/ A V) l)))
16.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

series151.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* c0 (sqrt (/ (/ A V) l)))
31.0ms
(/ (/ A V) l)
43.0ms
(sqrt (/ (/ A V) l))

simplify1.5s

Counts
209 → 209
Iterations
IterNodes
33390
21231
1583
0318

prune3.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
2.0ms
(cbrt V)

series1.1s

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt A)
288.0ms
(cbrt A)
279.0ms
(cbrt V)
278.0ms
(cbrt V)

simplify903.0ms

Counts
68 → 68
Iterations
IterNodes
52627
4883
3376
2174
179
048

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes823.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
222
122
019

end0.0ms

sample2.4s

Algorithm
intervals
Results
927.0ms8895×body80nan
863.0ms8917×body80valid