Details

Time bar (total: 30.1s)

sample93.0ms

Algorithm
intervals
Results
32.0ms282×body80nan
31.0ms278×body80valid

simplify30.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
30.0ms
(* c0 (sqrt (/ A (* V l))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize29.0ms

Local error

Found 3 expressions with local error:

17.5b
(sqrt (/ A (* V l)))
4.4b
(/ A (* V l))
1.5b
(* c0 (sqrt (/ A (* V l))))

rewrite43.0ms

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:
Slowest
29.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
61.0ms
(* c0 (sqrt (/ A (* V l))))
35.0ms
(sqrt (/ A (* V l)))
26.0ms
(/ A (* V l))

simplify3.1s

Counts
95 → 84
Calls
95 calls:
Slowest
359.0ms
(* (* (* c0 (sqrt (/ A (* V l)))) (* c0 (sqrt (/ A (* V l))))) (* c0 (sqrt (/ A (* V l)))))
354.0ms
(* (* (/ A (* V l)) (/ A (* V l))) (/ A (* V l)))
214.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
182.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
144.0ms
(exp (* c0 (sqrt (/ A (* V l)))))

prune836.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 3 expressions with local error:

17.5b
(sqrt (/ (/ A V) l))
3.7b
(/ (/ A V) l)
1.5b
(* c0 (sqrt (/ (/ A V) l)))

rewrite46.0ms

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:
Slowest
20.0ms
(* c0 (sqrt (/ (/ A V) l)))
7.0ms
(/ (/ A V) l)
4.0ms
(sqrt (/ (/ A V) l))

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(* c0 (sqrt (/ (/ A V) l)))
41.0ms
(sqrt (/ (/ A V) l))
22.0ms
(/ (/ A V) l)

simplify11.5s

Counts
292 → 209
Calls
292 calls:
Slowest
1.0s
(/ (/ (* (* A A) A) (* (* V V) V)) (* (* l l) l))
446.0ms
(/ (* (* (/ A V) (/ A V)) (/ A V)) (* (* l l) l))
420.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l))))
387.0ms
(* (* (* c0 (sqrt (/ (/ A V) l))) (* c0 (sqrt (/ (/ A V) l)))) (* c0 (sqrt (/ (/ A V) l))))
365.0ms
(* c0 (sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l)))))

prune2.3s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.5b
(cbrt V)
0.5b
(cbrt V)

rewrite6.0ms

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:
Slowest
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt V)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
288.0ms
(cbrt V)
285.0ms
(cbrt A)
256.0ms
(cbrt A)
247.0ms
(cbrt V)

simplify1.0s

Counts
76 → 68
Calls
76 calls:
Slowest
169.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
149.0ms
(* (pow (* V -1) 1/3) (cbrt -1))
144.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
125.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
32.0ms
(pow (/ 1 A) -1/3)

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×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 → 62
Calls
4 calls:
Slowest
2.0ms
(cbrt (cbrt V))
2.0ms
(cbrt (cbrt V))
2.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
407.0ms
(cbrt (cbrt V))
345.0ms
(cbrt (cbrt V))
276.0ms
(cbrt A)
265.0ms
(cbrt A)

simplify2.3s

Counts
88 → 74
Calls
88 calls:
Slowest
856.0ms
(* (pow (* V -1) 1/9) (pow (cbrt -1) 1/3))
714.0ms
(* (pow (* V -1) 1/9) (pow (cbrt -1) 1/3))
124.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
122.0ms
(* (pow (* A -1) 1/3) (cbrt -1))
37.0ms
(* (* (cbrt (cbrt V)) (cbrt (cbrt V))) (cbrt (cbrt V)))

prune1.2s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

regimes719.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch6.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.3s8916×body80valid
841.0ms8965×body80nan