Details

Time bar (total: 59.7s)

sample69.0ms

Algorithm
intervals
Results
27.0ms284×body80nan
22.0ms294×body80valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
14.0ms
(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 3 expressions with local error:

14.8b
(sqrt (/ A (* V l)))
5.8b
(/ A (* V l))
2.0b
(* c0 (sqrt (/ A (* V l))))

rewrite69.0ms

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
35.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
88.0ms
(* c0 (sqrt (/ A (* V l))))
54.0ms
(sqrt (/ A (* V l)))
34.0ms
(/ A (* V l))

simplify3.3s

Counts
95 → 84
Calls
95 calls:
Slowest
459.0ms
(* (* (/ A (* V l)) (/ A (* V l))) (/ A (* V l)))
445.0ms
(* (* (* c0 (sqrt (/ A (* V l)))) (* c0 (sqrt (/ A (* V l))))) (* c0 (sqrt (/ A (* V l)))))
259.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
161.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
133.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))

prune946.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.4b

localize32.0ms

Local error

Found 4 expressions with local error:

14.8b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
3.8b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
2.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b
(cbrt A)

rewrite112.0ms

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:
Slowest
51.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
29.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
28.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)

series484.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
266.0ms
(cbrt A)
92.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
66.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
60.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify17.8s

Counts
141 → 130
Calls
141 calls:
Slowest
763.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt 1) (* (cbrt l) (cbrt l))))
588.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
522.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
488.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
394.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))

prune1.7s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 3 expressions with local error:

14.8b
(sqrt (* (/ 1 V) (/ A l)))
4.4b
(* (/ 1 V) (/ A l))
2.0b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×add-cbrt-cube associate-*r*
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×expm1-log1p-u frac-times pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
Slowest
38.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
27.0ms
(* (/ 1 V) (/ A l))
21.0ms
(sqrt (* (/ 1 V) (/ A l)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
74.0ms
(sqrt (* (/ 1 V) (/ A l)))
26.0ms
(* (/ 1 V) (/ A l))

simplify10.8s

Counts
119 → 110
Calls
119 calls:
Slowest
946.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
556.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
518.0ms
(* (/ 1 V) (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))))
449.0ms
(* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l))))
342.0ms
(* (/ 1 V) (/ (sqrt A) (* (cbrt l) (cbrt l))))

prune1.3s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 5.8b

localize25.0ms

Local error

Found 4 expressions with local error:

14.8b
(sqrt (* (/ 1 V) (/ A l)))
14.8b
(sqrt (* (/ 1 V) (/ A l)))
4.4b
(* (/ 1 V) (/ A l))
4.4b
(* (/ 1 V) (/ A l))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×expm1-log1p-u frac-times rec-exp sqrt-pow1 1-exp pow-prod-down associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×pow1/2 *-commutative sqrt-prod
Counts
4 → 152
Calls
4 calls:
Slowest
28.0ms
(* (/ 1 V) (/ A l))
27.0ms
(* (/ 1 V) (/ A l))
15.0ms
(sqrt (* (/ 1 V) (/ A l)))
14.0ms
(sqrt (* (/ 1 V) (/ A l)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(sqrt (* (/ 1 V) (/ A l)))
60.0ms
(sqrt (* (/ 1 V) (/ A l)))
33.0ms
(* (/ 1 V) (/ A l))
21.0ms
(* (/ 1 V) (/ A l))

simplify15.5s

Counts
182 → 164
Calls
182 calls:
Slowest
604.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
524.0ms
(* (/ 1 V) (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))))
517.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
495.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
467.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))

prune2.5s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.8b

regimes1.3s

Accuracy

47.2% (7.9b remaining)

Error of 12.3b against oracle of 4.4b and baseline of 19.4b

bsearch26.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s8897×body80valid
872.0ms9120×body80nan