Details

Time bar (total: 5.1s)

sample29.0ms

Algorithm
intervals
Results
7.0ms283×body80valid
6.0ms242×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize6.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ A (* V l))))
4.3b
(/ A (* V l))
13.3b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune194.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (* V l) (cbrt A))
2.0b
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
2.6b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
13.3b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
32×add-exp-log add-sqr-sqrt sqrt-prod
24×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
18×cbrt-prod associate-*r*
16×associate-/r*
12×cbrt-undiv div-exp
8×div-inv
7×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×associate-*l* associate-/r/ unswap-sqr
2×rem-sqrt-square frac-2neg sqrt-div clear-num associate-/l*
1×sqrt-pow1 pow1/2 associate-*r/ pow-prod-down *-commutative
Counts
4 → 134
Calls
4 calls:
4.0ms
(/ (* V l) (cbrt A))
24.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
8.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
7.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (* V l) (cbrt A))
70.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
45.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
51.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify53.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04531198
120921095
250021061

prune404.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.9b
(/ (cbrt A) (* V l))
2.0b
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
13.2b
(sqrt (/ (cbrt A) (* V l)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×cbrt-prod times-frac add-cbrt-cube
10×pow1 sqrt-prod
6×associate-/l*
4×prod-exp cbrt-unprod add-log-exp
3×associate-*l* pow-prod-down
2×cbrt-undiv sqrt-div associate-*r/ div-exp div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow1/3 associate-*r* clear-num associate-/r* *-commutative
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt A)
4.0ms
(/ (cbrt A) (* V l))
20.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt A)
72.0ms
(/ (cbrt A) (* V l))
136.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
102.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify159.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0274502
1918450
24674448
35001448

prune305.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.7b

localize19.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l))))))
13.2b
(sqrt (/ (cbrt A) (* V l)))
13.2b
(sqrt (/ (cbrt A) (* V l)))
13.2b
(sqrt (/ (cbrt A) (* V l)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
18×times-frac
16×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
10×cbrt-prod
7×pow1
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
2×associate-*r/
1×cbrt-div pow1/3
Counts
4 → 73
Calls
4 calls:
19.0ms
(cbrt (* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l))))))
4.0ms
(sqrt (/ (cbrt A) (* V l)))
4.0ms
(sqrt (/ (cbrt A) (* V l)))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l))))))
100.0ms
(sqrt (/ (cbrt A) (* V l)))
101.0ms
(sqrt (/ (cbrt A) (* V l)))
102.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0251564
1612533
21969524
35001521

prune358.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 4.7b

regimes868.0ms

Accuracy

28% (7.9b remaining)

Error of 11.0b against oracle of 3.1b and baseline of 14.1b

bsearch176.0ms

Steps
ItersRangePoint
10
8.295241847765318e-237
3.3892928919237245e-226
8.379982210630947e-237
9
-3.724320909280434e-218
-2.1092378700179712e-225
-3.2698369089058447e-220
8
-1.8212635929712337e-06
-6.956871504263554e-09
-7.2494473030279645e-09

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05658
15658

end0.0ms

sample877.0ms

Algorithm
intervals
Results
234.0ms8864×body80valid
222.0ms8682×body80nan