Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
8.0ms242×body80nan
7.0ms283×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))

rewrite17.0ms

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:
45.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune196.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

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))))

rewrite49.0ms

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))
25.0ms
(* 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))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (* V l) (cbrt A))
66.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
47.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
52.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify55.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04531198
120921095
250021061

prune394.0ms

Filtered
146 candidates to 111 candidates (76.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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 div-exp div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow1/3 associate-*r/ associate-*r* associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt A)
4.0ms
(/ (cbrt A) (* V l))
25.0ms
(* c0 (* (sqrt (/ (cbrt A) (* V l))) (fabs (cbrt A))))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt A)
69.0ms
(/ (cbrt A) (* V l))
134.0ms
(* c0 (* (sqrt (/ (cbrt A) (* V l))) (fabs (cbrt A))))
97.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify153.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0275504
1911452
24683450
35002450

prune294.0ms

Filtered
90 candidates to 71 candidates (78.9%)
Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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
1×cbrt-div pow1/3 associate-*r/ associate-*l/
Counts
4 → 73
Calls
4 calls:
22.0ms
(cbrt (* c0 (* (sqrt (/ (cbrt A) (* V l))) (fabs (cbrt A)))))
3.0ms
(sqrt (/ (cbrt A) (* V l)))
3.0ms
(sqrt (/ (cbrt A) (* V l)))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt (* c0 (* (sqrt (/ (cbrt A) (* V l))) (fabs (cbrt A)))))
104.0ms
(sqrt (/ (cbrt A) (* V l)))
99.0ms
(sqrt (/ (cbrt A) (* V l)))
98.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0252564
1611533
21968524
35001521

prune349.0ms

Filtered
85 candidates to 72 candidates (84.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.7b

regimes789.0ms

Accuracy

28% (7.9b remaining)

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

bsearch168.0ms

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

sample923.0ms

Algorithm
intervals
Results
233.0ms8864×body80valid
230.0ms8682×body80nan