Details

Time bar (total: 5.4s)

sample30.0ms

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×expm1-log1p-u associate-*l* 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 frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
11.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune214.0ms

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))))

rewrite48.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 142
Calls
4 calls:
4.0ms
(/ (* V l) (cbrt A))
23.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
8.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
8.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (* V l) (cbrt A))
70.0ms
(* c0 (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
41.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
55.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify55.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04611260
121021157
250021123

prune624.0ms

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

rewrite32.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 86
Calls
4 calls:
0.0ms
(cbrt A)
4.0ms
(/ (cbrt A) (* V l))
21.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
4.0ms
(sqrt (/ (cbrt A) (* V l)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt A)
68.0ms
(/ (cbrt A) (* V l))
131.0ms
(* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l)))))
100.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify151.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0282542
1926490
24685488
35001488

prune330.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.7b

localize16.0ms

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)))

rewrite36.0ms

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 expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
2×associate-*r/
1×cbrt-div pow1/3
Counts
4 → 81
Calls
4 calls:
20.0ms
(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)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (* c0 (* (fabs (cbrt A)) (sqrt (/ (cbrt A) (* V l))))))
98.0ms
(sqrt (/ (cbrt A) (* V l)))
98.0ms
(sqrt (/ (cbrt A) (* V l)))
99.0ms
(sqrt (/ (cbrt A) (* V l)))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0255614
1630583
22033574
35001571

prune389.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.7b

regimes880.0ms

Accuracy

28% (7.9b remaining)

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

bsearch167.0ms

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
05557
15557

end0.0ms

sample900.0ms

Algorithm
intervals
Results
232.0ms8864×body80valid
222.0ms8682×body80nan