Details

Time bar (total: 3.6s)

sample42.0ms

Algorithm
intervals
Results
14.0ms285×body80valid
11.0ms257×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1144
2144

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize7.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ A (* V l))))
3.7b
(/ A (* V l))
14.2b
(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)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify68.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune184.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

2.0b
(* (sqrt (/ A (* V l))) c0)
3.7b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*l* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
11.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* (sqrt (/ A (* V l))) c0)
20.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify103.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0242335
1912309
24625307
35002306

prune193.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (* V l) A))
2.0b
(* (sqrt (/ 1 (/ (* V l) A))) c0)
3.7b
(/ (* V l) A)
14.2b
(sqrt (/ 1 (/ (* V l) A)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
65×add-sqr-sqrt
55×sqrt-prod
54×*-un-lft-identity
52×add-cube-cbrt
32×add-exp-log
29×associate-*l*
20×add-cbrt-cube
14×div-exp div-inv
10×associate-/r*
9×pow1
7×cbrt-undiv
5×prod-exp
4×associate-/l* add-log-exp unswap-sqr
3×rem-sqrt-square rec-exp sqrt-pow1 1-exp associate-*r* associate-/r/ cbrt-unprod
2×pow-flip frac-2neg sqrt-div clear-num inv-pow
1×pow1/2 pow-prod-down associate-*l/ *-commutative
Counts
4 → 166
Calls
4 calls:
6.0ms
(/ 1 (/ (* V l) A))
25.0ms
(* (sqrt (/ 1 (/ (* V l) A))) c0)
3.0ms
(/ (* V l) A)
7.0ms
(sqrt (/ 1 (/ (* V l) A)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ (* V l) A))
74.0ms
(* (sqrt (/ 1 (/ (* V l) A))) c0)
19.0ms
(/ (* V l) A)
46.0ms
(sqrt (/ 1 (/ (* V l) A)))

simplify52.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04521036
11842920
25001817

prune349.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 3 expressions with local error:

2.1b
(/ c0 (sqrt (/ (* V l) A)))
3.7b
(/ (* V l) A)
13.8b
(sqrt (/ (* V l) A))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
35×sqrt-prod
31×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
13×associate-/r*
10×add-exp-log add-cbrt-cube
7×div-inv
4×pow1 associate-/l*
3×cbrt-undiv div-exp add-log-exp
2×frac-2neg sqrt-div clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp associate-/r/ cbrt-unprod
Counts
3 → 95
Calls
3 calls:
5.0ms
(/ c0 (sqrt (/ (* V l) A)))
3.0ms
(/ (* V l) A)
3.0ms
(sqrt (/ (* V l) A))

series144.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ c0 (sqrt (/ (* V l) A)))
24.0ms
(/ (* V l) A)
52.0ms
(sqrt (/ (* V l) A))

simplify116.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0299648
11095608
24766596
35001596

prune238.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

regimes326.0ms

Accuracy

38.2% (8.0b remaining)

Error of 14.3b against oracle of 6.4b and baseline of 19.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433
14433

end0.0ms

sample1.3s

Algorithm
intervals
Results
439.0ms8855×body80valid
383.0ms8898×body80nan