Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
7.0ms294×body80valid
6.0ms266×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: 22.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
6.3b
(/ A (* V l))
17.3b
(sqrt (/ A (* V l)))

rewrite41.0ms

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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series108.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify67.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune198.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.7b

localize8.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.5b
(* (/ 1 V) (/ A l))
17.3b
(sqrt (* (/ 1 V) (/ A l)))

rewrite69.0ms

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×associate-*r* add-cbrt-cube
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/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
32.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0424535
11846470
25001444

prune241.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ 1 V) (/ A l))
3.5b
(* (/ 1 V) (/ A l))
17.3b
(sqrt (* (/ 1 V) (/ A l)))
17.3b
(sqrt (* (/ 1 V) (/ A l)))

rewrite72.0ms

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 associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 148
Calls
4 calls:
22.0ms
(* (/ 1 V) (/ A l))
24.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ 1 V) (/ A l))
23.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify44.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0357762
11561656
25001604

prune465.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.9b

localize19.0ms

Local error

Found 4 expressions with local error:

2.0b
(sqrt (sqrt (* (/ 1 V) (/ A l))))
3.5b
(* (/ 1 V) (/ A l))
17.3b
(sqrt (* (/ 1 V) (/ A l)))
17.3b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
16×pow1 add-cbrt-cube
13×associate-*r* associate-*l*
12×sqrt-div
10×sqrt-pow1
8×div-exp prod-exp
7×sqrt-prod
6×unswap-sqr
4×cbrt-undiv expm1-log1p-u frac-times pow1/2 associate-*r/ pow-prod-down associate-*l/ cbrt-unprod log1p-expm1-u add-log-exp
2×rec-exp 1-exp div-inv
1×rem-sqrt-square *-commutative
Counts
4 → 112
Calls
4 calls:
10.0ms
(sqrt (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))
46.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (sqrt (* (/ 1 V) (/ A l))))
23.0ms
(* (/ 1 V) (/ A l))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))
79.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

simplify46.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0451665
11862589
25002505

prune400.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.9b

regimes462.0ms

Accuracy

37.1% (9.2b remaining)

Error of 13.9b against oracle of 4.6b and baseline of 19.3b

bsearch152.0ms

Steps
ItersRangePoint
8
1.4211719871959458e+151
3.269943797234914e+154
2.480087127913833e+154
9
1.5355283321276715e-145
2.9830390127446683e-137
3.621419097460427e-142
10
-9.84286763253218e-300
2.3096983861399213e-304
-5.556283518325683e-309

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05339
15339

end0.0ms

sample1.1s

Algorithm
intervals
Results
220.0ms8860×body80valid
217.0ms8822×body80nan