Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
7.0ms294×body80valid
6.0ms266×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)))

rewrite39.0ms

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:
24.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune179.0ms

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)))

rewrite67.0ms

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×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
31.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0418505
11840440
25001414

prune215.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.9b

localize10.0ms

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)))

rewrite66.0ms

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×frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 140
Calls
4 calls:
21.0ms
(* (/ 1 V) (/ A l))
24.0ms
(* (/ 1 V) (/ A l))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))

series155.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353726
11557620
25002568

prune449.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.9b

localize20.0ms

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

rewrite86.0ms

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 frac-times pow1/2 associate-*r/ pow-prod-down associate-*l/ cbrt-unprod add-log-exp
2×rec-exp 1-exp div-inv
1×rem-sqrt-square *-commutative
Counts
4 → 104
Calls
4 calls:
9.0ms
(sqrt (sqrt (* (/ 1 V) (/ A l))))
22.0ms
(* (/ 1 V) (/ A l))
43.0ms
(sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
80.0ms
(sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0457656
11950578
25001479

prune407.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.9b

regimes474.0ms

Accuracy

37.1% (9.2b remaining)

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

bsearch161.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05542
15542

end0.0ms

sample1.0s

Algorithm
intervals
Results
222.0ms8860×body80valid
215.0ms8822×body80nan