Details

Time bar (total: 5.0s)

sample38.0ms

Algorithm
intervals
Results
8.0ms298×body80valid
7.0ms258×body80nan

simplify6.0ms

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: 21.5b

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
5.8b
(/ A (* V l))
16.1b
(sqrt (/ A (* V l)))

rewrite43.0ms

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:
26.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ A (* V l))))
18.0ms
(/ A (* V l))
30.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune197.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.8b
(* (/ 1 V) (/ A l))
16.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite73.0ms

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:
35.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
23.0ms
(* (/ 1 V) (/ A l))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
17.0ms
(* (/ 1 V) (/ A l))
48.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0418505
11840440
25001414

prune242.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
1.7b
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
2.3b
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
16.1b
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
19×add-sqr-sqrt times-frac
17×add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
9×pow1 cbrt-undiv div-exp
6×sqrt-div
5×associate-*r/ prod-exp cbrt-unprod div-inv associate-/l*
4×associate-*r* add-log-exp
3×cbrt-prod associate-*l* associate-/r*
2×frac-times sqrt-pow1 pow-prod-down associate-*l/ sqrt-prod
1×frac-2neg pow1/2 pow1/3 clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt l)
138.0ms
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
21.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
45.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt l)
49.0ms
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
119.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
30.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

simplify55.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04771161
12041996
25002967

prune364.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
1.5b
(* (cbrt c0) (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
2.3b
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
16.1b
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
22×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
9×pow1 cbrt-undiv div-exp
7×cbrt-prod
6×sqrt-div associate-*l*
5×associate-*r/ prod-exp cbrt-unprod div-inv associate-/l*
4×associate-*r* add-log-exp
3×associate-/r*
2×frac-times sqrt-pow1 pow-prod-down associate-*l/ sqrt-prod unswap-sqr
1×frac-2neg pow1/2 pow1/3 clear-num *-commutative associate-/l/
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt l)
138.0ms
(* (cbrt c0) (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
22.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
46.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

series476.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt l)
134.0ms
(* (cbrt c0) (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
120.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
33.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04711262
120281102
250011073

prune403.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.6b

regimes720.0ms

Accuracy

30.9% (7.7b remaining)

Error of 12.2b against oracle of 4.5b and baseline of 15.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03836
13836

end0.0ms

sample1.1s

Algorithm
intervals
Results
249.0ms8934×body80valid
236.0ms8625×body80nan