Details

Time bar (total: 3.8s)

sample36.0ms

Algorithm
intervals
Results
10.0ms293×body80valid
9.0ms273×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
6.1b
(/ A (* V l))
17.9b
(sqrt (/ A (* V l)))

rewrite16.0ms

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:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(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)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune189.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New591675
Fresh000
Picked101
Done000
Total601676

Merged error: 7.9b

Counts
76 → 16

localize8.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.4b
(* (/ 1 V) (/ A l))
17.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite28.0ms

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:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
59.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0418505
11840440
25001414

prune212.0ms

Filtered
101 candidates to 67 candidates (66.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New947101
Fresh7815
Picked011
Done000
Total10116117

Merged error: 5.6b

Counts
117 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.5b
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
1.5b
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
17.9b
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

rewrite50.0ms

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 A)
11.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
21.0ms
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
14.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt A)
126.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V)
51.0ms
(* c0 (sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l)))))
32.0ms
(sqrt (* (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))) V) (/ (cbrt A) (cbrt l))))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04791161
120631000
25001961

prune309.0ms

Filtered
103 candidates to 80 candidates (77.7%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1003103
Fresh11314
Picked011
Done011
Total10118119

Merged error: 4.0b

Counts
119 → 18

localize8.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (* (/ A V) (/ 1 l))))
2.8b
(* (/ A V) (/ 1 l))
17.9b
(sqrt (* (/ A V) (/ 1 l)))

rewrite32.0ms

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×sqrt-div div-exp
7×associate-*r/ unswap-sqr
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ un-div-inv add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
10.0ms
(* (/ A V) (/ 1 l))
10.0ms
(sqrt (* (/ A V) (/ 1 l)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
247.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
20.0ms
(* (/ A V) (/ 1 l))
31.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0434512
11878452
25001413

prune177.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh31215
Picked011
Done112
Total10616122

Merged error: 4.0b

Counts
122 → 16

regimes488.0ms

Accuracy

48.7% (8.2b remaining)

Error of 11.9b against oracle of 3.7b and baseline of 19.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07247
17247

end0.0ms

sample1.0s

Algorithm
intervals
Results
313.0ms8878×body80valid
301.0ms9007×body80nan

Profiling

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