Details

Time bar (total: 8.0s)

sample62.0ms

Algorithm
intervals
Results
21.0ms300×body80valid
7.0ms101×body80nan

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.7b
(/ (* M D) (* 2.0 d))
3.8b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
11.8b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-sqr-sqrt
27×prod-exp
23×add-cbrt-cube
19×div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×times-frac
12×associate-*l*
10×pow-exp
8×unswap-sqr
7×pow1 unpow-prod-down sqrt-prod cbrt-unprod
5×cbrt-undiv
4×sqrt-div add-log-exp
3×associate-*r/ div-inv sqr-pow
2×pow-to-exp flip3-- *-commutative flip--
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* associate-/l*
Counts
4 → 113
Calls
4 calls:
6.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
5.0ms
(/ (* M D) (* 2.0 d))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series536.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
6.0ms
(/ (* M D) (* 2.0 d))
147.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
208.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify69.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07381124
129591046
250021043

prune256.0ms

Filtered
125 candidates to 81 candidates (35.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1169125
Fresh000
Picked101
Done000
Total1179126

Merged error: 6.0b

Counts
126 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* M D) (* 2.0 d))
3.8b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.5b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.9b
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
165×add-exp-log
91×prod-exp
40×div-exp
30×add-cbrt-cube
25×pow-exp
21×add-sqr-sqrt
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
11×times-frac cbrt-unprod
10×associate-*l*
8×rec-exp 1-exp
7×pow1
6×cbrt-undiv unpow-prod-down
5×pow-to-exp
4×add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×sqrt-div *-commutative sqr-pow
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* un-div-inv flip-- associate-/l*
Counts
4 → 128
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
2.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
6.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
11.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

series547.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
142.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
195.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
205.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

simplify82.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08851232
136331109
250011096

prune229.0ms

Filtered
140 candidates to 74 candidates (47.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh088
Picked101
Done000
Total13910149

Merged error: 5.8b

Counts
149 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* M D) (* 2.0 d))
3.8b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))))
4.8b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
6.9b
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
1390×add-exp-log
903×prod-exp
362×div-exp
305×pow-exp
61×pow-to-exp
57×rec-exp 1-exp
39×add-cbrt-cube
21×add-sqr-sqrt
17×cbrt-unprod
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
11×times-frac
10×associate-*l*
7×pow1 cbrt-undiv
6×unpow-prod-down
4×add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×sqrt-div *-commutative sqr-pow
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* un-div-inv flip-- associate-/l*
Counts
4 → 326
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
2.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))))
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
19.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

series594.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
143.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))))
196.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
249.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

simplify72.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
018274800
150013412

prune285.0ms

Filtered
338 candidates to 76 candidates (77.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New3371338
Fresh099
Picked011
Done000
Total33711348

Merged error: 5.6b

Counts
348 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* M D) (* 2.0 d))
3.8b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l)))))
4.8b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
7.0b
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
165×add-exp-log
91×prod-exp
40×div-exp
30×add-cbrt-cube
25×pow-exp
21×add-sqr-sqrt
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
11×times-frac cbrt-unprod
10×associate-*l*
8×rec-exp 1-exp
7×pow1
6×cbrt-undiv unpow-prod-down
5×pow-to-exp
4×add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×sqrt-div *-commutative sqr-pow
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* un-div-inv flip-- associate-/l*
Counts
4 → 128
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l)))))
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
11.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

series548.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
142.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l)))))
196.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
205.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

simplify89.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09081498
137801347
250021329

prune223.0ms

Filtered
140 candidates to 73 candidates (47.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1382140
Fresh279
Picked011
Done011
Total14011151

Merged error: 5.6b

Counts
151 → 11

regimes2.4s

Accuracy

0% (1.4b remaining)

Error of 8.7b against oracle of 7.3b and baseline of 8.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample1.8s

Algorithm
intervals
Results
722.0ms9377×body80valid
247.0ms3122×body80nan

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