Details

Time bar (total: 10.8s)

sample44.0ms

Algorithm
intervals
Results
15.0ms295×body80valid
6.0ms114×body80nan

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.5b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.3b
(/ (* M D) (* 2.0 d))
11.4b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite37.0ms

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:
11.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
4.0ms
(/ (* M D) (* 2.0 d))
15.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.5s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
373.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
28.0ms
(/ (* M D) (* 2.0 d))
684.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify79.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06091075
12742997
25003994

prune395.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.5b

localize15.0ms

Local error

Found 4 expressions with local error:

3.5b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.8b
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
5.2b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.3b
(/ (* M D) (* 2.0 d))

rewrite41.0ms

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:
2.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
18.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
4.0ms
(/ (* M D) (* 2.0 d))

series1.8s

Counts
4 → 12
Calls
4 calls:
378.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
708.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
730.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
32.0ms
(/ (* M D) (* 2.0 d))

simplify88.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07521136
134601014
250021001

prune395.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
5.3b
(/ (* M D) (* 2.0 d))
5.3b
(/ (* M D) (* 2.0 d))
5.9b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
1402×add-exp-log
907×prod-exp
366×div-exp
305×pow-exp
61×pow-to-exp
57×rec-exp 1-exp
51×add-cbrt-cube
21×cbrt-unprod
19×add-sqr-sqrt
16×associate-*r*
14×add-cube-cbrt *-un-lft-identity
12×times-frac
11×cbrt-undiv
10×associate-*l*
6×pow1 unpow-prod-down
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg clear-num associate-/r* *-commutative associate-/l* sqr-pow
1×associate-*r/ pow-prod-down un-div-inv
Counts
4 → 332
Calls
4 calls:
54.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
4.0ms
(/ (* M D) (* 2.0 d))
4.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series1.5s

Counts
4 → 12
Calls
4 calls:
712.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
28.0ms
(/ (* M D) (* 2.0 d))
28.0ms
(/ (* M D) (* 2.0 d))
735.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify124.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
015584491
145763065
250023053

prune457.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* M D) (* 2.0 d))
5.3b
(/ (* M D) (* 2.0 d))
5.9b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
6.1b
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
177×add-exp-log
95×prod-exp
44×div-exp
42×add-cbrt-cube
25×pow-exp
19×add-sqr-sqrt
16×associate-*r*
15×cbrt-unprod
14×add-cube-cbrt *-un-lft-identity
12×times-frac
10×cbrt-undiv associate-*l*
8×rec-exp 1-exp
6×pow1 unpow-prod-down
5×pow-to-exp
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg clear-num associate-/r* *-commutative associate-/l* sqr-pow
1×associate-*r/ pow-prod-down un-div-inv
Counts
4 → 134
Calls
4 calls:
4.0ms
(/ (* M D) (* 2.0 d))
8.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
18.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

series1.5s

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (* M D) (* 2.0 d))
28.0ms
(/ (* M D) (* 2.0 d))
747.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
703.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

simplify81.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07011167
13217993
25001980

prune411.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

regimes787.0ms

Accuracy

0% (1.8b remaining)

Error of 9.1b against oracle of 7.3b and baseline of 9.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322
13322

end0.0ms

sample1.2s

Algorithm
intervals
Results
500.0ms9295×body80valid
178.0ms3193×body80nan