Details

Time bar (total: 9.9s)

sample45.0ms

Algorithm
intervals
Results
17.0ms294×body80valid
6.0ms102×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.8b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.3b
(/ (* M D) (* 2.0 d))
11.0b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite29.0ms

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)))))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.0ms
(/ (* M D) (* 2.0 d))
11.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.7s

Counts
4 → 12
Calls
4 calls:
450.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
363.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
27.0ms
(/ (* M D) (* 2.0 d))
885.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify72.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06091075
12742997
25003994

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.4b
(* (* (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))

rewrite34.0ms

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))))
11.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.0ms
(/ (* M D) (* 2.0 d))

series1.8s

Counts
4 → 12
Calls
4 calls:
372.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
713.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
729.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
28.0ms
(/ (* M D) (* 2.0 d))

simplify92.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07521136
134601014
250021001

prune387.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.2b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.3b
(/ (* M D) (* 2.0 d))
5.3b
(/ (* M D) (* 2.0 d))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
32×add-cbrt-cube
30×prod-exp
20×add-sqr-sqrt
18×associate-*l*
16×div-exp
12×unpow-prod-down
10×add-cube-cbrt *-un-lft-identity pow-exp cbrt-unprod
8×cbrt-undiv
6×associate-*r* unswap-sqr
4×pow1 times-frac div-inv add-log-exp sqr-pow
2×pow-to-exp frac-2neg clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 104
Calls
4 calls:
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.0ms
(/ (* M D) (* 2.0 d))
6.0ms
(/ (* M D) (* 2.0 d))

series1.6s

Counts
4 → 12
Calls
4 calls:
746.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
746.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
34.0ms
(/ (* M D) (* 2.0 d))
29.0ms
(/ (* M D) (* 2.0 d))

simplify50.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0361750
11732644
25001644

prune545.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.5b

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* M D) (* 2.0 d))
18.0b
(cbrt (/ (* M D) (* 2.0 d)))
18.0b
(cbrt (/ (* M D) (* 2.0 d)))
18.0b
(cbrt (/ (* M D) (* 2.0 d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv times-frac div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 63
Calls
4 calls:
6.0ms
(/ (* M D) (* 2.0 d))
5.0ms
(cbrt (/ (* M D) (* 2.0 d)))
5.0ms
(cbrt (/ (* M D) (* 2.0 d)))
5.0ms
(cbrt (/ (* M D) (* 2.0 d)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* M D) (* 2.0 d))
106.0ms
(cbrt (/ (* M D) (* 2.0 d)))
111.0ms
(cbrt (/ (* M D) (* 2.0 d)))
105.0ms
(cbrt (/ (* M D) (* 2.0 d)))

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0246502
11144440
25002434

prune495.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.5b

regimes807.0ms

Accuracy

60.9% (1.2b remaining)

Error of 8.5b against oracle of 7.3b and baseline of 10.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04930
14930

end0.0ms

sample1.2s

Algorithm
intervals
Results
559.0ms9280×body80valid
188.0ms3095×body80nan