Details

Time bar (total: 30.3s)

sample63.0ms

Algorithm
intervals
Results
26.0ms302×body80valid
8.0ms95×body80nan

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
52638
4446
3177
281
136
017

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize34.0ms

Local error

Found 4 expressions with local error:

2.2b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.8b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.9b
(/ (* M D) (* 2.0 d))
9.1b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite96.0ms

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×*-un-lft-identity add-cube-cbrt
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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-/l*
Counts
4 → 113
Calls
4 calls:
30.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
9.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
10.0ms
(/ (* M D) (* 2.0 d))
39.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
656.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
546.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
40.0ms
(/ (* M D) (* 2.0 d))
1.1s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify2.1s

Counts
125 → 125
Iterations
IterNodes
done5000
23068
1619
0236

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.1b

localize60.0ms

Local error

Found 4 expressions with local error:

2.8b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.7b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
5.1b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.9b
(/ (* M D) (* 2.0 d))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
26×prod-exp
23×add-cbrt-cube
20×div-exp
18×add-sqr-sqrt
12×*-un-lft-identity
10×pow-exp add-cube-cbrt
9×associate-*l*
6×cbrt-undiv unpow-prod-down cbrt-unprod
5×pow1 times-frac sqrt-prod
4×associate-/r* add-log-exp
3×associate-*r* div-inv unswap-sqr
2×pow-to-exp clear-num frac-2neg sqrt-div associate-/l* sqr-pow
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
19.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
24.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
44.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
20.0ms
(/ (* M D) (* 2.0 d))

series2.7s

Counts
4 → 12
Calls
4 calls:
560.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
1.0s
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
1.0s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
41.0ms
(/ (* M D) (* 2.0 d))

simplify2.1s

Counts
108 → 108
Iterations
IterNodes
done5000
23094
1561
0224

prune964.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.6b

localize58.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
4.7b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
6.9b
(/ (* M D) (* 2.0 d))
6.9b
(/ (* M D) (* 2.0 d))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
373×add-exp-log
184×prod-exp
129×div-exp
80×pow-exp
39×add-cbrt-cube
16×pow-to-exp
14×add-sqr-sqrt
12×cbrt-unprod
11×cbrt-undiv
9×*-un-lft-identity associate-*l* add-cube-cbrt
6×unpow-prod-down times-frac
5×associate-/r*
4×pow1 div-inv add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l* unswap-sqr
2×sqr-pow
1×*-commutative
Counts
4 → 150
Calls
4 calls:
20.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
44.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
19.0ms
(/ (* M D) (* 2.0 d))
19.0ms
(/ (* M D) (* 2.0 d))

series2.2s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
1.1s
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
53.0ms
(/ (* M D) (* 2.0 d))
52.0ms
(/ (* M D) (* 2.0 d))

simplify2.8s

Counts
162 → 162
Iterations
IterNodes
done5000
23806
1847
0283

prune998.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.6b

localize43.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
4.4b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
6.9b
(/ (* M D) (* 2.0 d))
6.9b
(/ (* M D) (* 2.0 d))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
35×add-cbrt-cube
30×prod-exp
24×div-exp
14×add-sqr-sqrt
10×cbrt-undiv pow-exp cbrt-unprod
9×*-un-lft-identity associate-*l* add-cube-cbrt
6×unpow-prod-down times-frac
5×associate-/r*
4×pow1 div-inv add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l* unswap-sqr
2×pow-to-exp sqr-pow
1×*-commutative
Counts
4 → 100
Calls
4 calls:
14.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
33.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
15.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(/ (* M D) (* 2.0 d))

series2.1s

Counts
4 → 12
Calls
4 calls:
1.0s
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
1.0s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
36.0ms
(/ (* M D) (* 2.0 d))
37.0ms
(/ (* M D) (* 2.0 d))

simplify1.8s

Counts
112 → 112
Iterations
IterNodes
done5000
22515
1500
0188

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.6b

regimes2.2s

Accuracy

0% (1.7b remaining)

Error of 8.5b against oracle of 6.8b and baseline of 8.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s9321×body80valid
781.0ms3088×body80nan