Details

Time bar (total: 31.0s)

sample85.0ms

Algorithm
intervals
Results
39.0ms301×body80valid
10.0ms106×body80nan

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
52702
4460
3181
281
136
017

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize28.0ms

Local error

Found 4 expressions with local error:

2.9b
(* 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))))
4.8b
(/ (* M D) (* 2.0 d))
10.5b
(* (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×expm1-log1p-u sqrt-div log1p-expm1-u 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 → 121
Calls
4 calls:
15.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
6.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
15.0ms
(/ (* M D) (* 2.0 d))
57.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
651.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
594.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
54.0ms
(/ (* M D) (* 2.0 d))
956.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify2.2s

Counts
133 → 133
Iterations
IterNodes
done5000
23154
1643
0244

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.7b

localize69.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.8b
(/ (* M D) (* 2.0 d))
4.9b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.8b
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

rewrite101.0ms

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×*-un-lft-identity add-cube-cbrt
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×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×sqrt-div *-commutative sqr-pow
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*r/ un-div-inv flip-- associate-/l*
Counts
4 → 136
Calls
4 calls:
11.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
22.0ms
(/ (* M D) (* 2.0 d))
26.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
32.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

series2.7s

Counts
4 → 12
Calls
4 calls:
614.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
61.0ms
(/ (* M D) (* 2.0 d))
1.0s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
1.0s
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

simplify3.3s

Counts
148 → 148
Iterations
IterNodes
done5000
24594
1787
0277

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.0b

localize65.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* M D) (* 2.0 d))
4.8b
(/ (* M D) (* 2.0 d))
5.8b
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
6.7b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite198.0ms

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×*-un-lft-identity add-cube-cbrt
12×times-frac
11×cbrt-undiv
10×associate-*l*
6×pow1 unpow-prod-down
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×clear-num associate-/r* frac-2neg *-commutative associate-/l* sqr-pow
1×pow-prod-down associate-*r/ un-div-inv
Counts
4 → 340
Calls
4 calls:
10.0ms
(/ (* M D) (* 2.0 d))
11.0ms
(/ (* M D) (* 2.0 d))
125.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
21.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series2.2s

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (* M D) (* 2.0 d))
56.0ms
(/ (* M D) (* 2.0 d))
1.0s
(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))
1.1s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify2.5s

Counts
352 → 352
Iterations
IterNodes
done5001
11705
0447

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.8b

localize75.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* M D) (* 2.0 d))
4.8b
(/ (* M D) (* 2.0 d))
5.8b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
6.7b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite80.0ms

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×expm1-log1p-u pow1 log1p-expm1-u 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 → 108
Calls
4 calls:
10.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(/ (* M D) (* 2.0 d))
19.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
37.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series2.1s

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* M D) (* 2.0 d))
52.0ms
(/ (* M D) (* 2.0 d))
996.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l)
1.1s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify2.0s

Counts
120 → 120
Iterations
IterNodes
done5001
22565
1512
0194

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 7.8b

regimes1.8s

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s9267×body80valid
421.0ms3027×body80nan