Details

Time bar (total: 23.0s)

sample76.0ms

Algorithm
intervals
Results
27.0ms284×body80valid
7.0ms76×body80nan

simplify980.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize39.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ (* M D) (* 2.0 d))
3.1b
(* 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))))
9.5b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite94.0ms

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:
13.0ms
(/ (* M D) (* 2.0 d))
25.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
5.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
46.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* M D) (* 2.0 d))
679.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
519.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
1.1s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify1.2s

Counts
125 → 125

prune605.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.6b

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b
(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
3.5b
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.0b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
4.8b
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
88×prod-exp
36×div-exp
28×add-sqr-sqrt
25×pow-exp
22×associate-*r*
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×pow1
8×rec-exp 1-exp cbrt-unprod
7×sqrt-prod
6×unpow-prod-down
5×pow-to-exp unswap-sqr
4×sqrt-div add-log-exp
3×associate-*r/ *-commutative
2×cbrt-undiv flip3-- pow-prod-down flip-- div-inv sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2 un-div-inv
Counts
4 → 131
Calls
4 calls:
19.0ms
(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
5.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
29.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
77.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

series3.4s

Counts
4 → 12
Calls
4 calls:
649.0ms
(* w0 (sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l)))))
577.0ms
(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
1.2s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
978.0ms
(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))

simplify1.1s

Counts
143 → 143

prune544.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.5b

localize48.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) (/ 1 l))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
253×add-exp-log
196×prod-exp
48×pow-exp
34×div-exp
32×pow-to-exp
25×add-cbrt-cube
17×rec-exp 1-exp
15×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×times-frac cbrt-unprod
6×pow1
4×div-inv add-log-exp
3×cbrt-undiv cbrt-div pow1/3
1×associate-*r/ associate-*l* pow-prod-down un-div-inv *-commutative
Counts
4 → 141
Calls
4 calls:
199.0ms
(* (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) (/ 1 l))
8.0ms
(cbrt (/ (* M D) (* 2.0 d)))
6.0ms
(cbrt (/ (* M D) (* 2.0 d)))
6.0ms
(cbrt (/ (* M D) (* 2.0 d)))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) (/ 1 l))
147.0ms
(cbrt (/ (* M D) (* 2.0 d)))
138.0ms
(cbrt (/ (* M D) (* 2.0 d)))
167.0ms
(cbrt (/ (* M D) (* 2.0 d)))

simplify1.1s

Counts
153 → 153

prune672.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.3b

localize41.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h) (/ 1 l)))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))
16.7b
(cbrt (/ (* M D) (* 2.0 d)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
252×add-exp-log
197×prod-exp
50×pow-exp
33×pow-to-exp
32×div-exp
22×add-cbrt-cube
16×rec-exp 1-exp
15×cbrt-prod
11×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×pow1 add-log-exp
3×cbrt-div times-frac pow1/3 associate-*r/ div-inv
2×cbrt-undiv
1×unpow-prod-down associate-*r* un-div-inv *-commutative sqr-pow
Counts
4 → 131
Calls
4 calls:
150.0ms
(* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h) (/ 1 l)))
6.0ms
(cbrt (/ (* M D) (* 2.0 d)))
16.0ms
(cbrt (/ (* M D) (* 2.0 d)))
7.0ms
(cbrt (/ (* M D) (* 2.0 d)))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h) (/ 1 l)))
143.0ms
(cbrt (/ (* M D) (* 2.0 d)))
147.0ms
(cbrt (/ (* M D) (* 2.0 d)))
155.0ms
(cbrt (/ (* M D) (* 2.0 d)))

simplify824.0ms

Counts
143 → 143

prune477.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.0b

regimes685.0ms

Accuracy

-97.5% (3.4b remaining)

Error of 10.8b against oracle of 7.4b and baseline of 9.1b

bsearch2.0ms

simplify2.1s

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s9308×body80valid
351.0ms3108×body80nan