Details

Time bar (total: 18.5s)

sample107.0ms

Algorithm
intervals
Results
54.0ms289×body80valid
21.0ms107×body80nan

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
44673
3593
293
136
017

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize34.0ms

Local error

Found 4 expressions with local error:

2.6b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
10.7b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
368×add-cbrt-cube add-exp-log
190×prod-exp cbrt-unprod
114×cbrt-undiv div-exp
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity times-frac add-cube-cbrt
10×pow1
5×frac-times associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ sqrt-prod div-inv
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l* unswap-sqr
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*l* *-commutative flip--
Counts
4 → 206
Calls
4 calls:
6.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
12.0ms
(/ (* M D) (* 2 d))
19.0ms
(/ (* M D) (* 2 d))
217.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series375.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
46.0ms
(/ (* M D) (* 2 d))
43.0ms
(/ (* M D) (* 2 d))
91.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.3s

Counts
218 → 218
Iterations
IterNodes
24014
1934
0327

prune731.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize60.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
3.5b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
90×add-cbrt-cube
84×add-sqr-sqrt times-frac
80×cbrt-prod associate-*l*
56×*-un-lft-identity add-cube-cbrt
44×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
10×associate-*r* unswap-sqr
8×pow1
6×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 218
Calls
4 calls:
28.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
39.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
15.0ms
(/ (* M D) (* 2 d))
19.0ms
(/ (* M D) (* 2 d))

series585.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
253.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
39.0ms
(/ (* M D) (* 2 d))
55.0ms
(/ (* M D) (* 2 d))

simplify868.0ms

Counts
230 → 230
Iterations
IterNodes
22560
1542
0191

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize59.0ms

Local error

Found 4 expressions with local error:

2.6b
(sqrt (- 1 (* (* (* (* (cbrt (/ (cbrt h) (cbrt l))) (cbrt (/ (cbrt h) (cbrt l)))) (* (cbrt (/ (cbrt h) (cbrt l))) (/ (* M D) (* 2 d)))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
3.5b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
59×add-cbrt-cube
46×add-sqr-sqrt
43×times-frac
40×cbrt-prod associate-*l*
31×*-un-lft-identity add-cube-cbrt
26×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
7×pow1
5×associate-*r* unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×sqrt-prod
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l*
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 151
Calls
4 calls:
7.0ms
(sqrt (- 1 (* (* (* (* (cbrt (/ (cbrt h) (cbrt l))) (cbrt (/ (cbrt h) (cbrt l)))) (* (cbrt (/ (cbrt h) (cbrt l))) (/ (* M D) (* 2 d)))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
27.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
12.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))

series515.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(sqrt (- 1 (* (* (* (* (cbrt (/ (cbrt h) (cbrt l))) (cbrt (/ (cbrt h) (cbrt l)))) (* (cbrt (/ (cbrt h) (cbrt l))) (/ (* M D) (* 2 d)))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
282.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
31.0ms
(/ (* M D) (* 2 d))
29.0ms
(/ (* M D) (* 2 d))

simplify978.0ms

Counts
163 → 163
Iterations
IterNodes
22989
1633
0229

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize52.0ms

Local error

Found 4 expressions with local error:

2.6b
(sqrt (- 1 (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) (/ h l)))))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
10.0b
(* (/ (* M D) (* 2 d)) (/ h l))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
69×add-cbrt-cube add-exp-log
26×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
19×add-sqr-sqrt
13×*-un-lft-identity times-frac associate-*r* add-cube-cbrt
7×pow1
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×sqrt-prod
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l* unswap-sqr
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 121
Calls
4 calls:
7.0ms
(sqrt (- 1 (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) (/ h l)))))
12.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))
48.0ms
(* (/ (* M D) (* 2 d)) (/ h l))

series412.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(sqrt (- 1 (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) (/ h l)))))
41.0ms
(/ (* M D) (* 2 d))
40.0ms
(/ (* M D) (* 2 d))
100.0ms
(* (/ (* M D) (* 2 d)) (/ h l))

simplify887.0ms

Counts
133 → 133
Iterations
IterNodes
22686
1522
0184

prune851.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.0b

regimes1.4s

Accuracy

0% (0.9b remaining)

Error of 7.5b against oracle of 6.6b and baseline of 7.5b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
232
132
024

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.2s9290×body80valid
716.0ms3330×body80nan