Details

Time bar (total: 31.0s)

sample74.0ms

Algorithm
intervals
Results
46.0ms298×body80valid
9.0ms72×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
44673
3593
293
136
017

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize32.0ms

Local error

Found 4 expressions with local error:

3.6b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* M D) (* 2 d))
10.3b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite150.0ms

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:
5.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
11.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))
115.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series293.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
31.0ms
(/ (* M D) (* 2 d))
29.0ms
(/ (* M D) (* 2 d))
88.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.2s

Counts
218 → 218
Iterations
IterNodes
24014
1934
0327

prune3.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize40.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
3.9b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* M D) (* 2 d))

rewrite163.0ms

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:
49.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
54.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
24.0ms
(/ (* M D) (* 2 d))
31.0ms
(/ (* M D) (* 2 d))

series640.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
310.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
44.0ms
(/ (* M D) (* 2 d))
30.0ms
(/ (* M D) (* 2 d))

simplify956.0ms

Counts
230 → 230
Iterations
IterNodes
22560
1542
0191

prune4.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

localize77.0ms

Local error

Found 4 expressions with local error:

3.6b
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt (* (cbrt h) (cbrt h))) (* (cbrt (cbrt l)) (cbrt (cbrt l)))) (* (/ (cbrt (cbrt h)) (cbrt (cbrt l))) (/ (* M D) (* 2 d))))) (/ (cbrt h) (cbrt l)))))
3.9b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* 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:
5.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt (* (cbrt h) (cbrt h))) (* (cbrt (cbrt l)) (cbrt (cbrt l)))) (* (/ (cbrt (cbrt h)) (cbrt (cbrt l))) (/ (* M D) (* 2 d))))) (/ (cbrt h) (cbrt l)))))
29.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))

series468.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt (* (cbrt h) (cbrt h))) (* (cbrt (cbrt l)) (cbrt (cbrt l)))) (* (/ (cbrt (cbrt h)) (cbrt (cbrt l))) (/ (* M D) (* 2 d))))) (/ (cbrt h) (cbrt l)))))
262.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
30.0ms
(/ (* M D) (* 2 d))
30.0ms
(/ (* M D) (* 2 d))

simplify1.3s

Counts
163 → 163
Iterations
IterNodes
23022
1638
0232

prune4.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.5b

localize203.0ms

Local error

Found 4 expressions with local error:

6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* M D) (* 2 d))
6.4b
(/ (* M D) (* 2 d))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
16×cbrt-undiv div-exp prod-exp cbrt-unprod
4×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
4 → 96
Calls
4 calls:
12.0ms
(/ (* M D) (* 2 d))
15.0ms
(/ (* M D) (* 2 d))
21.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))

series177.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (* M D) (* 2 d))
51.0ms
(/ (* M D) (* 2 d))
44.0ms
(/ (* M D) (* 2 d))
34.0ms
(/ (* M D) (* 2 d))

simplify2.9s

Counts
108 → 108
Iterations
IterNodes
36794
2842
1163
059

prune3.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

regimes1.8s

Accuracy

-143.3% (1.9b remaining)

Error of 9.2b against oracle of 7.3b and baseline of 8.1b

bsearch158.0ms

Steps
ItersRangePoint
6
-6.885124367222209e-280
-1.27383060449149e-280
-1.2945419865474642e-280
8
-5.605076559173412e+305
-5.295053963288949e+301
-5.513451714242142e+305

simplify10.0ms

Iterations
IterNodes
232
132
024

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.1s9274×body80valid
683.0ms3185×body80nan