Details

Time bar (total: 40.4s)

sample135.0ms

Algorithm
intervals
Results
52.0ms99×body2560valid
26.0ms74×body1280valid
11.0ms41×body640valid
10.0ms208×body80nan
5.0ms24×body320valid
1.0ms9×body160valid
1.0ms9×body80valid

simplify8.2s

Counts
1 → 1
Iterations
IterNodes
done5018
84522
71213
6455
5218
4138
377
242
120
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
8×pow1
4×associate-/r* difference-of-squares
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
3 → 72
Calls
3 calls:
37.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
37.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
58.0ms
(* 5.0 (* v v))
25.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.0s

Counts
81 → 81
Iterations
IterNodes
done5000
21192
1378
0148

prune874.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) 5.0)
0.1b
(* (* v v) 5.0)
0.1b
(* (* v v) 5.0)
0.6b
(acos (cbrt (* (* (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0))) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
7×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* *-commutative unswap-sqr
1×acos-asin
Counts
4 → 77
Calls
4 calls:
43.0ms
(* (* v v) 5.0)
49.0ms
(* (* v v) 5.0)
54.0ms
(* (* v v) 5.0)
3.0ms
(acos (cbrt (* (* (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0))) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* v v) 5.0)
54.0ms
(* (* v v) 5.0)
37.0ms
(* (* v v) 5.0)
20.0ms
(acos (cbrt (* (* (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0))) (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))))

simplify3.5s

Counts
89 → 89
Iterations
IterNodes
done5000
31453
2408
1144
065

prune857.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
5.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
41.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
63.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
61.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
27.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify7.5s

Counts
107 → 107
Iterations
IterNodes
done5008
42448
3638
2245
1133
080

prune895.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize132.0ms

Local error

Found 4 expressions with local error:

0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
1.0b
(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
20×add-sqr-sqrt
14×sqrt-prod
11×add-cbrt-cube add-exp-log
10×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
6×pow-plus pow-prod-down pow-prod-up
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2
2×cbrt-prod pow2 pow3 pow-sqr *-commutative
1×rem-sqrt-square pow1/3 sqrt-unprod rem-cbrt-cube
Counts
4 → 94
Calls
4 calls:
2.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
53.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
25.0ms
(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
27.0ms
(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
33.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
209.0ms
(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
31.0ms
(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify6.1s

Counts
106 → 106
Iterations
IterNodes
done5001
42585
3912
2498
1221
0108

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes713.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.2s2975×body2560valid
1.3s2516×body1280valid
914.0ms8095×body80nan
536.0ms1268×body640valid
224.0ms626×body320valid
62.0ms414×body160valid
17.0ms201×body80valid