Details

Time bar (total: 14.3s)

sample86.0ms

Algorithm
intervals
Results
31.0ms90×body2560valid
22.0ms93×body1280valid
11.0ms259×body80nan
7.0ms37×body640valid
2.0ms17×body320valid
1.0ms14×body160valid
0.0ms5×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0914
11914
24114
38114
415014
523514
631214
746114
8119414
done500014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- 1.0 (* 5.0 (* v v)))
0.2b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp
4×associate-/r* difference-of-squares
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv acos-asin sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
2.0ms
(- 1.0 (* 5.0 (* v v)))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
59.0ms
(- 1.0 (* 5.0 (* v v)))
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.0s

Counts
87 → 87
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01461376
13511319
210721207
342581205
done50001203

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
0.1b
(* (* 5.0 5.0) (pow v 4))
0.2b
(* 5.0 (* v v))
0.5b
(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×prod-exp
10×add-sqr-sqrt
9×pow1
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity
6×cbrt-unprod add-log-exp
4×unpow-prod-down associate-*l* unswap-sqr
3×pow-prod-down
2×pow-to-exp pow-exp *-commutative sqr-pow
1×acos-asin sub-neg flip3-- diff-log flip--
Counts
4 → 66
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
10.0ms
(* (* 5.0 5.0) (pow v 4))
7.0ms
(* 5.0 (* v v))
0.0ms
(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
35.0ms
(* (* 5.0 5.0) (pow v 4))
24.0ms
(* 5.0 (* v v))
11.0ms
(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify1.0s

Counts
78 → 78
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
01281083
13141012
21174888
done5000888

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
0.0b
(- 1.0 (* 5.0 (* v v)))
0.2b
(* 5.0 (* v v))
0.5b
(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×times-frac
22×add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
12×add-exp-log add-cbrt-cube
10×pow1
6×add-log-exp difference-of-squares
4×associate-/r/
3×pow-unpow flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
2×pow-exp div-inv rem-cube-cbrt
1×cbrt-undiv cube-div acos-asin cube-mult pow-to-exp sub-neg pow-pow diff-log unpow3 div-exp associate-*r* *-commutative unswap-sqr sqr-pow
Counts
4 → 95
Calls
4 calls:
11.0ms
(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
2.0ms
(- 1.0 (* 5.0 (* v v)))
7.0ms
(* 5.0 (* v v))
0.0ms
(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
56.0ms
(- 1.0 (* 5.0 (* v v)))
24.0ms
(* 5.0 (* v v))
4.0ms
(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

simplify667.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
01892165
15721994
219151790
done50001790

prune203.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0b
(* (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
0.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
0.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
0.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
6.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
131.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
127.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
156.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
0552476
11012281
22951827
311221757
438801737
done50001737

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s2939×body2560valid
594.0ms2505×body1280valid
237.0ms8095×body80nan
211.0ms1225×body640valid
83.0ms665×body320valid
39.0ms460×body160valid
10.0ms206×body80valid