Details

Time bar (total: 18.1s)

sample96.0ms

Algorithm
intervals
Results
35.0ms88×body2560valid
21.0ms78×body1280valid
8.0ms226×body80nan
8.0ms42×body640valid
4.0ms25×body320valid
2.0ms19×body160valid
0.0ms4×body80valid

simplify584.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
6944
5254
4155
384
243
120
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×acos-asin associate-*r* *-commutative unswap-sqr
Counts
2 → 31
Calls
2 calls:
19.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify571.0ms

Counts
37 → 37
Iterations
IterNodes
done5001
2593
1133
057

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 3 expressions with local error:

0.6b
(acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))
1.0b
(cbrt (pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3))
1.0b
(pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down cube-prod
4×pow1 add-cbrt-cube add-exp-log
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cube-mult unpow3 sqr-pow
1×acos-asin pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 58
Calls
3 calls:
1.0ms
(acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))
4.0ms
(cbrt (pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3))
5.0ms
(pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3)

series87.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))
8.0ms
(cbrt (pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3))
72.0ms
(pow (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))) 3)

simplify1.4s

Counts
67 → 67
Iterations
IterNodes
done5001
2969
1171
072

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))))
0.6b
(acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))
1.0b
(cbrt (pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3))
1.0b
(pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down cube-prod
5×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 sqr-pow
1×acos-asin pow-to-exp expm1-log1p pow-pow pow1/3 pow-exp rem-cbrt-cube expm1-udef rem-cube-cbrt
Counts
4 → 69
Calls
4 calls:
0.0ms
(expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))))
1.0ms
(acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))
2.0ms
(cbrt (pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3))
2.0ms
(pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3)

series625.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))))
4.0ms
(acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0)))
174.0ms
(cbrt (pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3))
256.0ms
(pow (expm1 (log1p (acos (/ (fma (- v) (* v 5.0) 1.0) (- (pow v 2) 1.0))))) 3)

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5000
2999
1202
088

prune461.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))) (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))))
1.0b
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
18.0ms
(* (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))) (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))))
1.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
2.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))

series873.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))) (cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0)))))
194.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
204.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))
189.0ms
(cbrt (acos (/ (fma (- (* v v)) 5.0 1.0) (- (* v v) 1.0))))

simplify4.7s

Counts
93 → 93
Iterations
IterNodes
done5000
33451
2502
1138
065

prune599.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.1s2522×body1280valid
2.0s2990×body2560valid
508.0ms1253×body640valid
469.0ms7982×body80nan
135.0ms622×body320valid
68.0ms431×body160valid
15.0ms182×body80valid