Details

Time bar (total: 46.5s)

sample259.0ms

Algorithm
intervals
Results
93.0ms94×body2560valid
62.0ms284×body80nan
57.0ms84×body1280valid
21.0ms40×body640valid
7.0ms18×body320valid
3.0ms13×body160valid
1.0ms7×body80valid

simplify161.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
161.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b
(fma -5 (* v v) 1)
0.0b
(/ (fma -5 (* v v) 1) (- (* v v) 1))
0.0b
(- (* v v) 1)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
9×add-exp-log
6×associate-/r* add-cbrt-cube add-log-exp
5×difference-of-sqr-1
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×prod-diff associate-/l*
2×expm1-def flip3-- associate-/r/ flip--
1×acos-asin cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-exp fma-udef div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
24.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
16.0ms
(- (* v v) 1)
2.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0ms
(fma -5 (* v v) 1)

series262.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
103.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
81.0ms
(fma -5 (* v v) 1)
72.0ms
(- (* v v) 1)
5.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify5.0s

Counts
74 → 102
Calls
74 calls:
Slowest
221.0ms
(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
213.0ms
(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
208.0ms
(- (log (fma -5 (* v v) 1)) (log (- (* v v) 1)))
203.0ms
(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
193.0ms
(/ (sqrt (fma -5 (* v v) 1)) (sqrt (- (* v v) 1)))

prune945.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b
(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
0.0b
(fma -5 (* v v) 1)
0.0b
(/ (fma -5 (* v v) 1) (- (* v v) 1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×times-frac
15×add-cube-cbrt
8×difference-of-squares
6×associate-/r* add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 difference-of-sqr-1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-/r/
1×acos-asin cbrt-undiv expm1-log1p clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip-- expm1-udef
Counts
4 → 78
Calls
4 calls:
Slowest
24.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
2.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.0ms
(fma -5 (* v v) 1)
1.0ms
(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
171.0ms
(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
99.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
98.0ms
(fma -5 (* v v) 1)
5.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify5.2s

Counts
61 → 90
Calls
61 calls:
Slowest
247.0ms
(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
208.0ms
(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
196.0ms
(/ (cbrt (fma -5 (* v v) 1)) (cbrt (- (* v v) 1)))
195.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
195.0ms
(/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- (* v v) 1) (- (* v v) 1)) (- (* v v) 1)))

prune973.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.8b
(acos (* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1))))
0.0b
(/ 1 (+ v 1))
0.0b
(fma -5 (* v v) 1)
0.0b
(* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
57×*-un-lft-identity
52×times-frac
32×add-cube-cbrt
30×add-exp-log
27×associate-*r*
18×add-cbrt-cube associate-*l*
10×div-exp
8×prod-exp
7×pow1 distribute-lft-out
6×associate-/r/ difference-of-squares unswap-sqr
5×cbrt-undiv
4×expm1-log1p-u associate-/r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp difference-of-sqr-1 div-inv associate-/l* distribute-lft-out--
2×flip3-+ flip-+
1×acos-asin frac-times clear-num frac-2neg flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef pow-flip flip-- inv-pow
Counts
4 → 140
Calls
4 calls:
Slowest
51.0ms
(* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1)))
8.0ms
(/ 1 (+ v 1))
1.0ms
(acos (* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1))))
0.0ms
(fma -5 (* v v) 1)

series219.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1)))
91.0ms
(fma -5 (* v v) 1)
14.0ms
(/ 1 (+ v 1))
4.0ms
(acos (* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1))))

simplify9.8s

Counts
120 → 152
Calls
120 calls:
Slowest
1.0s
(acos (* -1 (/ (fma -5 (pow v 2) 1) (* (- 1 v) (+ v 1)))))
792.0ms
(acos (/ (fma -5 (pow v 2) 1) (* (- v 1) (+ v 1))))
759.0ms
(acos (/ (fma -5 (pow v 2) 1) (* (- v 1) (+ v 1))))
412.0ms
(* (/ 1 (+ v 1)) (/ (fma -5 (* v v) 1) (- v 1)))
339.0ms
(* (/ (* (* 1 1) 1) (* (* (+ v 1) (+ v 1)) (+ v 1))) (/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- v 1) (- v 1)) (- v 1))))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b
(* (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))

rewrite22.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
2.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
413.0ms
(* (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
324.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
317.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
314.0ms
(cbrt (expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

simplify10.6s

Counts
65 → 97
Calls
65 calls:
Slowest
315.0ms
(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
315.0ms
(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
312.0ms
(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
312.0ms
(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
288.0ms
(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.5s2988×body2560valid
1.9s2552×body1280valid
865.0ms8138×body80nan
688.0ms1228×body640valid
225.0ms561×body320valid
146.0ms456×body160valid
28.0ms215×body80valid