Details

Time bar (total: 1.5m)

sample265.0ms

Algorithm
intervals
Results
99.0ms97×body1280valid
96.0ms96×body2560valid
26.0ms241×body80nan
17.0ms25×body640valid
7.0ms17×body320valid
5.0ms17×body160valid
1.0ms4×body80valid

simplify214.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
214.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 2 expressions with local error:

0.5b
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b
(/ (fma -5 (* v v) 1) (- (* v v) 1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
8×difference-of-squares
6×associate-/r*
4×add-cbrt-cube difference-of-sqr-1 add-exp-log
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
2 → 55
Calls
2 calls:
Slowest
24.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
2.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(/ (fma -5 (* v v) 1) (- (* v v) 1))
5.0ms
(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify4.3s

Counts
54 → 61
Calls
54 calls:
Slowest
243.0ms
(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
212.0ms
(- (log (fma -5 (* v v) 1)) (log (- (* v v) 1)))
188.0ms
(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
181.0ms
(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
166.0ms
(/ (sqrt (fma -5 (* v v) 1)) (sqrt (- (* v v) 1)))

prune533.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 2 expressions with local error:

0.5b
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))
0.0b
(/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
77×add-sqr-sqrt *-un-lft-identity
65×add-cube-cbrt
24×difference-of-squares
22×associate-/r*
13×add-exp-log
12×difference-of-sqr-1
7×add-cbrt-cube div-exp
5×div-inv
3×pow1 cbrt-undiv associate-/l*
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin clear-num frac-2neg associate-/r/ pow-flip inv-pow
Counts
2 → 126
Calls
2 calls:
Slowest
23.0ms
(/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))
2.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
80.0ms
(/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))
5.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

simplify26.3s

Counts
170 → 132
Calls
170 calls:
Slowest
1.0s
(/ (* (* 1 1) 1) (* (* (/ (- (* v v) 1) (fma -5 (* v v) 1)) (/ (- (* v v) 1) (fma -5 (* v v) 1))) (/ (- (* v v) 1) (fma -5 (* v v) 1))))
753.0ms
(/ 1 (/ (- (* v v) 1) (sqrt (fma -5 (* v v) 1))))
441.0ms
(/ (cbrt 1) (/ (- (* v v) 1) (fma -5 (* v v) 1)))
433.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))) (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1)))))
433.0ms
(/ (cbrt 1) (/ (- (* v v) 1) (fma -5 (* v v) 1)))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
1.0b
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
1.0b
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
0.5b
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

rewrite16.0ms

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:
Slowest
12.0ms
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
1.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
1.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
1.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
25.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
22.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
5.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))
3.0ms
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))

simplify23.5s

Counts
82 → 107
Calls
82 calls:
Slowest
745.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
451.0ms
(* (* (* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (* (* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))
443.0ms
(* (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))
432.0ms
(* (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))
431.0ms
(* (sqrt (cbrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (cbrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
1.0b
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
1.0b
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
0.5b
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

rewrite19.0ms

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:
Slowest
11.0ms
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
2.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
2.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
1.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
33.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
25.0ms
(sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))
6.0ms
(* (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))) (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
5.0ms
(acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))

simplify23.2s

Counts
82 → 107
Calls
82 calls:
Slowest
742.0ms
(cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))
465.0ms
(* (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))
443.0ms
(* (* (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))) (* (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1))))))))
437.0ms
(* (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (sqrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))
431.0ms
(* (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))) (cbrt (sqrt (acos (/ 1 (/ (- (* v v) 1) (fma -5 (* v v) 1)))))))

prune972.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.4s3031×body2560valid
2.3s2478×body1280valid
924.0ms7875×body80nan
729.0ms1248×body640valid
283.0ms641×body320valid
97.0ms397×body160valid
27.0ms205×body80valid