Details

sample181.0ms

Algorithm

intervals

Results

64.0ms	92×	body	2560	valid
42.0ms	83×	body	1280	valid
39.0ms	283×	body	80	nan
14.0ms	37×	body	640	valid
6.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	6×	body	80	valid

simplify178.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

178.0ms

(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

86.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify4.4s

Counts

54 → 61

Calls

54 calls:

Slowest

239.0ms	(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
216.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
207.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
180.0ms	(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (sqrt (- (* v v) 1)))
180.0ms	(/ (sqrt (fma -5 (* v v) 1)) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))

prune511.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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

17.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
1.0ms	(acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

74.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
3.0ms	(acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

simplify4.5s

Counts

54 → 61

Calls

54 calls:

Slowest

210.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
202.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
194.0ms	(- (log (fma -5 (* v v) 1)) (log (- (* v v) 1)))
194.0ms	(/ (sqrt (fma -5 (* v v) 1)) (sqrt (- (* v v) 1)))
178.0ms	(/ (sqrt (fma -5 (* v v) 1)) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))

prune566.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`times-frac` `add-cube-cbrt`
8×	`difference-of-squares`
7×	`add-exp-log`
6×	`pow1` `log-prod` `associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum` `associate-/l*`
2×	`associate-/r/` `log-pow`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

Slowest

23.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
5.0ms	(exp (log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
3.0ms	(acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
2.0ms	(log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
82.0ms	(log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
4.0ms	(acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
3.0ms	(exp (log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))

simplify6.5s

Counts

72 → 100

Calls

72 calls:

Slowest

230.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
227.0ms	(exp (* (cbrt (log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1))))))) (cbrt (log (acos (log (exp (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))))
196.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
196.0ms	(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
188.0ms	(/ (sqrt (fma -5 (* v v) 1)) (cbrt (- (* v v) 1)))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(acos (* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))
0.1b	(* (* v v) (* v v))
0.0b	(* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
22×	`pow-sqr`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-l`
18×	`pow-plus`
17×	`add-sqr-sqrt`
13×	`pow2` `times-frac`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
4×	`associate-r`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`frac-times` `flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip-+`
1×	`distribute-rgt-in` `acos-asin` `cbrt-undiv` `distribute-lft-in` `flip3--` `swap-sqr` `div-exp` `associate-*l/` `div-inv` `flip--`

Counts

3 → 123

Calls

3 calls:

Slowest

237.0ms	(* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))
51.0ms	(* (* v v) (* v v))
3.0ms	(acos (* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

123.0ms	(* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))
41.0ms	(* (* v v) (* v v))
5.0ms	(acos (* (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))

simplify12.2s

Counts

114 → 132

Calls

114 calls:

Slowest

856.0ms	(* (fma -5 (* v v) 1) (+ (pow (* v v) 3) (pow 1 3)))
614.0ms	(* (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1)))
417.0ms	(* (/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- (* (* v v) (* v v)) (* 1 1)) (- (* (* v v) (* v v)) (* 1 1))) (- (* (* v v) (* v v)) (* 1 1)))) (* (* (+ (* v v) 1) (+ (* v v) 1)) (+ (* v v) 1)))
391.0ms	(+ (log (/ (fma -5 (* v v) 1) (- (* (* v v) (* v v)) (* 1 1)))) (log (+ (* v v) 1)))
385.0ms	(* (* (* (* v v) v) (* (* v v) v)) (* (* (* v v) (* v v)) (* v v)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.4s	2989×	body	2560	valid
2.0s	2473×	body	1280	valid
1.1s	8121×	body	80	nan
639.0ms	1240×	body	640	valid
306.0ms	648×	body	320	valid
167.0ms	439×	body	160	valid
27.0ms	211×	body	80	valid