Details

sample255.0ms

Algorithm

intervals

Results

85.0ms	92×	body	2560	valid
63.0ms	83×	body	1280	valid
35.0ms	25×	body	320	valid
30.0ms	283×	body	80	nan
20.0ms	37×	body	640	valid
3.0ms	13×	body	160	valid
1.0ms	6×	body	80	valid

simplify145.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

144.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

Slowest

18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
53.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify7.6s

Counts

70 → 83

Calls

70 calls:

Slowest

412.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
339.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
302.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
293.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
280.0ms	(* (* (* 5 5) 5) (* (* (* v v) (* v v)) (* v v)))

prune649.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize50.0ms

Local error

Found 3 expressions with local error:

0.3b	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.1b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

Slowest

18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
17.0ms	(* 5 (* v v))
3.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series142.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

99.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
39.0ms	(* 5 (* v v))
3.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify7.3s

Counts

70 → 83

Calls

70 calls:

Slowest

410.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
392.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
290.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
279.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
242.0ms	(* (* (* 5 5) 5) (* (* (* v v) (* v v)) (* v v)))

prune860.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.1b	(* 5 (* v v))
0.0b	(exp (log (acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

Slowest

37.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
15.0ms	(* 5 (* v v))
5.0ms	(exp (log (acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))
2.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series120.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
38.0ms	(* 5 (* v v))
5.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
3.0ms	(exp (log (acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))

simplify9.5s

Counts

81 → 102

Calls

81 calls:

Slowest

426.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
385.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
324.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
312.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
294.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

Slowest

169.0ms	(* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))
27.0ms	(* (* v v) (* v v))
19.0ms	(* 5 (* v v))
4.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1))
49.0ms	(* 5 (* v v))
48.0ms	(* (* v v) (* v v))
6.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))) (+ (* v v) 1)))

simplify11.8s

Counts

127 → 149

Calls

127 calls:

Slowest

579.0ms	(sqrt (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1))))
572.0ms	(* (cbrt (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1)))) (cbrt (/ (- 1 (* 5 (* v v))) (- (* (* v v) (* v v)) (* 1 1)))))
458.0ms	(* (- 1 (* 5 (* v v))) (+ (pow (* v v) 3) (pow 1 3)))
446.0ms	(/ (- 1 (* 5 (* v v))) (- (pow (* (* v v) (* v v)) 3) (pow (* 1 1) 3)))
434.0ms	(+ (- (log (- 1 (* 5 (* v v)))) (log (- (* (* v v) (* v v)) (* 1 1)))) (log (+ (* v v) 1)))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.5s	2989×	body	2560	valid
2.0s	2473×	body	1280	valid
1.4s	8121×	body	80	nan
716.0ms	1240×	body	640	valid
335.0ms	648×	body	320	valid
149.0ms	439×	body	160	valid
30.0ms	211×	body	80	valid