Details

sample296.0ms

Algorithm

intervals

Results

112.0ms	96×	body	2560	valid
94.0ms	83×	body	1280	valid
34.0ms	276×	body	80	nan
22.0ms	36×	body	640	valid
7.0ms	15×	body	320	valid
6.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 3 expressions with local error:

1.0b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite45.0ms

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

25.0ms	(* 5 (* v v))
18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

91.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
50.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.7s

Counts: 83 → 83

prune775.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 3 expressions with local error:

1.0b	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
0.0b	(* 4 (+ (pow v 4) (* v v)))
0.0b	(+ (pow v 4) (* v v))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l` `insert-posit16`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `acos-asin` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

Slowest

19.0ms	(* 4 (+ (pow v 4) (* v v)))
12.0ms	(+ (pow v 4) (* v v))
1.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))

series286.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

179.0ms	(* 4 (+ (pow v 4) (* v v)))
99.0ms	(+ (pow v 4) (* v v))
7.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))

simplify711.0ms

Counts: 53 → 53

prune529.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
0.0b	(* 4 (+ (pow v 4) (* v v)))
0.0b	(exp (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1))))
0.0b	(log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`log-prod` `add-cbrt-cube`
4×	`exp-prod` `insert-posit16` `add-log-exp`
3×	`associate-r` `associate-l` `exp-sum`
2×	`associate-*r/` `log-pow`
1×	`distribute-rgt-in` `acos-asin` `distribute-lft-in` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `rem-exp-log`

Counts

4 → 61

Calls

4 calls:

Slowest

33.0ms	(* 4 (+ (pow v 4) (* v v)))
4.0ms	(exp (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1))))
2.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
2.0ms	(log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(* 4 (+ (pow v 4) (* v v)))
121.0ms	(log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))
10.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
4.0ms	(exp (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1))))

simplify941.0ms

Counts: 73 → 73

prune759.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
1.0b	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
0.0b	(* (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))) (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))))
0.0b	(* 4 (+ (pow v 4) (* v v)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`pow1`
26×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`associate-r` `associate-l`
8×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log`
6×	`log-pow`
5×	`pow-prod-up` `unswap-sqr`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`acos-asin` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `flip3-+` `pow-plus` `sqrt-unprod` `flip-+`

Counts

4 → 96

Calls

4 calls:

Slowest

23.0ms	(* 4 (+ (pow v 4) (* v v)))
13.0ms	(* (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))) (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))))
1.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
1.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))

series276.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(* 4 (+ (pow v 4) (* v v)))
90.0ms	(* (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))) (sqrt (log (acos (- (* 4 (+ (pow v 4) (* v v))) 1)))))
7.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))
6.0ms	(acos (- (* 4 (+ (pow v 4) (* v v))) 1))

simplify1.0s

Counts: 108 → 108

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

regimes318.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.7s	2984×	body	2560	valid
2.5s	2505×	body	1280	valid
875.0ms	7906×	body	80	nan
704.0ms	1240×	body	640	valid
249.0ms	639×	body	320	valid
161.0ms	424×	body	160	valid
31.0ms	208×	body	80	valid