Details

sample207.0ms

Algorithm

intervals

Results

86.0ms	94×	body	2560	valid
52.0ms	84×	body	1280	valid
26.0ms	284×	body	80	nan
18.0ms	40×	body	640	valid
6.0ms	18×	body	320	valid
3.0ms	13×	body	160	valid
1.0ms	7×	body	80	valid

simplify213.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

213.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0b	(- 1 (* 5 (* v v)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

Slowest

31.0ms	(* 5 (* v v))
18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
5.0ms	(- 1 (* 5 (* v v)))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(- 1 (* 5 (* v v)))
71.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
28.0ms	(* 5 (* v v))
4.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify8.0s

Counts

74 → 99

Calls

74 calls:

Slowest

492.0ms	(/ 1 (- (* v v) 1))
395.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
382.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
299.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
267.0ms	(/ (exp 1) (exp (* 5 (* v v))))

prune931.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

21.6b	(cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))
0.3b	(acos (/ (- 1 (cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))) (- (* v v) 1)))
0.1b	(* v (* v v))
0.1b	(* v (* v v))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-up`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `acos-asin` `pow1/3`

Counts

4 → 69

Calls

4 calls:

Slowest

254.0ms	(cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))
26.0ms	(* v (* v v))
14.0ms	(* v (* v v))
2.0ms	(acos (/ (- 1 (cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))) (- (* v v) 1)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))
62.0ms	(* v (* v v))
51.0ms	(* v (* v v))
7.0ms	(acos (/ (- 1 (cbrt (* 125 (* (* v (* v v)) (* v (* v v)))))) (- (* v v) 1)))

simplify3.2s

Counts

41 → 81

Calls

41 calls:

Slowest

557.0ms	(* (* (* v v) v) (* (* (* v v) v) (* (* v v) v)))
545.0ms	(* (* (* v v) v) (* (* (* v v) (* v v)) (* v v)))
468.0ms	(* (* (* v v) v) (* (* (* v v) v) (* (* v v) v)))
411.0ms	(* (* (* v v) v) (* (* (* v v) (* v v)) (* v v)))
361.0ms	(acos (/ (- 1 (* (cbrt 125) (pow v 2))) (- (pow v 2) 1)))

prune717.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b	(* 5 (* v v))
0.0b	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite51.0ms

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

23.0ms	(* 5 (* v v))
20.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
5.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
49.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify8.8s

Counts

81 → 102

Calls

81 calls:

Slowest

380.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
318.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
313.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
312.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
308.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))
0.2b	(* 5 (* v v))
0.0b	(/ 1 (+ v 1))
0.0b	(* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
52×	`times-frac`
35×	`add-exp-log`
33×	`add-cube-cbrt`
28×	`associate-r`
23×	`add-cbrt-cube`
21×	`associate-l`
12×	`pow1`
11×	`prod-exp`
10×	`div-exp`
7×	`cbrt-unprod` `distribute-lft-out` `unswap-sqr`
6×	`associate-/r/` `difference-of-squares`
5×	`cbrt-undiv`
4×	`associate-/r*` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `div-inv` `associate-/l*` `distribute-lft-out--`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`acos-asin` `frac-times` `clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `pow-flip` `flip--` `inv-pow`

Counts

4 → 143

Calls

4 calls:

Slowest

59.0ms	(* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))
27.0ms	(* 5 (* v v))
16.0ms	(/ 1 (+ v 1))
1.0ms	(acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))
45.0ms	(* 5 (* v v))
23.0ms	(/ 1 (+ v 1))
3.0ms	(acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))

simplify12.9s

Counts

130 → 155

Calls

130 calls:

Slowest

786.0ms	(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (- 1 v) (+ v 1)))))
517.0ms	(/ (* (* 1 1) 1) (* (* (+ v 1) (+ v 1)) (+ v 1)))
469.0ms	(* (/ (* (* 1 1) 1) (* (* (+ v 1) (+ v 1)) (+ v 1))) (/ (* (* (- 1 (* 5 (* v v))) (- 1 (* 5 (* v v)))) (- 1 (* 5 (* v v)))) (* (* (- v 1) (- v 1)) (- v 1))))
412.0ms	(+ (- (log 1) (log (+ v 1))) (log (/ (- 1 (* 5 (* v v))) (- v 1))))
407.0ms	(+ (- 0 (log (+ v 1))) (log (/ (- 1 (* 5 (* v v))) (- v 1))))

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.0s	2988×	body	2560	valid
2.4s	2552×	body	1280	valid
1.2s	8138×	body	80	nan
693.0ms	1228×	body	640	valid
233.0ms	561×	body	320	valid
113.0ms	456×	body	160	valid
28.0ms	215×	body	80	valid