Details

sample207.0ms

Algorithm

intervals

Results

82.0ms	94×	body	2560	valid
57.0ms	84×	body	1280	valid
25.0ms	284×	body	80	nan
17.0ms	40×	body	640	valid
7.0ms	18×	body	320	valid
3.0ms	13×	body	160	valid
1.0ms	7×	body	80	valid

simplify181.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

181.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

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)))

rewrite46.0ms

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

19.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
13.0ms	(* 5 (* v v))
10.0ms	(- 1 (* 5 (* v v)))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
92.0ms	(- 1 (* 5 (* v v)))
53.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify7.7s

Counts

74 → 99

Calls

74 calls:

Slowest

382.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
372.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
302.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
296.0ms	(/ (- 1 (* 5 (* v v))) (sqrt (- (* v v) 1)))
258.0ms	(/ (exp 1) (exp (* 5 (* v v))))

prune857.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

29.7b	(cbrt (* 5 (* v v)))
29.7b	(cbrt (* 5 (* v v)))
29.7b	(cbrt (* 5 (* v v)))
0.3b	(* (cbrt (* 5 (* v v))) (cbrt (* 5 (* v v))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

Slowest

43.0ms	(* (cbrt (* 5 (* v v))) (cbrt (* 5 (* v v))))
17.0ms	(cbrt (* 5 (* v v)))
9.0ms	(cbrt (* 5 (* v v)))
8.0ms	(cbrt (* 5 (* v v)))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

405.0ms	(* (cbrt (* 5 (* v v))) (cbrt (* 5 (* v v))))
329.0ms	(cbrt (* 5 (* v v)))
324.0ms	(cbrt (* 5 (* v v)))
320.0ms	(cbrt (* 5 (* v v)))

simplify1.9s

Counts

45 → 74

Calls

45 calls:

Slowest

166.0ms	(* (pow (pow v 4) 1/3) (pow (cbrt 5) 2))
150.0ms	(* (pow (pow v 4) 1/3) (pow (cbrt 5) 2))
143.0ms	(* (pow (pow v 4) 1/3) (pow (cbrt 5) 2))
131.0ms	(* (* (cbrt (cbrt (* 5 (* v v)))) (cbrt (cbrt (* 5 (* v v))))) (* (cbrt (cbrt (* 5 (* v v)))) (cbrt (cbrt (* 5 (* v v))))))
127.0ms	(* (* 5 (* v v)) (* 5 (* v v)))

prune955.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite35.0ms

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

18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
13.0ms	(* 5 (* v v))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
45.0ms	(* 5 (* v v))
4.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify9.6s

Counts

81 → 102

Calls

81 calls:

Slowest

859.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
408.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
340.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
330.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
296.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune987.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

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)))

rewrite77.0ms

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

34.0ms	(* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))
32.0ms	(* 5 (* v v))
7.0ms	(/ 1 (+ v 1))
2.0ms	(acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1)))
55.0ms	(* 5 (* v v))
23.0ms	(/ 1 (+ v 1))
4.0ms	(acos (* (/ 1 (+ v 1)) (/ (- 1 (* 5 (* v v))) (- v 1))))

simplify12.6s

Counts

130 → 155

Calls

130 calls:

Slowest

464.0ms	(/ (* (* 1 1) 1) (* (* (+ v 1) (+ v 1)) (+ v 1)))
426.0ms	(+ (- (log 1) (log (+ v 1))) (log (/ (- 1 (* 5 (* v v))) (- v 1))))
401.0ms	(* (/ (* (* 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))))
393.0ms	(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (- 1 v) (+ v 1)))))
365.0ms	(+ (- 0 (log (+ v 1))) (log (/ (- 1 (* 5 (* v v))) (- v 1))))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.0s	2988×	body	2560	valid
2.4s	2552×	body	1280	valid
960.0ms	8138×	body	80	nan
752.0ms	1228×	body	640	valid
237.0ms	561×	body	320	valid
147.0ms	456×	body	160	valid
28.0ms	215×	body	80	valid