Details

sample289.0ms

Algorithm

intervals

Results

47.0ms	21×	body	1280	valid
44.0ms	303×	body	80	nan
41.0ms	38×	body	640	valid
22.0ms	169×	body	80	valid
14.0ms	20×	body	1280	nan
7.0ms	19×	body	320	valid
7.0ms	14×	body	640	nan
4.0ms	11×	body	320	nan
2.0ms	9×	body	160	valid
2.0ms	8×	body	160	nan

simplify1.9s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.5b

localize60.0ms

Local error

Found 4 expressions with local error:

19.5b	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
12.2b	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
0.4b	(* (sqrt 2) t)
0.0b	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`sqrt-div` `insert-posit16`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

Slowest

67.0ms	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
46.0ms	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
39.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
15.0ms	(* (sqrt 2) t)

series2.3s

Counts

4 → 12

Calls

4 calls:

Slowest

1.5s	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
518.0ms	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
272.0ms	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
69.0ms	(* (sqrt 2) t)

simplify3.6s

Counts: 96 → 96

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.7b

localize50.0ms

Local error

Found 4 expressions with local error:

26.0b	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
9.0b	(/ (* (* 2 t) (* 2 t)) x)
5.5b	(/ (* l l) x)
3.2b	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `times-frac` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `sqrt-div` `frac-add` `associate-*r/` `flip-+` `insert-posit16`
3×	`sqrt-prod`
2×	`associate-+l+` `clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 84

Calls

4 calls:

Slowest

38.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))
32.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
26.0ms	(/ (* (* 2 t) (* 2 t)) x)
9.0ms	(/ (* l l) x)

series542.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

391.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x)))
93.0ms	(+ (* 2 (+ (* t t) (/ (* l l) x))) (/ (* (* 2 t) (* 2 t)) x))
37.0ms	(/ (* (* 2 t) (* 2 t)) x)
21.0ms	(/ (* l l) x)

simplify1.1s

Counts: 96 → 96

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize53.0ms

Local error

Found 4 expressions with local error:

26.0b	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
9.0b	(/ (* (* 2 t) (* 2 t)) x)
3.2b	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
0.4b	(+ (* t t) (/ l (/ x l)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`sqrt-div` `frac-add` `associate-*r/` `insert-posit16`
3×	`associate-/r*` `times-frac` `sqrt-prod`
2×	`+-commutative` `associate-+l+` `sum-log`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `div-inv` `associate-/l*`

Counts

4 → 74

Calls

4 calls:

Slowest

69.0ms	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
37.0ms	(/ (* (* 2 t) (* 2 t)) x)
31.0ms	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
10.0ms	(+ (* t t) (/ l (/ x l)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

355.0ms	(sqrt (+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x)))
91.0ms	(+ (* 2 (+ (* t t) (/ l (/ x l)))) (/ (* (* 2 t) (* 2 t)) x))
38.0ms	(+ (* t t) (/ l (/ x l)))
29.0ms	(/ (* (* 2 t) (* 2 t)) x)

simplify729.0ms

Counts: 86 → 86

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize39.0ms

Local error

Found 4 expressions with local error:

26.0b	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x)))
9.0b	(/ (* (* 2 t) (* 2 t)) x)
3.2b	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x))
2.2b	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
31×	`add-cbrt-cube`
14×	`cbrt-undiv` `div-exp`
12×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `times-frac`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1` `associate-*r/`
4×	`flip3-+` `sqrt-div` `frac-add` `flip-+` `insert-posit16`
3×	`sqrt-prod` `associate-/l/`
2×	`associate-+l+` `clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`distribute-rgt-in` `frac-times` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-*l/`

Counts

4 → 99

Calls

4 calls:

Slowest

48.0ms	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x))
44.0ms	(/ (* (* 2 t) (* 2 t)) x)
38.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x)))
28.0ms	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))

series553.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

356.0ms	(sqrt (+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x)))
98.0ms	(+ (* 2 (+ (* t t) (/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x)))) (/ (* (* 2 t) (* 2 t)) x))
55.0ms	(/ (* (/ l (cbrt x)) (/ l (cbrt x))) (cbrt x))
44.0ms	(/ (* (* 2 t) (* 2 t)) x)

simplify1.2s

Counts: 111 → 111

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

regimes441.0ms

Accuracy

76.1% (5.5b remaining)

Error of 9.2b against oracle of 3.8b and baseline of 26.7b

bsearch1.2s

end0.0ms

sample8.8s

Algorithm

intervals

Results

2.6s	10129×	body	80	nan
1.3s	859×	body	1280	valid
1.0s	5126×	body	80	valid
961.0ms	573×	body	640	nan
839.0ms	1027×	body	640	valid
701.0ms	584×	body	1280	nan
374.0ms	636×	body	320	valid
206.0ms	380×	body	320	nan
147.0ms	352×	body	160	valid
82.0ms	189×	body	160	nan