Details

sample56.0ms

Algorithm

intervals

Results

26.0ms

261×

body

valid

simplify55.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.8b	(/ (* y b) t)
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

35.0ms	(+ (+ a 1.0) (/ (* y b) t))
13.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
83.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ a 1.0) (/ (* y b) t))
25.0ms	(/ (* y b) t)
21.0ms	(/ (* y z) t)
113.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify799.0ms

Counts: 118 → 118

prune451.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
4.8b	(* (* y b) (/ 1 t))
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
30×	`*-un-lft-identity`
24×	`times-frac`
23×	`add-cbrt-cube`
22×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`frac-add`
7×	`flip3-+` `div-exp` `cbrt-unprod` `flip-+`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `associate-r/` `un-div-inv` `associate-/l`
4×	`distribute-lft-out`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-l` `*-commutative`

Counts

4 → 115

Calls

4 calls:

46.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
43.0ms	(* (* y b) (/ 1 t))
14.0ms	(/ (* y z) t)
100.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
29.0ms	(* (* y b) (/ 1 t))
32.0ms	(/ (* y z) t)
154.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify1.0s

Counts: 127 → 127

prune472.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 11.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ t (* y b)))
4.6b	(/ t (* y b))
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

24.0ms	(/ 1 (/ t (* y b)))
12.0ms	(/ t (* y b))
15.0ms	(/ (* y z) t)
424.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (/ t (* y b)))
22.0ms	(/ t (* y b))
26.0ms	(/ (* y z) t)
157.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify851.0ms

Counts: 167 → 167

prune431.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 11.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (/ t y) b))
3.1b	(/ (/ t y) b)
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

499×	`times-frac`
301×	`*-un-lft-identity`
245×	`add-sqr-sqrt` `add-cube-cbrt`
56×	`associate-/r*`
38×	`distribute-lft-out`
37×	`add-exp-log`
34×	`div-inv`
25×	`add-cbrt-cube`
21×	`div-exp` `associate-/l*`
12×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
2×	`frac-add`
1×	`pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 348

Calls

4 calls:

20.0ms	(/ 1 (/ (/ t y) b))
12.0ms	(/ (/ t y) b)
10.0ms	(/ (* y z) t)
199.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (/ (/ t y) b))
22.0ms	(/ (/ t y) b)
29.0ms	(/ (* y z) t)
173.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify758.0ms

Counts: 360 → 360

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.0b

regimes541.0ms

Accuracy

0% (5.4b remaining)

Error of 15.7b against oracle of 10.3b and baseline of 15.7b

bsearch91.0ms

Steps

Iters	Range		Point
6	2.0157789346482813e-35	1.09678254414788e-34	2.270696878428664e-35
7	-4.24910696022173e-16	-3.55692249719555e-18	-3.472389822925871e-16

simplify523.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

746.0ms

8284×

body

valid