Details

sample47.0ms

Algorithm

intervals

Results

23.0ms

264×

body

valid

simplify42.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.3b	(/ (* y b) t)
4.6b	(/ (* y z) t)
12.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite150.0ms

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:

39.0ms	(+ (+ a 1.0) (/ (* y b) t))
10.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
89.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ a 1.0) (/ (* y b) t))
22.0ms	(/ (* y b) t)
31.0ms	(/ (* y z) t)
165.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify540.0ms

Counts: 118 → 118

prune422.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.3b	(/ (* y b) t)
4.6b	(/ (* y z) t)
11.7b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`add-cbrt-cube`
11×	`associate-/r*`
8×	`div-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `flip3-+` `prod-exp` `flip-+`
5×	`associate-/l*`
4×	`associate-l` `frac-add` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 136

Calls

4 calls:

59.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
14.0ms	(/ (* y b) t)
15.0ms	(/ (* y z) t)
159.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
23.0ms	(/ (* y b) t)
23.0ms	(/ (* y z) t)
115.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify946.0ms

Counts: 148 → 148

prune533.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
3.7b	(/ (* y b) (* (cbrt t) (cbrt t)))
4.6b	(/ (* y z) t)
12.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
61×	`times-frac`
41×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`add-cbrt-cube`
21×	`distribute-lft-out`
18×	`cbrt-prod`
16×	`cbrt-undiv` `div-exp`
15×	`associate-/r*`
11×	`div-inv` `associate-/l*`
9×	`prod-exp` `cbrt-unprod`
4×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`frac-add`

Counts

4 → 151

Calls

4 calls:

21.0ms	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
21.0ms	(/ (* y b) (* (cbrt t) (cbrt t)))
14.0ms	(/ (* y z) t)
162.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
165.0ms	(/ (* y b) (* (cbrt t) (cbrt t)))
19.0ms	(/ (* y z) t)
151.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

simplify1.1s

Counts: 163 → 163

prune582.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 11.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.6b	(/ (* y z) t)
5.6b	(/ b (/ t y))
12.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* 1 (/ b (/ t y)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
88×	`*-un-lft-identity`
59×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num`
2×	`associate-*r/` `frac-add` `associate-/l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 150

Calls

4 calls:

13.0ms	(+ x (/ (* y z) t))
13.0ms	(/ (* y z) t)
12.0ms	(/ b (/ t y))
92.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* 1 (/ b (/ t y)))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ (* y z) t))
20.0ms	(/ (* y z) t)
21.0ms	(/ b (/ t y))
154.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* 1 (/ b (/ t y)))))

simplify1.1s

Counts: 162 → 162

prune656.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.9b

regimes454.0ms

Accuracy

-9.1% (6.9b remaining)

Error of 16.6b against oracle of 9.7b and baseline of 16.0b

bsearch129.0ms

Steps

Iters	Range		Point
6	1.0242870995611435e-16	5.417009055590288e-16	1.055181792592207e-16
7	-2.390334231379266e-54	-1.28222316806023e-55	-2.2817596076120453e-54

simplify506.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

8266×

body

valid