Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

271×

body

valid

simplify47.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.0b	(/ (* y b) t)
4.4b	(/ (* y z) t)
10.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite158.0ms

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:

33.0ms	(+ (+ a 1.0) (/ (* y b) t))
10.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
101.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ a 1.0) (/ (* y b) t))
30.0ms	(/ (* y b) t)
28.0ms	(/ (* y z) t)
151.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify703.0ms

Counts: 118 → 118

prune405.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
3.1b	(* (* y b) (/ 1 t))
4.4b	(/ (* y z) t)
10.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite190.0ms

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:

52.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
36.0ms	(* (* y b) (/ 1 t))
10.0ms	(/ (* y z) t)
88.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
32.0ms	(* (* y b) (/ 1 t))
29.0ms	(/ (* y z) t)
144.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify1.1s

Counts: 127 → 127

prune455.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ a (+ (/ (* y b) t) 1.0)))
3.0b	(/ (* y b) t)
4.4b	(/ (* y z) t)
9.7b	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ (/ (* y b) t) 1.0))))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`add-exp-log`
22×	`distribute-lft-out`
21×	`associate-r` `add-cbrt-cube`
11×	`associate-/r*`
8×	`div-exp`
7×	`pow1`
6×	`cbrt-undiv` `prod-exp`
5×	`associate-/l*`
4×	`flip3-+` `associate-l` `associate-/r/` `cbrt-unprod` `flip-+` `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 → 132

Calls

4 calls:

67.0ms	(/ 1 (+ a (+ (/ (* y b) t) 1.0)))
10.0ms	(/ (* y b) t)
11.0ms	(/ (* y z) t)
231.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ (/ (* y b) t) 1.0))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ 1 (+ a (+ (/ (* y b) t) 1.0)))
22.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
114.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ (/ (* y b) t) 1.0))))

simplify766.0ms

Counts: 144 → 144

prune361.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.2b

localize32.0ms

Local error

Found 4 expressions with local error:

5.2b	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t)))) (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))))
9.4b	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
9.4b	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
9.4b	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
68×	`frac-add`
52×	`flip3-+` `flip-+`
48×	`associate-/r/`
40×	`associate-*r/`
36×	`frac-times`
34×	`un-div-inv`
13×	`*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-*l/`
4×	`pow1` `times-frac` `associate-/l*` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 124

Calls

4 calls:

128.0ms	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t)))) (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))))
27.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
20.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
18.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.4s	(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t)))) (cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))))
197.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
175.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))
177.0ms	(cbrt (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify690.0ms

Counts: 136 → 136

prune706.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.2b

regimes543.0ms

Accuracy

-7.2% (6.2b remaining)

Error of 16.9b against oracle of 10.7b and baseline of 16.5b

bsearch57.0ms

Steps

Iters	Range		Point
6	1.456227388967378e-39	1.4380306700572302e-38	6.96560110865768e-39

simplify441.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

8280×

body

valid