Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

268×

body

valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
5.0b	(/ (* y b) t)
5.6b	(/ (* y z) t)
9.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite133.0ms

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)
77.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ a 1.0) (/ (* y b) t))
21.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
113.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify47.0ms

Counts: 118 → 118

prune316.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.4b	(/ y (/ t z))
5.0b	(/ (* y b) t)
9.5b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

31.0ms	(+ (+ a 1.0) (/ (* y b) t))
9.0ms	(/ y (/ t z))
10.0ms	(/ (* y b) t)
118.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ a 1.0) (/ (* y b) t))
23.0ms	(/ y (/ t z))
26.0ms	(/ (* y b) t)
255.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Counts: 167 → 167

prune490.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* y (/ b t)))
4.4b	(/ y (/ t z))
5.3b	(* y (/ b t))
9.5b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
71×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
13×	`associate-r`
9×	`add-log-exp`
7×	`div-inv` `associate-/l*`
6×	`pow1`
5×	`cbrt-undiv` `flip3-+` `associate-*r/` `div-exp` `associate-/r/` `flip-+`
4×	`frac-add` `distribute-lft-out`
3×	`associate-l` `sum-log`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

29.0ms	(+ (+ a 1.0) (* y (/ b t)))
9.0ms	(/ y (/ t z))
14.0ms	(* y (/ b t))
114.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ a 1.0) (* y (/ b t)))
21.0ms	(/ y (/ t z))
27.0ms	(* y (/ b t))
262.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify73.0ms

Counts: 166 → 166

prune537.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.8b	(* y (/ z t))
5.0b	(/ (* y b) t)
9.5b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

6.0ms	(+ x (* y (/ z t)))
16.0ms	(* y (/ z t))
10.0ms	(/ (* y b) t)
63.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y (/ z t)))
20.0ms	(* y (/ z t))
21.0ms	(/ (* y b) t)
111.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Counts: 117 → 117

prune282.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.6b

regimes431.0ms

Accuracy

57.3% (2.6b remaining)

Error of 12.7b against oracle of 10.1b and baseline of 16.3b

bsearch49.0ms

Steps

Iters	Range		Point
1	0.055376248680875824	0.05800878298365608	0.05603438225657088
6	-1.9152571828775416e-78	-3.131459155485279e-79	-1.7168553005719686e-78

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

599.0ms

8296×

body

valid