Details

sample48.0ms

Algorithm

intervals

Results

29.0ms

273×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	45
3	41
2	35
1	26
0	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.8b	(/ (* y b) t)
6.7b	(/ (* y z) t)
11.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
3×	`clear-num` `frac-2neg` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 105

Calls

4 calls:

7.0ms	(+ x (/ (* y z) t))
9.0ms	(/ (* y b) t)
13.0ms	(/ (* y z) t)
77.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ (* y z) t))
32.0ms	(/ (* y b) t)
22.0ms	(/ (* y z) t)
145.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	1740
1	480
0	183

prune755.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
3.8b	(/ (* y b) t)
4.6b	(/ y (/ t z))
11.4b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

11.0ms	(+ x (/ y (/ t z)))
9.0ms	(/ (* y b) t)
10.0ms	(/ y (/ t z))
65.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ y (/ t z)))
21.0ms	(/ (* y b) t)
21.0ms	(/ y (/ t z))
309.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.6s

Counts

166 → 166

Iterations

Iter	Nodes
done	5010
2	2382
1	722
0	282

prune817.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.6b	(/ y (/ t z))
6.2b	(* y (/ b t))
11.4b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
73×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
16×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
7×	`div-inv` `associate-/l*`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-l` `associate-*r/`
2×	`clear-num` `frac-2neg` `frac-add` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative`

Counts

4 → 155

Calls

4 calls:

13.0ms	(+ x (/ y (/ t z)))
11.0ms	(/ y (/ t z))
12.0ms	(* y (/ b t))
49.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ y (/ t z)))
21.0ms	(/ y (/ t z))
23.0ms	(* y (/ b t))
334.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify1.8s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	2398
1	768
0	302

prune969.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (/ y t)) x)
4.4b	(* (/ y t) b)
7.3b	(* z (/ y t))
11.4b	(/ (+ (* z (/ y t)) x) (+ (+ (* (/ y t) b) 1.0) a))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
16×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
8×	`pow1`
6×	`add-log-exp`
4×	`associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 114

Calls

4 calls:

15.0ms	(+ (* z (/ y t)) x)
18.0ms	(* (/ y t) b)
16.0ms	(* z (/ y t))
83.0ms	(/ (+ (* z (/ y t)) x) (+ (+ (* (/ y t) b) 1.0) a))

series230.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* z (/ y t)) x)
26.0ms	(* (/ y t) b)
21.0ms	(* z (/ y t))
135.0ms	(/ (+ (* z (/ y t)) x) (+ (+ (* (/ y t) b) 1.0) a))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	1739
1	500
0	195

prune846.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.2b

regimes827.0ms

Accuracy

59.4% (2.4b remaining)

Error of 12.5b against oracle of 10.1b and baseline of 16.0b

bsearch127.0ms

Steps

Iters	Range		Point
8	1.9815072353608895e-70	1.8788411871740543e-67	6.1634254372012e-68
4	-3.2364571778252813e-25	-2.10440196897276e-25	-2.2812855953559667e-25

simplify7.0ms

Iterations

Iter	Nodes
done	48
1	48
0	31

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

8295×

body

valid