Details

sample57.0ms

Algorithm

intervals

Results

30.0ms

272×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	46	17
4	48	17
done	48	17

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.2b	(/ (* y b) t)
5.0b	(/ (* y z) t)
10.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite159.0ms

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-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

17.0ms	(+ x (/ (* y z) t))
19.0ms	(/ (* y b) t)
19.0ms	(/ (* y z) t)
98.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ (* y z) t))
36.0ms	(/ (* y b) t)
39.0ms	(/ (* y z) t)
172.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	179	1803
1	453	1721
2	1585	1599
done	5000	1595

prune490.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.2b	(/ (* y b) t)
4.5b	(/ y (/ t z))
10.2b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite236.0ms

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-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×	`frac-add` `associate-/l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 150

Calls

4 calls:

45.0ms	(+ x (/ y (/ t z)))
10.0ms	(/ (* y b) t)
9.0ms	(/ y (/ t z))
160.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (/ y (/ t z)))
22.0ms	(/ (* y b) t)
33.0ms	(/ y (/ t z))
398.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.1s

Counts

162 → 162

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	278	2491
1	649	2351
2	2098	2219
done	5001	2213

prune522.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.5b	(/ y (/ t z))
4.7b	(* y (/ b t))
10.2b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
73×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
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-+`
3×	`associate-r/` `associate-l*`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 151

Calls

4 calls:

44.0ms	(+ x (/ y (/ t z)))
8.0ms	(/ y (/ t z))
14.0ms	(* y (/ b t))
119.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (/ t z)))
22.0ms	(/ y (/ t z))
22.0ms	(* y (/ b t))
347.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify1.1s

Counts

163 → 163

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	298	2354
1	698	2224
2	2214	2092
done	5000	2086

prune763.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(* y (/ z t))
4.7b	(* y (/ b t))
10.2b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

6.0ms	(+ x (* y (/ z t)))
13.0ms	(* y (/ z t))
17.0ms	(* y (/ b t))
73.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (* y (/ z t)))
31.0ms	(* y (/ z t))
33.0ms	(* y (/ b t))
130.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

simplify991.0ms

Counts

120 → 120

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	215	1642
1	547	1562
2	1734	1440
done	5000	1436

prune461.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.6b

regimes566.0ms

Accuracy

9.8% (5.4b remaining)

Error of 15.9b against oracle of 10.5b and baseline of 16.5b

bsearch93.0ms

Steps

Iters	Range		Point
9	-6.356211001800764e+22	-107092901304120.48	-9.544161227141533e+20

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	42
1	38	42
done	38	42

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

8322×

body

valid