Details

sample40.0ms

Algorithm

intervals

Results

21.0ms

273×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize32.0ms

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)))

rewrite92.0ms

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:

6.0ms	(+ x (/ (* y z) t))
9.0ms	(/ (* y b) t)
9.0ms	(/ (* y z) t)
67.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ (* y z) t))
24.0ms	(/ (* y b) t)
22.0ms	(/ (* y z) t)
130.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	1740
1	480
0	183

prune654.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.5b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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:

20.0ms	(+ (/ y (/ t z)) x)
14.0ms	(/ (* y b) t)
9.0ms	(/ y (/ t z))
86.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (/ (* y b) t)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (/ y (/ t z)) x)
25.0ms	(/ (* y b) t)
22.0ms	(/ y (/ t z))
501.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5006
2	2387
1	722
0	282

prune939.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.2b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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:

21.0ms	(+ (/ y (/ t z)) x)
10.0ms	(/ y (/ t z))
14.0ms	(* y (/ b t))
74.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (* y (/ b t))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (/ y (/ t z)) x)
21.0ms	(/ y (/ t z))
21.0ms	(* y (/ b t))
535.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (* y (/ b t))))

simplify1.5s

Counts

167 → 167

Iterations

Iter	Nodes
done	5010
2	2417
1	768
0	302

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

localize33.0ms

Local error

Found 4 expressions with local error:

11.4b	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (* (* y (* (cbrt (/ b t)) (cbrt (/ b t)))) (cbrt (/ b t)))))
18.4b	(cbrt (/ b t))
18.4b	(cbrt (/ b t))
18.4b	(cbrt (/ b t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
39×	`cbrt-prod` `times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`cbrt-div`
18×	`associate-*r/`
16×	`associate-/r/`
14×	`frac-add`
10×	`frac-times` `associate-*l/`
9×	`flip3-+` `flip-+`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `div-inv` `distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 119

Calls

4 calls:

64.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (* (* y (* (cbrt (/ b t)) (cbrt (/ b t)))) (cbrt (/ b t)))))
1.0ms	(cbrt (/ b t))
6.0ms	(cbrt (/ b t))
2.0ms	(cbrt (/ b t))

series702.0ms

Counts

4 → 12

Calls

4 calls:

493.0ms	(/ (+ (/ y (/ t z)) x) (+ (+ a 1.0) (* (* y (* (cbrt (/ b t)) (cbrt (/ b t)))) (cbrt (/ b t)))))
76.0ms	(cbrt (/ b t))
65.0ms	(cbrt (/ b t))
66.0ms	(cbrt (/ b t))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	1502
1	498
0	225

prune958.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.2b

regimes1.0s

Accuracy

50.8% (3.0b remaining)

Error of 13.1b against oracle of 10.1b and baseline of 16.2b

bsearch140.0ms

Steps

Iters	Range		Point
5	5.147360360845758e-183	1.938828270293054e-182	1.8936363334597205e-182
10	-6.800873568493599e-68	-2.8772993985628416e-82	-3.309535570402011e-68

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample967.0ms

Algorithm

intervals

Results

704.0ms

8295×

body

valid