Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

278×

body

valid

simplify250.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	239
8	239
7	236
6	216
5	179
4	132
3	82
2	44
1	19
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (- y t))
6.5b	(* (/ 2.0 (- y t)) (/ x z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 95

Calls

2 calls:

9.0ms	(/ 2.0 (- y t))
38.0ms	(* (/ 2.0 (- y t)) (/ x z))

series259.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ 2.0 (- y t))
198.0ms	(* (/ 2.0 (- y t)) (/ x z))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2315
1	455
0	159

prune573.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
21×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
5×	`associate-/r*` `times-frac`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`pow1/3` `associate-/l/`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `associate-l/` `div-inv` `flip--` `associate-/l`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
76.0ms	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt x)
285.0ms	(cbrt x)
274.0ms	(cbrt x)
247.0ms	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

simplify1.8s

Counts

83 → 83

Iterations

Iter	Nodes
done	5003
2	1813
1	358
0	125

prune525.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
1.2b	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
27×	`cbrt-prod`
21×	`add-cbrt-cube`
16×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*` `times-frac`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`pow1/3` `associate-/l/`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `associate-l/` `div-inv` `flip--` `associate-/l`

Counts

4 → 80

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
80.0ms	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

series1.4s

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt (cbrt x))
390.0ms	(cbrt (cbrt x))
367.0ms	(cbrt (cbrt x))
256.0ms	(/ (* 2.0 (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z)))) (- y t))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1739
1	370
0	136

prune707.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(* (/ 2.0 (- y t)) x)
3.8b	(/ (* (/ 2.0 (- y t)) x) z)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
34×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-l`
19×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l*`
3×	`associate-r` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*l/` `flip--` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 101

Calls

3 calls:

11.0ms	(/ 2.0 (- y t))
30.0ms	(* (/ 2.0 (- y t)) x)
13.0ms	(/ (* (/ 2.0 (- y t)) x) z)

series326.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ 2.0 (- y t))
102.0ms	(* (/ 2.0 (- y t)) x)
169.0ms	(/ (* (/ 2.0 (- y t)) x) z)

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1952
1	372
0	153

prune590.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes313.0ms

Accuracy

56.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.6b

bsearch105.0ms

Steps

Iters	Range		Point
9	2.777137017098532e-16	1.167960668237619e-09	2.5642798276381757e-14
8	-3.056849805244445e-67	-6.333527607441475e-72	-2.78562324238337e-67

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

484.0ms

8741×

body

valid