Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

340×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	115	8
5	175	8
6	240	8
7	437	8
8	1228	8
9	4534	8
done	5000	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- y x) (/ z t)))
79.0ms	(* (- y x) (/ z t))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	119	705
1	318	665
2	1555	603
done	5001	576

prune474.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.9b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
117.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt t)
294.0ms	(cbrt t)
319.0ms	(cbrt t)
121.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts

114 → 114

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	155	1459
1	480	1403
2	2764	1083
done	5001	996

prune742.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
1.3b	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
94×	`times-frac`
89×	`cbrt-prod`
85×	`add-exp-log`
63×	`*-un-lft-identity`
62×	`associate-l`
51×	`add-cube-cbrt`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
23×	`associate-r`
15×	`unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 197

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
110.0ms	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
186.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.7s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt t)
331.0ms	(cbrt t)
967.0ms	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
126.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify3.0s

Counts

209 → 209

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	287	4096
1	922	3981
2	4931	3385
done	5001	3383

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))
7.1b	(* (- y x) (/ z t))
7.1b	(* (- y x) (/ z t))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 136

Calls

4 calls:

23.0ms	(cbrt (* (- y x) (/ z t)))
65.0ms	(* (- y x) (/ z t))
54.0ms	(* (- y x) (/ z t))
55.0ms	(* (- y x) (/ z t))

series474.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (* (- y x) (/ z t)))
94.0ms	(* (- y x) (/ z t))
67.0ms	(* (- y x) (/ z t))
68.0ms	(* (- y x) (/ z t))

simplify1.2s

Counts

148 → 148

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	166	1694
1	395	1636
2	1774	1478
done	5000	1467

prune964.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes785.0ms

Accuracy

9.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	47
1	28	35
done	28	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

891.0ms

10666×

body

valid