Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

350×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	26	8
3	56	8
4	98	8
5	142	8
6	180	8
7	214	8
8	257	8
9	343	8
10	455	8
11	520	8
12	587	8
13	644	8
14	684	8
15	832	8
16	1086	8
17	1441	8
18	2081	8
19	2754	8
20	2858	8
21	2864	8
done	2864	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

3.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	119	705
1	307	661
2	1096	603
done	5000	576

prune163.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

1.8b	(fma (/ z t) (- y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ z t) (- y x) x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ z t) (- y x) x)

simplify948.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	89	138
3	214	123
4	944	123
done	5001	123

prune48.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
11.6b	(cbrt (/ z t))
11.6b	(cbrt (/ z t))
11.6b	(cbrt (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

27.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series314.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
65.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))
62.0ms	(cbrt (/ z t))

simplify1.4s

Counts

118 → 118

Iterations

Useful iterations: 3 (452.0ms)

Iter	Nodes	Cost
0	166	1441
1	349	1351
2	892	1239
3	2653	1214
done	5000	1214

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
1.6b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
11.6b	(cbrt (/ z t))
11.6b	(cbrt (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
14×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

0.0ms	(cbrt z)
25.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
5.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series428.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
125.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
60.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: 3 (541.0ms)

Iter	Nodes	Cost
0	183	1265
1	381	1181
2	1003	1055
3	3230	1033
done	5001	1033

prune365.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

-56.2% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 1.7b

bsearch49.0ms

Steps

Iters	Range		Point
10	-2.1864056485080288e-193	-3.5297198722197455e-203	-2.1689547929947868e-193

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	14	21
done	14	21

end0.0ms

sample552.0ms

Algorithm

intervals

Results

282.0ms

10762×

body

valid