Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify12.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (69.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	190	8
5	409	8
6	586	8
7	695	8
8	901	8
9	1051	8
10	1256	8
11	1500	8
12	2071	8
13	2349	8
14	2564	8
15	2572	8
done	2572	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

35.0ms	(* (- 1.0 y) z)
19.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- 1.0 y) z)
73.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify3.0s

Counts

62 → 62

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	114	726
1	245	706
2	727	616
3	2853	565
done	5001	523

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.2b	(* (* x z) (- y 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

24.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms	(* (* x z) (- y 1.0))

series165.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
76.0ms	(* (* x z) (- y 1.0))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	160	1547
1	426	1254
2	1323	1004
done	5001	919

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (* z (* x (- y 1.0))))
0.0b	(* x (- y 1.0))
3.2b	(* z (* x (- y 1.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
70×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
66×	`add-cube-cbrt`
44×	`associate-+r+`
10×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
6×	`associate-r/` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 170

Calls

3 calls:

36.0ms	(+ (* x 1.0) (* z (* x (- y 1.0))))
29.0ms	(* x (- y 1.0))
64.0ms	(* z (* x (- y 1.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x 1.0) (* z (* x (- y 1.0))))
40.0ms	(* x (- y 1.0))
56.0ms	(* z (* x (- y 1.0)))

simplify1.5s

Counts

179 → 179

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	255	3247
1	579	2547
2	1366	2021
done	5000	1837

prune403.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
3.2b	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

rewrite775.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
60×	`associate-*r/`
38×	`cbrt-prod`
35×	`add-sqr-sqrt` `flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`frac-times`
25×	`pow1`
20×	`add-exp-log`
16×	`associate-*l/`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`pow-prod-down`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`swap-sqr`
9×	`associate-r`
8×	`pow1/3` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

6.0ms	(cbrt (- y 1.0))
5.0ms	(cbrt (- y 1.0))
51.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
704.0ms	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (- y 1.0))
120.0ms	(cbrt (- y 1.0))
167.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
89.0ms	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

simplify1.7s

Counts

156 → 156

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	286	2712
1	747	2560
2	2389	2194
done	5000	2026

prune540.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes199.0ms

Accuracy

71.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	55
1	28	45
done	28	45

end0.0ms

sample1.4s

Algorithm

intervals

Results

470.0ms

10086×

body

valid