Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

342×

body

valid

simplify377.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	39	8
3	77	8
4	124	8
5	164	8
6	220	8
7	322	8
8	374	8
9	375	8
done	375	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
69.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.6s

Counts

46 → 46

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	64	405
1	172	344
2	626	312
3	2910	312
done	5000	312

prune113.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 0.253 (* x 0.12))
0.1b	(* x (fma 1 0.253 (* x 0.12)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma 1 0.253 (* x 0.12))
4.0ms	(* x (fma 1 0.253 (* x 0.12)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma 1 0.253 (* x 0.12))
71.0ms	(* x (fma 1 0.253 (* x 0.12)))

simplify1.6s

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	50	376
1	92	287
2	301	249
3	1254	249
done	5000	249

prune94.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* x (cbrt (fma 0.12 x 0.253))) (cbrt (fma 0.12 x 0.253))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 69

Calls

4 calls:

37.0ms	(* (* (* x (cbrt (fma 0.12 x 0.253))) (cbrt (fma 0.12 x 0.253))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
1.0ms	(cbrt (fma 0.12 x 0.253))
1.0ms	(cbrt (fma 0.12 x 0.253))

series639.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (* (* x (cbrt (fma 0.12 x 0.253))) (cbrt (fma 0.12 x 0.253))) (cbrt (+ 0.253 (* x 0.12))))
124.0ms	(cbrt (+ 0.253 (* x 0.12)))
127.0ms	(cbrt (fma 0.12 x 0.253))
123.0ms	(cbrt (fma 0.12 x 0.253))

simplify679.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	207	1734
1	540	1615
2	1962	1323
done	5001	1323

prune309.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.2b	(cbrt (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `associate-*r/` `flip--`

Counts

4 → 54

Calls

4 calls:

0.0ms	(cbrt (fma 0.12 x 0.253))
1.0ms	(cbrt (fma 0.12 x 0.253))
2.0ms	(cbrt (- 0.253 (* x 0.12)))
3.0ms	(cbrt (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (fma 0.12 x 0.253))
125.0ms	(cbrt (fma 0.12 x 0.253))
136.0ms	(cbrt (- 0.253 (* x 0.12)))
264.0ms	(cbrt (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))))

simplify467.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	203	1280
1	490	1211
2	1594	1135
done	5000	1135

prune303.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	13	10
done	13	10

end0.0ms

sample336.0ms

Algorithm

intervals

Results

222.0ms

10709×

body

valid