Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

346×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)

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:

1.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53

prune28.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
31.0ms	(+ 0.253 (* x 0.12))
62.0ms	(* x (+ 0.253 (* x 0.12)))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	259	349
1	1106	284
2	5001	274

prune118.0ms

Filtered

71 candidates to 55 candidates (77.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	66	9	75

Merged error: 0.0b

Counts

75 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
0.2b	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`prod-diff`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-/r*`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 110

Calls

4 calls:

3.0ms	(- 0.253 (* x 0.12))
13.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
10.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
11.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 0.253 (* x 0.12))
66.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
103.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
46.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

simplify84.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	379	867
1	2372	588
2	5002	588

prune192.0ms

Filtered

122 candidates to 85 candidates (69.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	123	8	131

Merged error: 0.0b

Counts

131 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
0.2b	(* 0.0144 (pow x 2))
0.4b	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
23×	`associate-r`
19×	`times-frac`
16×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp` `unswap-sqr`
5×	`prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `pow-prod-down` `pow-exp` `clear-num`

Counts

4 → 119

Calls

4 calls:

3.0ms	(- 0.253 (* x 0.12))
6.0ms	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
5.0ms	(* 0.0144 (pow x 2))
9.0ms	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 0.253 (* x 0.12))
116.0ms	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
23.0ms	(* 0.0144 (pow x 2))
160.0ms	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	451	924
1	2128	822
2	5001	822

prune244.0ms

Filtered

131 candidates to 96 candidates (73.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	131	8	139

Merged error: 0.0b

Counts

139 → 8

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample423.0ms

Algorithm

intervals

Results

292.0ms

10729×

body

valid