Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify28.0ms

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify114.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148

prune98.0ms

Filtered

46 candidates to 36 candidates (78.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

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)))

rewrite29.0ms

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))
9.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
6.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
8.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 0.253 (* x 0.12))
61.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
101.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
35.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

simplify81.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune258.0ms

Filtered

122 candidates to 85 candidates (69.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Merged error: 0b

Counts

129 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 0.253 (* x 0.12))
62.0ms	(* x (+ 0.253 (* x 0.12)))

simplify112.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148

prune98.0ms

Filtered

46 candidates to 34 candidates (73.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	46	9	55

Merged error: 0b

Counts

55 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (+ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 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))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 0.253 (* x 0.12)))
60.1b	(fma (- 0.12) x (* 0.12 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
25×	`times-frac`
21×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out`
6×	`associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`flip3--` `associate-r/` `prod-exp` `associate-/r` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef`

Counts

4 → 118

Calls

4 calls:

11.0ms	(* x (/ (+ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 0.253 (* x 0.12))))
6.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
12.0ms	(/ (+ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 0.253 (* x 0.12)))
1.0ms	(fma (- 0.12) x (* 0.12 x))

series885.0ms

Counts

4 → 12

Calls

4 calls:

400.0ms	(* x (/ (+ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 0.253 (* x 0.12))))
104.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
333.0ms	(/ (+ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (* (fma 0.12 x 0.253) (fma (- 0.12) x (* 0.12 x)))) (- 0.253 (* x 0.12)))
48.0ms	(fma (- 0.12) x (* 0.12 x))

simplify83.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	448	1692
1	2476	1494
2	5001	1472

prune378.0ms

Filtered

130 candidates to 101 candidates (77.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	130	9	139

Merged error: 0b

Counts

139 → 9

regimes88.0ms

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	11	4
1	11	4

end0.0ms

sample317.0ms

Algorithm

intervals

Results

199.0ms

10580×

body

valid