Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

386×

body

valid

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4

prune7.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
40.0ms	(* 0.12900613773279798 (* (* x x) x))
32.0ms	(* (* x x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	241	310
1	969	249
2	5001	241

prune97.0ms

Filtered

78 candidates to 43 candidates (55.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series130.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
35.0ms	(* 0.12900613773279798 (pow x 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	198	239
1	844	218
2	5002	217

prune93.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series177.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
94.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune109.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	81	5	86

Merged error: 0b

Counts

86 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372)))
0.1b	(fma x (* 0.12900613773279798 x) 0.954929658551372)
0.2b	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
3.7b	(/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
19×	`times-frac`
16×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-l`
6×	`pow1`
5×	`prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `sqr-pow`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `pow-to-exp` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `associate-*r/` `pow-prod-down` `pow-exp` `clear-num` `fma-udef`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* x (/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372)))
1.0ms	(fma x (* 0.12900613773279798 x) 0.954929658551372)
6.0ms	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
3.0ms	(/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372))

series458.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* x (/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372)))
56.0ms	(fma x (* 0.12900613773279798 x) 0.954929658551372)
36.0ms	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
155.0ms	(/ (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))) (fma x (* 0.12900613773279798 x) 0.954929658551372))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	354	1060
1	1730	954
2	5002	951

prune271.0ms

Filtered

116 candidates to 86 candidates (74.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes16.0ms

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	10	4
1	10	4

end0.0ms

sample467.0ms

Algorithm

intervals

Results

341.0ms

11936×

body

valid

Details

sample18.0ms

simplify200.0ms

prune7.0ms

localize6.0ms

rewrite19.0ms

series166.0ms

simplify40.0ms

prune97.0ms

localize10.0ms

rewrite11.0ms

series130.0ms

simplify36.0ms

prune93.0ms

localize5.0ms

rewrite16.0ms

series177.0ms

simplify39.0ms

prune109.0ms

localize13.0ms

rewrite20.0ms

series458.0ms

simplify61.0ms

prune271.0ms

regimes16.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample467.0ms

Profiling