Details

sample45.0ms

Algorithm

intervals

Results

25.0ms

418×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b	(* (- t 1.0) a)
0.0b	(fma b (- (+ y t) 2.0) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
3.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
6.0ms	(* (- t 1.0) a)
1.0ms	(fma b (- (+ y t) 2.0) x)

series322.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
77.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
30.0ms	(* (- t 1.0) a)
50.0ms	(fma b (- (+ y t) 2.0) x)

simplify99.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	260	488
1	831	429
2	4460	414
3	5001	413

prune254.0ms

Filtered

77 candidates to 62 candidates (80.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series889.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt a) (cbrt a))
183.0ms	(cbrt a)
310.0ms	(cbrt a)
186.0ms	(cbrt a)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune329.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.0 y) z (- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a)))
0.0b	(* (- t 1.0) a)
0.0b	(- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--` `fma-udef`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(fma (- 1.0 y) z (- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a)))
6.0ms	(* (- t 1.0) a)
4.0ms	(- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a))

series289.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(fma (- 1.0 y) z (- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a)))
33.0ms	(* (- t 1.0) a)
103.0ms	(- (fma b y (- x (* 2.0 b))) (* (- t 1.0) a))

simplify107.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	247	434
1	844	380
2	4551	359
3	5001	357

prune195.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b	(fma b (- (+ y t) 2.0) x)
2.9b	(* (- (* t t) (* 1.0 1.0)) a)
6.4b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`prod-diff`
29×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`pow1` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `flip3-+` `associate-l` `associate-l/` `associate-/r` `flip-+` `log1p-expm1-u` `div-inv`
3×	`flip3--` `fma-neg` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `-commutative` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
1.0ms	(fma b (- (+ y t) 2.0) x)
6.0ms	(* (- (* t t) (* 1.0 1.0)) a)
9.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
50.0ms	(fma b (- (+ y t) 2.0) x)
41.0ms	(* (- (* t t) (* 1.0 1.0)) a)
62.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	580	2019
1	2506	1495
2	5002	1489

prune358.0ms

Filtered

124 candidates to 84 candidates (67.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

regimes172.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

692.0ms	12567×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample45.0ms

simplify41.0ms

prune8.0ms

localize13.0ms

rewrite12.0ms

series322.0ms

simplify99.0ms

prune254.0ms

localize17.0ms

rewrite11.0ms

series889.0ms

simplify89.0ms

prune329.0ms

localize14.0ms

rewrite12.0ms

series289.0ms

simplify107.0ms

prune195.0ms

localize19.0ms

rewrite27.0ms

series273.0ms

simplify85.0ms

prune358.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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