Details

sample60.0ms

Algorithm

intervals

Results

29.0ms

399×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (40.0ms)

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

localize14.0ms

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

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

series318.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
45.0ms	(fma b (- (+ y t) 2.0) x)
33.0ms	(* (- t 1.0) a)
79.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify99.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	260	488
1	859	429
2	4490	414
3	5001	413

prune229.0ms

Filtered

77 candidates to 64 candidates (83.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
5.0ms	(cbrt (* (- t 1.0) a))
5.0ms	(cbrt (* (- t 1.0) a))
5.0ms	(cbrt (* (- t 1.0) a))

series356.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
80.0ms	(cbrt (* (- t 1.0) a))
83.0ms	(cbrt (* (- t 1.0) a))
87.0ms	(cbrt (* (- t 1.0) a))

simplify43.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	369	876
1	1139	819
2	5001	745

prune499.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.0b	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.2b	(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

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

series11.1s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- t 1.0) a)
5.4s	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
5.5s	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
159.0ms	(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	347	1245
1	1401	1082
2	5002	1026

prune305.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample957.0ms

Algorithm

intervals

Results

538.0ms	12389×	body	80	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid