Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

388×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (11.0ms)

Iter	Nodes	Cost
0	33	7
1	73	7
2	153	7
3	290	7
4	546	6
5	892	6
6	1280	6
7	1781	6
8	2165	6
9	2429	6
10	2429	6

prune9.0ms

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

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
0.0b	(fma y x (fma (- (/ a 4.0)) b c))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms	(fma y x (fma (- (/ a 4.0)) b c))

series223.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
77.0ms	(fma y x (fma (- (/ a 4.0)) b c))

simplify80.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	76	172
1	185	146
2	562	146
3	3117	146
4	5002	146

prune93.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b	(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))

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:

1.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
5.0ms	(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
140.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
143.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
176.0ms	(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))

simplify139.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	247	973
1	925	888
2	4471	789
3	5001	786

prune316.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y x (fma (- (/ a 4.0)) b c))
0.0b	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
0.0b	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
0.3b	(* (sqrt (fma y x (fma (- (/ a 4.0)) b c))) (sqrt (fma y x (fma (- (/ a 4.0)) b c))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma y x (fma (- (/ a 4.0)) b c))
1.0ms	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
6.0ms	(* (sqrt (fma y x (fma (- (/ a 4.0)) b c))) (sqrt (fma y x (fma (- (/ a 4.0)) b c))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma y x (fma (- (/ a 4.0)) b c))
191.0ms	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
192.0ms	(sqrt (fma y x (fma (- (/ a 4.0)) b c)))
76.0ms	(* (sqrt (fma y x (fma (- (/ a 4.0)) b c))) (sqrt (fma y x (fma (- (/ a 4.0)) b c))))

simplify154.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	205	726
1	745	632
2	3958	600
3	5001	600

prune281.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes175.0ms

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	17	6
1	17	6

end0.0ms

sample946.0ms

Algorithm

intervals

Results

512.0ms

11882×

body

valid