Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

372×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

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

prune10.0ms

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

localize13.0ms

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))

series219.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
76.0ms	(fma y x (fma (- (/ a 4.0)) b c))

simplify74.0ms

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

prune85.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.2b	(/ (* z t) 16.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
42×	`prod-diff`
38×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
24×	`associate-+l+`
21×	`times-frac`
20×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`fma-def` `sum-log`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`flip3-+` `fma-neg` `associate-/r*` `flip-+` `distribute-lft-out--`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `difference-of-squares`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

14.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms	(/ (* z t) 16.0)

series275.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
42.0ms	(+ (* x y) (/ (* z t) 16.0))
81.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
17.0ms	(/ (* z t) 16.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	553	1516
1	2204	1182
2	5001	1103

prune345.0ms

Filtered

140 candidates to 105 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Merged error: 0b

Counts

143 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

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

series635.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))
153.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
151.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
148.0ms	(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

simplify140.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	247	973
1	917	888
2	4463	789
3	5001	786

prune313.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes354.0ms

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

sample978.0ms

Algorithm

intervals

Results

520.0ms

11890×

body

valid