Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

372×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize12.0ms

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)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log`
3×	`associate-+l+` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(/ (* z t) 16.0)

series288.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
41.0ms	(+ (* x y) (/ (* z t) 16.0))
83.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
20.0ms	(/ (* z t) 16.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	376	628
1	1475	597
2	5001	590

prune197.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize12.0ms

Local error

Found 3 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))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

9.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
3.0ms	(+ (* x y) (* z (/ t 16.0)))
11.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series280.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
40.0ms	(+ (* x y) (* z (/ t 16.0)))
83.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	288	548
1	1068	527
2	5001	520

prune144.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0.0b

Counts

60 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.5b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
5.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
8.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
5.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
122.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
117.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
121.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	328	1262
1	1070	1181
2	4053	1092
3	5003	1082

prune364.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))))
0.8b	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
0.8b	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
0.8b	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
26×	`frac-sub`
16×	`frac-times`
15×	`add-cube-cbrt`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `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 → 123

Calls

4 calls:

20.0ms	(* (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))))
11.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
7.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
7.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))))
144.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
342.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))
150.0ms	(cbrt (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	448	3157
1	1530	3034
2	5002	2881

prune471.0ms

Filtered

135 candidates to 96 candidates (71.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	135	7	142

Merged error: 0.0b

Counts

142 → 7

regimes669.0ms

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	22	8
1	22	8

end0.0ms

sample982.0ms

Algorithm

intervals

Results

533.0ms

11890×

body

valid