Details

sample291.0ms

Algorithm

intervals

Results

112.0ms	63×	body	2560	valid
82.0ms	72×	body	1280	valid
44.0ms	46×	body	640	valid
11.0ms	46×	body	80	valid
9.0ms	14×	body	320	valid
6.0ms	14×	body	160	valid
5.0ms	1×	body	5120	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 49.0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
36.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
1.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune379.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 44.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
36.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`add-log-exp`
2×	`*-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	253	416
1	1224	342
2	5002	342

prune297.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 42.8b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune118.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 42.8b

localize20.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.1b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.1b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
36.6b	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
15.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
1.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

series445.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
135.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
137.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
34.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	263	830
1	749	758
2	2631	752
3	5003	752

prune295.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 42.5b

regimes2.5s

Accuracy

0% (4.2b remaining)

Error of 44.4b against oracle of 40.2b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.6s	1815×	body	2560	valid
2.0s	2225×	body	1280	valid
782.0ms	1227×	body	640	valid
325.0ms	1860×	body	80	valid
246.0ms	531×	body	320	valid
112.0ms	39×	body	5120	valid
99.0ms	303×	body	160	valid