Details

sample171.0ms

Algorithm

intervals

Results

77.0ms	68×	body	2560	valid
36.0ms	60×	body	1280	valid
23.0ms	43×	body	640	valid
5.0ms	60×	body	80	valid
4.0ms	13×	body	320	valid
2.0ms	12×	body	160	valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.6b

localize26.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.6b	(* (* (+ (* a 2.0) 1.0) b) t)
32.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.4b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite42.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

20.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
45.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune496.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
32.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (+ (* y 2.0) 1.0) z)
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))

series230.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* y 2.0) 1.0) z)
89.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
55.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune479.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 39.8b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune144.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 39.8b

localize20.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.7b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.7b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
32.2b	(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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 48

Calls

4 calls:

13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
14.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
2.0ms	(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))

series599.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
185.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
180.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
50.0ms	(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))

simplify92.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	273	906
1	796	834
2	2847	816
3	5001	708

prune365.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 39.7b

regimes2.9s

Accuracy

0% (4.6b remaining)

Error of 44.6b against oracle of 39.9b and baseline of 44.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	1811×	body	2560	valid
1.4s	2260×	body	1280	valid
457.0ms	1170×	body	640	valid
175.0ms	1867×	body	80	valid
169.0ms	561×	body	320	valid
111.0ms	42×	body	5120	valid
58.0ms	289×	body	160	valid