Details

sample199.0ms

Algorithm

intervals

Results

82.0ms	63×	body	2560	valid
49.0ms	72×	body	1280	valid
21.0ms	46×	body	640	valid
5.0ms	14×	body	320	valid
5.0ms	46×	body	80	valid
3.0ms	14×	body	160	valid
3.0ms	1×	body	5120	valid

simplify141.0ms

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: 49.0b

localize28.0ms

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))

rewrite38.0ms

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:

16.0ms	(* (* (+ (* 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))

series195.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
55.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (67.0ms)

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

prune496.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 44.0b

localize22.0ms

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))

rewrite23.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 51

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))

series180.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	263	443
1	1259	370
2	5001	367

prune427.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 42.7b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune173.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 42.7b

localize23.0ms

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))

rewrite45.0ms

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:

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

series583.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
184.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
176.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
49.0ms	(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))

simplify115.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (96.0ms)

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

prune408.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 42.4b

regimes3.3s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

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

sample5.4s

Algorithm

intervals

Results

2.2s	1815×	body	2560	valid
1.5s	2225×	body	1280	valid
550.0ms	1227×	body	640	valid
200.0ms	1860×	body	80	valid
181.0ms	531×	body	320	valid
107.0ms	39×	body	5120	valid
67.0ms	303×	body	160	valid