Details

sample175.0ms

Algorithm

intervals

Results

79.0ms	66×	body	2560	valid
41.0ms	66×	body	1280	valid
14.0ms	34×	body	640	valid
8.0ms	3×	body	5120	valid
6.0ms	61×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	10×	body	160	valid

simplify81.0ms

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

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: 46.3b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.4b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

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:

8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune307.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	49	17	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	17	67

Merged error: 41.7b

Counts

67 → 17

localize16.0ms

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)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite21.0ms

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×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* y 2.0) 1.0) z)
64.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune312.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	58	19	77
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	61	33	94

Merged error: 40.3b

Counts

94 → 33

localize2.0ms

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

prune108.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	32	32
Picked	1	1
Done	0	0
Total	33	33

Merged error: 40.3b

Counts

33 → 33

localize18.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
20.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
34.6b	(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))

rewrite24.0ms

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:

6.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
9.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
6.0ms	(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))

series442.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
133.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
138.0ms	(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))

simplify64.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

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

prune235.0ms

Filtered

52 candidates to 51 candidates (98.1%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	1	30	31
Picked	1	0	1
Done	0	1	1
Total	46	39	85

Merged error: 40.3b

Counts

85 → 39

regimes2.3s

Accuracy

0% (4.2b remaining)

Error of 44.5b against oracle of 40.2b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	1887×	body	2560	valid
1.5s	2294×	body	1280	valid
494.0ms	1147×	body	640	valid
187.0ms	1859×	body	80	valid
170.0ms	518×	body	320	valid
116.0ms	43×	body	5120	valid
52.0ms	252×	body	160	valid