Details

sample171.0ms

Algorithm

intervals

Results

67.0ms	60×	body	2560	valid
43.0ms	67×	body	1280	valid
16.0ms	39×	body	640	valid
9.0ms	58×	body	80	valid
6.0ms	22×	body	320	valid
6.0ms	2×	body	5120	valid
2.0ms	8×	body	160	valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.5b

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite26.0ms

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:

9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) 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))

series178.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

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

prune445.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 41.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

10.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
71.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	395	644
1	2071	528
2	5001	523

prune421.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 39.8b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune117.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 39.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.1b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
1.6b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
34.2b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
11.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
3.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series536.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt t)
75.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
194.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
65.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	335	734
1	1521	569
2	5001	510

prune323.0ms

Pruning

46 alts after pruning (45 fresh and 1 done)

Merged error: 39.5b

regimes2.9s

Accuracy

0% (4.7b remaining)

Error of 44.1b against oracle of 39.4b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	1
1	11	0
2	11	0

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1787×	body	2560	valid
1.4s	2265×	body	1280	valid
440.0ms	1141×	body	640	valid
175.0ms	1899×	body	80	valid
163.0ms	581×	body	320	valid
105.0ms	42×	body	5120	valid
53.0ms	285×	body	160	valid