Details

sample175.0ms

Algorithm

intervals

Results

67.0ms	55×	body	2560	valid
43.0ms	67×	body	1280	valid
21.0ms	49×	body	640	valid
6.0ms	62×	body	80	valid
4.0ms	12×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	10×	body	160	valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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: 45.1b

localize28.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
3.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite94.0ms

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:

40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (50.0ms)

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

prune583.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 40.8b

localize25.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* t z) (fma 2.0 y 1.0))
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.0b	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
35.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 62

Calls

4 calls:

19.0ms	(* (* t z) (fma 2.0 y 1.0))
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
6.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* t z) (fma 2.0 y 1.0))
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
24.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	350	444
1	1645	367
2	5001	364

prune612.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 40.2b

localize25.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (+ (* a 2.0) 1.0) (* b t))
2.4b	(* (* t z) (fma 2.0 y 1.0))
34.0b	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 62

Calls

4 calls:

38.0ms	(* (+ (* a 2.0) 1.0) (* b t))
17.0ms	(* (* t z) (fma 2.0 y 1.0))
5.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
4.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* a 2.0) 1.0) (* b t))
47.0ms	(* (* t z) (fma 2.0 y 1.0))
28.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
36.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	341	446
1	1542	369
2	5002	365

prune636.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 40.1b

localize32.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (cbrt (+ (* a 2.0) 1.0)) (* b t))
2.4b	(* (* t z) (fma 2.0 y 1.0))
34.0b	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
35.0b	(cos (/ (* (* (cbrt (+ (* a 2.0) 1.0)) (cbrt (+ (* a 2.0) 1.0))) (* (cbrt (+ (* a 2.0) 1.0)) (* b t))) 16.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`cbrt-div` `associate-l/` `-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 65

Calls

4 calls:

40.0ms	(* (cbrt (+ (* a 2.0) 1.0)) (* b t))
17.0ms	(* (* t z) (fma 2.0 y 1.0))
5.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
4.0ms	(cos (/ (* (* (cbrt (+ (* a 2.0) 1.0)) (cbrt (+ (* a 2.0) 1.0))) (* (cbrt (+ (* a 2.0) 1.0)) (* b t))) 16.0))

series373.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (cbrt (+ (* a 2.0) 1.0)) (* b t))
58.0ms	(* (* t z) (fma 2.0 y 1.0))
27.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))
38.0ms	(cos (/ (* (* (cbrt (+ (* a 2.0) 1.0)) (cbrt (+ (* a 2.0) 1.0))) (* (cbrt (+ (* a 2.0) 1.0)) (* b t))) 16.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	413	644
1	1633	556
2	5002	556

prune719.0ms

Pruning

42 alts after pruning (42 fresh and 0 done)

Merged error: 39.8b

regimes5.2s

Accuracy

0% (4.7b remaining)

Error of 45.4b against oracle of 40.7b and baseline of 45.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	1873×	body	2560	valid
1.6s	2234×	body	1280	valid
483.0ms	1199×	body	640	valid
184.0ms	1916×	body	80	valid
138.0ms	478×	body	320	valid
95.0ms	38×	body	5120	valid
50.0ms	262×	body	160	valid