Details

sample130.0ms

Algorithm

intervals

Results

66.0ms	151×	body	1280	valid
31.0ms	128×	body	640	valid
9.0ms	56×	body	320	valid
7.0ms	136×	body	80	valid
2.0ms	23×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	92	7
3	163	7
4	405	7
5	865	7
6	1189	7
7	2771	7
8	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.8b	(- (exp (- im)) (exp im))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

12.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.0ms	(- (exp (- im)) (exp im))

series120.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
36.0ms	(- (exp (- im)) (exp im))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	371	1102
1	1544	774
2	5001	722

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/60 (pow im 5) (* 2 im))
0.1b	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.1b	(* 1/3 (pow im 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1`
6×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `-commutative` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 107

Calls

3 calls:

1.0ms	(fma 1/60 (pow im 5) (* 2 im))
11.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))

series337.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(fma 1/60 (pow im 5) (* 2 im))
176.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
36.0ms	(* 1/3 (pow im 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	546	1862
1	2359	1247
2	5003	1212

prune281.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
0.1b	(* (sin re) (* -1/3 (pow im 3)))
0.1b	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
0.1b	(* -1/3 (pow im 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`associate-r`
19×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`associate-l` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `distribute-neg-in` `cube-prod` `pow-prod-down` `fma-udef` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp` `sqr-pow`
1×	`+-commutative` `cube-mult` `neg-mul-1` `fma-def` `flip3-+` `unpow3` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
7.0ms	(* (sin re) (* -1/3 (pow im 3)))
7.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series599.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
95.0ms	(* (sin re) (* -1/3 (pow im 3)))
277.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
39.0ms	(* -1/3 (pow im 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	522	854
1	2599	752
2	5001	734

prune399.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))))
5.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
8.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
5.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))

series993.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))))
230.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
234.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
230.0ms	(cbrt (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))

simplify130.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	261	1039
1	908	913
2	4657	802
3	5001	802

prune389.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

regimes289.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	33	13
2	40	13
3	40	13

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	4827×	body	1280	valid
945.0ms	3816×	body	640	valid
332.0ms	1972×	body	320	valid
229.0ms	4522×	body	80	valid
100.0ms	973×	body	160	valid