Details

sample191.0ms

Algorithm

intervals

Results

94.0ms	166×	body	1280	valid
49.0ms	141×	body	640	valid
14.0ms	148×	body	80	valid
13.0ms	54×	body	320	valid
5.0ms	31×	body	160	valid

simplify69.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.1b	(- (exp (- im)) (exp im))

rewrite49.0ms

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:

32.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
13.0ms	(- (exp (- im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.0ms	(- (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

prune349.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite33.0ms

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:

0.0ms	(fma 1/60 (pow im 5) (* 2 im))
22.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))

series50.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(fma 1/60 (pow im 5) (* 2 im))
40.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
3.0ms	(* 1/3 (pow im 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (56.0ms)

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

prune649.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.008333333333333333 (* (sin re) (pow im 5)))
0.0b	(* (sin re) (pow im 3))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) im)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`prod-exp` `add-cbrt-cube`
17×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`pow1`
8×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`sqr-pow`
1×	`cube-mult` `unpow3`

Counts

4 → 95

Calls

4 calls:

9.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
9.0ms	(* (sin re) (pow im 3))
9.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
4.0ms	(* (sin re) im)

series66.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
16.0ms	(* (sin re) (pow im 3))
18.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
7.0ms	(* (sin re) im)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	366	531
1	1585	448
2	5001	448

prune805.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series64.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
14.0ms	(cbrt (sin re))
15.0ms	(cbrt (sin re))
14.0ms	(cbrt (sin re))

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	159	483
1	568	431
2	3135	398
3	5001	392

prune931.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.8s	4888×	body	1280	valid
1.3s	3825×	body	640	valid
434.0ms	1846×	body	320	valid
333.0ms	4415×	body	80	valid
151.0ms	941×	body	160	valid