Details

sample78.0ms

Algorithm

intervals

Results

30.0ms	86×	body	1280	valid
18.0ms	83×	body	640	valid
11.0ms	249×	body	80	valid
5.0ms	38×	body	320	valid
1.0ms	16×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1512	6
7	2280	6
8	5002	6

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

6.0ms	(+ (exp (- im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- im)) (exp im))
64.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify45.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	339	510
1	1552	445
2	5001	441

prune127.0ms

Filtered

63 candidates to 47 candidates (25.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	2	64

Merged error: 0b

Counts

64 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
45×	`associate-l`
43×	`*-un-lft-identity`
37×	`add-cube-cbrt`
36×	`times-frac`
24×	`associate-r`
22×	`fma-def`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*` `unswap-sqr`
8×	`pow1` `prod-exp` `*-commutative`
5×	`add-log-exp`
4×	`div-exp` `cbrt-unprod` `distribute-lft-out`
3×	`expm1-log1p-u` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+`

Counts

3 → 143

Calls

3 calls:

54.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 0.5 (cos re)) (exp im))
9.0ms	(/ (* 0.5 (cos re)) (exp im))

series164.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
40.0ms	(* (* 0.5 (cos re)) (exp im))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	481	991
1	2486	923
2	5001	920

prune285.0ms

Filtered

152 candidates to 119 candidates (21.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Merged error: 0b

Counts

154 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(* (cbrt (exp im)) (cbrt (exp im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
7.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (exp im))
81.0ms	(cbrt (exp im))
81.0ms	(cbrt (exp im))
99.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	129	496
1	419	448
2	2105	395
3	5001	367

prune189.0ms

Filtered

96 candidates to 64 candidates (33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2949×	body	1280	valid
525.0ms	2585×	body	640	valid
362.0ms	8606×	body	80	valid
178.0ms	1245×	body	320	valid
59.0ms	663×	body	160	valid