Details

sample95.0ms

Algorithm

intervals

Results

36.0ms	92×	body	1280	valid
23.0ms	94×	body	640	valid
15.0ms	294×	body	80	valid
5.0ms	32×	body	320	valid
1.0ms	12×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ (exp (neg im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (neg im)) (exp im))
57.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune82.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series155.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* 0.5 (cos re)) (exp im))
81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
40.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384

prune108.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (neg im)) (exp (neg im)))
0.1b	(pow (exp (neg im)) 3)
0.1b	(pow (exp im) 3)
5.1b	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in`
23×	`distribute-lft-neg-in`
15×	`pow-pow` `pow-prod-down`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`exp-neg` `add-cbrt-cube`
7×	`neg-sub0` `exp-diff`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `frac-times`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `prod-exp` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

14.0ms	(* (exp (neg im)) (exp (neg im)))
5.0ms	(pow (exp (neg im)) 3)
3.0ms	(pow (exp im) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp (neg im)) (exp (neg im)))
26.0ms	(pow (exp (neg im)) 3)
23.0ms	(pow (exp im) 3)
49.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

simplify153.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	456	606
1	2521	503
2	5001	449

prune381.0ms

Filtered

158 candidates to 89 candidates (56.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Merged error: 0b

Counts

160 → 2

regimes64.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	2956×	body	1280	valid
614.0ms	2505×	body	640	valid
432.0ms	8552×	body	80	valid
201.0ms	1226×	body	320	valid
69.0ms	636×	body	160	valid

Details

sample95.0ms

simplify67.0ms

prune3.0ms

localize9.0ms

rewrite20.0ms

series85.0ms

simplify36.0ms

prune82.0ms

localize8.0ms

rewrite20.0ms

series155.0ms

simplify49.0ms

prune108.0ms

localize18.0ms

rewrite34.0ms

series119.0ms

simplify153.0ms

prune381.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

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