Details

analyze344.0ms

Algorithm: search

sample147.0ms

Algorithm

intervals

Results

58.0ms	104×	body	1280	valid
31.0ms	88×	body	640	valid
15.0ms	43×	body	1280	invalid
9.0ms	38×	body	640	invalid
7.0ms	37×	body	320	valid
5.0ms	81×	body	80	invalid
3.0ms	16×	body	320	invalid
2.0ms	17×	body	160	valid
1.0ms	10×	body	160	invalid
1.0ms	10×	body	80	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1025	7
7	2309	7
8	5002	7

prune4.0ms

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: 46.6b

Counts

2 → 1

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.4b	(- (exp (neg im)) (exp im))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

10.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series23.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	329
2	5001	328

prune73.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.1b

Counts

47 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
7.0ms	(* 1/60 (pow im 5))
6.0ms	(* -1/3 (pow im 3))
11.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(* 1/60 (pow im 5))
4.0ms	(* -1/3 (pow im 3))
34.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify67.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	447	758
1	2066	657
2	5001	657

prune194.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.1b

Counts

108 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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×	`unpow-prod-down` `cube-prod` `*-commutative` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`sqr-pow`
1×	`cube-mult` `unpow3`

Counts

4 → 87

Calls

4 calls:

6.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
6.0ms	(* (sin re) (pow im 3))
6.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
4.0ms	(* (sin re) im)

series61.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
14.0ms	(* (sin re) (pow im 3))
18.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
7.0ms	(* (sin re) im)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	355	497
1	1565	414
2	5002	414

prune161.0ms

Filtered

59 candidates to 99 candidates (-67.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.7b	(cbrt (sin re))
0.7b	(cbrt (sin re))
0.7b	(cbrt (sin re))

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
18.0ms	(cbrt (sin re))
18.0ms	(cbrt (sin re))
20.0ms	(cbrt (sin re))

simplify117.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	410
3	5002	404

prune133.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes378.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	41	14
2	59	14
3	69	14
4	69	14

end0.0ms

analyze345.0ms

Algorithm: search

sample4.5s

Algorithm

intervals

Results

1.9s	3287×	body	1280	valid
822.0ms	2556×	body	640	valid
513.0ms	1451×	body	1280	invalid
281.0ms	1172×	body	640	invalid
257.0ms	1284×	body	320	valid
163.0ms	2432×	body	80	invalid
108.0ms	619×	body	320	invalid
85.0ms	641×	body	160	valid
35.0ms	297×	body	160	invalid
15.0ms	232×	body	80	valid

Details

analyze344.0ms

sample147.0ms

simplify72.0ms

prune4.0ms

localize17.0ms

rewrite17.0ms

series23.0ms

simplify37.0ms

prune73.0ms

localize14.0ms

rewrite32.0ms

series47.0ms

simplify67.0ms

prune194.0ms

localize16.0ms

rewrite24.0ms

series61.0ms

simplify50.0ms

prune161.0ms

localize21.0ms

rewrite12.0ms

series78.0ms

simplify117.0ms

prune133.0ms

regimes378.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

analyze345.0ms

sample4.5s

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