Details

analyze354.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample231.0ms

Algorithm

intervals

Results

54.0ms	95×	body	1280	valid
27.0ms	90×	body	640	valid
8.0ms	41×	body	320	valid
3.0ms	24×	body	160	valid
0.0ms	6×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

prune7.0ms

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: 44.9b

Counts

2 → 1

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
59.1b	(- (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×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

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

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5022	469

prune66.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow im 5) -1/60)
0.1b	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
0.2b	(* (pow im 3) -1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-l`
18×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r` `prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`pow-to-exp` `associate-*r/` `pow-exp`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `flip3-+` `unpow3` `flip-+`

Counts

3 → 78

Calls

3 calls:

5.0ms	(* (pow im 5) -1/60)
11.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
6.0ms	(* (pow im 3) -1/3)

series46.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (pow im 5) -1/60)
37.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify26.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5238	942

prune182.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
0.6b	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
7.0ms	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
8.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
8.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
20.0ms	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
20.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
22.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5060	2886

prune563.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))) (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))))
14.2b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
14.2b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
14.2b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))) (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))))
11.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
11.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
12.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))) (cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))))
80.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
79.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
81.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5144	2632

prune412.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	82	14	96

Merged error: 0.0b

Counts

96 → 14

regimes689.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.8s	3275×	body	1280	valid
803.0ms	2545×	body	640	valid
249.0ms	1271×	body	320	valid
79.0ms	633×	body	160	valid
17.0ms	276×	body	80	valid

Details

analyze354.0ms

sample231.0ms

simplify47.0ms

prune7.0ms

localize35.0ms

rewrite17.0ms

series20.0ms

simplify39.0ms

prune66.0ms

localize25.0ms

rewrite24.0ms

series46.0ms

simplify26.0ms

prune182.0ms

localize36.0ms

rewrite48.0ms

series91.0ms

simplify54.0ms

prune563.0ms

localize31.0ms

rewrite46.0ms

series354.0ms

simplify54.0ms

prune412.0ms

regimes689.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.1s

Profiling