Details

analyze350.0ms

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

sample157.0ms

Algorithm

intervals

Results

64.0ms	113×	body	1280	valid
27.0ms	82×	body	640	valid
18.0ms	52×	body	1280	invalid
10.0ms	42×	body	640	invalid
7.0ms	34×	body	320	valid
5.0ms	76×	body	80	invalid
5.0ms	14×	body	160	invalid
4.0ms	22×	body	320	invalid
3.0ms	23×	body	160	valid
0.0ms	4×	body	80	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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: 45.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
7.6b	(- (exp (neg im)) (exp im))

rewrite16.0ms

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:

9.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series22.0ms

Counts

2 → 6

Calls

2 calls:

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

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.1b

Counts

44 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
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))))
0.1b	(* (pow im 3) -1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
10.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
5.0ms	(* (pow im 3) -1/3)

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
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)

simplify31.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	6066	1143

prune191.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize24.0ms

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)))))))
12.8b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
12.8b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
12.8b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

rewrite41.0ms

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:

8.0ms	(* (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)))))))
10.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
10.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
10.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (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)))))))
76.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
77.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))
78.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5144	2632

prune424.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cbrt 0.5) 2)
12.8b	(cbrt (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
12.8b	(cbrt (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
12.8b	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `unpow-prod-down` `cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

2.0ms	(pow (cbrt 0.5) 2)
9.0ms	(cbrt (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
9.0ms	(cbrt (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
10.0ms	(cbrt (* 0.5 (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))))

series225.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(pow (cbrt 0.5) 2)
73.0ms	(cbrt (* (sin re) (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
73.0ms	(cbrt (* (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))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4952	1300
1	4952	1300

prune351.0ms

Filtered

55 candidates to 65 candidates (-18.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	65	10	75

Merged error: 0.0b

Counts

75 → 10

regimes368.0ms

Accuracy

0% (0.7b 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

sample4.7s

Algorithm

intervals

Results

2.0s	3318×	body	1280	valid
839.0ms	2535×	body	640	valid
554.0ms	1550×	body	1280	invalid
319.0ms	1291×	body	640	invalid
262.0ms	1230×	body	320	valid
155.0ms	2336×	body	80	invalid
126.0ms	653×	body	320	invalid
91.0ms	671×	body	160	valid
40.0ms	314×	body	160	invalid
16.0ms	246×	body	80	valid

Details

analyze350.0ms

sample157.0ms

simplify48.0ms

prune7.0ms

localize10.0ms

rewrite16.0ms

series22.0ms

simplify39.0ms

prune66.0ms

localize16.0ms

rewrite28.0ms

series56.0ms

simplify31.0ms

prune191.0ms

localize24.0ms

rewrite41.0ms

series340.0ms

simplify49.0ms

prune424.0ms

localize30.0ms

rewrite32.0ms

series225.0ms

simplify86.0ms

prune351.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling