Details

analyze363.0ms

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	106×	body	1280	valid
27.0ms	82×	body	640	valid
21.0ms	47×	body	1280	invalid
11.0ms	44×	body	640	invalid
8.0ms	41×	body	320	valid
5.0ms	75×	body	80	invalid
3.0ms	19×	body	160	valid
2.0ms	9×	body	320	invalid
1.0ms	12×	body	160	invalid
1.0ms	8×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

prune6.0ms

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: 42.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.9b	(- (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:

10.0ms	(* (* 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))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5022	469

prune68.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize15.0ms

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

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
4.0ms	(* (pow im 3) -1/3)
37.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

simplify35.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	6066	1143

prune190.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.1b

Counts

105 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 3) -1/3)
0.1b	(* (pow im 3) -1/3)
0.1b	(* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))
22.1b	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`associate-l`
25×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp`
9×	`associate-r` `unswap-sqr`
8×	`unpow-prod-down` `cube-prod`
6×	`pow1` `associate-*r/` `cbrt-unprod`
4×	`add-log-exp` `sqr-pow`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative`
2×	`cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `associate-/r/` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 111

Calls

4 calls:

6.0ms	(* (pow im 3) -1/3)
5.0ms	(* (pow im 3) -1/3)
8.0ms	(* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))
17.0ms	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (pow im 3) -1/3)
4.0ms	(* (pow im 3) -1/3)
51.0ms	(* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))
106.0ms	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

simplify66.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5019	2754

prune439.0ms

Filtered

83 candidates to 123 candidates (-48.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	122	9	131

Merged error: 0.1b

Counts

131 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 3) 1/3)
0.1b	(* (pow im 3) -1/3)
0.1b	(/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2)))
17.9b	(* (/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2))) (+ (* im (* im 4)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
39×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`associate-r`
8×	`unpow-prod-down` `cube-prod` `prod-exp`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `cbrt-unprod` `flip-+` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `frac-times` `pow-to-exp` `unpow3` `associate-*r/` `div-exp` `pow-exp` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-*l/` `clear-num`

Counts

4 → 131

Calls

4 calls:

6.0ms	(* (pow im 3) 1/3)
6.0ms	(* (pow im 3) -1/3)
10.0ms	(/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2)))
19.0ms	(* (/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2))) (+ (* im (* im 4)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (pow im 3) 1/3)
4.0ms	(* (pow im 3) -1/3)
38.0ms	(/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2)))
95.0ms	(* (/ (sin re) (+ (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)) (* im -2))) (+ (* im (* im 4)) (* (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4999	3520
1	4999	3520

prune553.0ms

Filtered

106 candidates to 143 candidates (-34.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	142	10	152

Merged error: 0.0b

Counts

152 → 10

regimes425.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	3197×	body	1280	valid
860.0ms	2606×	body	640	valid
521.0ms	1464×	body	1280	invalid
291.0ms	1183×	body	640	invalid
283.0ms	1318×	body	320	valid
154.0ms	2335×	body	80	invalid
103.0ms	579×	body	320	invalid
88.0ms	636×	body	160	valid
34.0ms	277×	body	160	invalid
16.0ms	243×	body	80	valid

Details

analyze363.0ms

sample157.0ms

simplify51.0ms

prune6.0ms

localize10.0ms

rewrite16.0ms

series22.0ms

simplify38.0ms

prune68.0ms

localize15.0ms

rewrite28.0ms

series58.0ms

simplify35.0ms

prune190.0ms

localize29.0ms

rewrite40.0ms

series165.0ms

simplify66.0ms

prune439.0ms

localize26.0ms

rewrite44.0ms

series142.0ms

simplify75.0ms

prune553.0ms

regimes425.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling