Details

sample144.0ms

Algorithm

intervals

Results

64.0ms	98×	body	1280	valid
27.0ms	72×	body	640	valid
21.0ms	254×	body	80	valid
9.0ms	38×	body	320	valid
3.0ms	19×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	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

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite19.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune96.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
0.2b	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
8.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
8.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

series161.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
51.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
22.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	407	877
1	1897	818
2	5001	807

prune239.0ms

Filtered

110 candidates to 62 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- 0.0 im)) 3)
0.3b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.7b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`add-exp-log`
10×	`pow-pow`
9×	`exp-diff`
8×	`unpow-prod-down` `exp-prod` `cube-prod` `associate-/r/`
6×	`pow1` `pow-unpow` `frac-add` `add-log-exp`
4×	`flip3--` `associate-*r/` `exp-sum` `flip--`
3×	`cbrt-undiv` `sub-neg` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-mult` `frac-times` `pow-to-exp` `flip3-+` `unpow3` `associate-*l/` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `distribute-rgt-out--` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

3.0ms	(pow (exp im) 3)
6.0ms	(pow (exp (- 0.0 im)) 3)
40.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp im) 3)
30.0ms	(pow (exp (- 0.0 im)) 3)
218.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
48.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify158.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	734	1631
1	4253	1357
2	5002	1335

prune365.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

13.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
12.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
5.0ms	(* 1/12 (pow im 4))

series203.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
125.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
36.0ms	(* 1/12 (pow im 4))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	365	506
1	1891	441
2	5001	438

prune143.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes205.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	2953×	body	1280	valid
663.0ms	2501×	body	640	valid
515.0ms	8755×	body	80	valid
222.0ms	1228×	body	320	valid
80.0ms	646×	body	160	valid