Details

sample94.0ms

Algorithm

intervals

Results

41.0ms	96×	body	1280	valid
16.0ms	66×	body	640	valid
13.0ms	252×	body	80	valid
7.0ms	41×	body	320	valid
3.0ms	26×	body	160	valid

simplify68.0ms

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

prune2.0ms

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)))

rewrite18.0ms

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:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (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

prune102.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.0b	(pow (exp (- 0.0 im)) 3)
4.9b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

65×	`exp-prod`
60×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
19×	`pow1`
16×	`exp-sum`
13×	`distribute-lft-out--`
12×	`pow-prod-down` `pow-sqr` `pow-prod-up`
10×	`swap-sqr`
9×	`sub-neg` `add-cbrt-cube`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`pow-pow` `add-log-exp`
5×	`unpow-prod-down` `exp-diff` `cube-prod`
4×	`add-exp-log`
3×	`pow-unpow`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cube-div` `cube-mult` `frac-times` `pow-to-exp` `flip3--` `distribute-rgt-out--` `diff-log` `unpow3` `associate-r/` `associate-l/` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
12.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
6.0ms	(pow (exp (- 0.0 im)) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp im) (exp im))
15.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
25.0ms	(pow (exp (- 0.0 im)) 3)
46.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify80.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	427	650
1	2210	562
2	5001	535

prune340.0ms

Filtered

149 candidates to 84 candidates (56.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	149	3	152

Merged error: 0b

Counts

152 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
7.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
23.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
28.0ms	(+ (exp (- 0.0 im)) (exp im))
89.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
64.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	411	1087
1	1858	905
2	5002	894

prune207.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	24
1	25	24

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	3078×	body	1280	valid
627.0ms	2450×	body	640	valid
482.0ms	8624×	body	80	valid
219.0ms	1290×	body	320	valid
77.0ms	643×	body	160	valid