Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	54×	body	1280	valid
7.0ms	223×	body	80	valid
6.0ms	40×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify142.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (139.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91

prune43.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cos im))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))
32.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	161	458
1	591	404
2	2177	402
3	5002	388

prune165.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 0b

Counts

99 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp re)) (cbrt (exp re)))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series352.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
105.0ms	(cbrt (exp re))
78.0ms	(cbrt (exp re))
77.0ms	(cbrt (exp re))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	118	463
1	379	426
2	1818	393
3	5002	361

prune172.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (cos im)) re)
0.0b	(exp (+ (log (cos im)) re))
1.1b	(log (cos im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `fma-def` `log-pow` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 53

Calls

3 calls:

4.0ms	(+ (log (cos im)) re)
5.0ms	(exp (+ (log (cos im)) re))
2.0ms	(log (cos im))

series167.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (log (cos im)) re)
30.0ms	(exp (+ (log (cos im)) re))
85.0ms	(log (cos im))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	157	247
1	420	225
2	1347	225
3	5001	222

prune104.0ms

Filtered

62 candidates to 44 candidates (71.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	62	4	66

Merged error: 0b

Counts

66 → 4

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

461.0ms	1541×	body	1280	valid
238.0ms	6930×	body	80	valid
203.0ms	1226×	body	640	valid
63.0ms	593×	body	320	valid
23.0ms	311×	body	160	valid