Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	44×	body	1280	valid
11.0ms	234×	body	80	valid
6.0ms	39×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	9×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

15.0ms

(* (exp re) (sin im))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (exp re) (sin im))

simplify166.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
21.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series100.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
41.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))

simplify63.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2418	403
3	5001	390

prune208.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(expm1 (log1p (sqrt (exp re))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

21.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
0.0ms	(expm1 (log1p (sqrt (exp re))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(sqrt (exp re))
10.0ms	(sqrt (exp re))
86.0ms	(expm1 (log1p (sqrt (exp re))))

simplify138.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 4 (129.0ms)

Iter	Nodes	Cost
0	130	319
1	346	306
2	1144	303
3	4852	300
4	5001	296

prune226.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

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))

rewrite26.0ms

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:

16.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series306.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
72.0ms	(cbrt (exp re))
74.0ms	(cbrt (exp re))
73.0ms	(cbrt (exp re))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (54.0ms)

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

prune204.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes92.0ms

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

463.0ms	1560×	body	1280	valid
225.0ms	6918×	body	80	valid
213.0ms	1286×	body	640	valid
61.0ms	593×	body	320	valid
21.0ms	289×	body	160	valid