Details

sample53.0ms

Algorithm

intervals

Results

17.0ms	45×	body	1280	valid
14.0ms	241×	body	80	valid
9.0ms	44×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	7×	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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(* (exp re) (sin im))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (exp re) (sin im))

simplify169.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

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

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

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

rewrite34.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (sqrt (exp re)) (sin im))
12.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
41.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify69.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2419	403
3	5001	390

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin im)) (cbrt (sin im)))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))

series585.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
102.0ms	(cbrt (sin im))
96.0ms	(cbrt (sin im))
98.0ms	(cbrt (sin im))

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune218.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (fma (* 1/2 re) re re) im im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma (* 1/2 re) re re) im im)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (fma (* 1/2 re) re re) im im)

simplify109.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	63
1	122	53
2	551	53
3	3223	53
4	5001	53

prune23.0ms

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

sample1.5s

Algorithm

intervals

Results

518.0ms	1463×	body	1280	valid
397.0ms	7035×	body	80	valid
261.0ms	1213×	body	640	valid
90.0ms	566×	body	320	valid
32.0ms	314×	body	160	valid