Details

sample53.0ms

Algorithm

intervals

Results

21.0ms	62×	body	1280	valid
10.0ms	210×	body	80	valid
8.0ms	44×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	12×	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

localize9.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify167.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

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

series115.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (sin im))

simplify60.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2306	370
3	5001	359

prune200.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`cbrt-prod`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-l`
13×	`pow1`
9×	`associate-r`
8×	`add-exp-log` `pow1/3` `sqrt-prod`
7×	`unswap-sqr`
6×	`swap-sqr` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
8.0ms	(* (sqrt (cbrt (exp re))) (sin im))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (exp re))
81.0ms	(cbrt (exp re))
72.0ms	(* (sqrt (cbrt (exp re))) (sin im))
95.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify87.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	201	584
1	674	539
2	2745	500
3	5002	469

prune286.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
0.5b	(cbrt (* (sqrt (exp re)) (sin im)))
0.5b	(cbrt (* (sqrt (exp re)) (sin im)))
0.5b	(cbrt (* (sqrt (exp re)) (sin im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
5.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
5.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
5.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
91.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
90.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
91.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

simplify82.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	158	585
1	577	492
2	2511	437
3	5001	424

prune187.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes105.0ms

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

sample1.4s

Algorithm

intervals

Results

512.0ms	1556×	body	1280	valid
348.0ms	6915×	body	80	valid
237.0ms	1211×	body	640	valid
81.0ms	635×	body	320	valid
28.0ms	316×	body	160	valid