Details

sample114.0ms

Algorithm

intervals

Results

50.0ms	104×	body	1280	valid
21.0ms	70×	body	640	valid
17.0ms	254×	body	80	valid
7.0ms	36×	body	320	valid
4.0ms	28×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b	(+ (exp (- im)) (exp im))

rewrite40.0ms

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:

30.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series82.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
24.0ms	(+ (exp (- im)) (exp im))

simplify43.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.0b	(* (exp im) (exp im))
0.0b	(pow (exp im) 3)
3.4b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(pow (exp (- im)) 3)
8.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp (- im)) 3)
14.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
52.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify120.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	364	469
1	2072	398
2	5002	361

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.0b	(pow (exp im) 4)
0.3b	(/ (+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4)) (+ 1 (pow (exp im) 2)))
3.4b	(+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`pow-pow`
7×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `unpow-prod-down` `pow-unpow` `exp-prod` `add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`flip3-+` `cube-prod` `flip-+` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 92

Calls

4 calls:

2.0ms	(pow (exp im) 3)
2.0ms	(pow (exp im) 4)
57.0ms	(/ (+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4)) (+ 1 (pow (exp im) 2)))
16.0ms	(+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4))

series211.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp im) 3)
25.0ms	(pow (exp im) 4)
102.0ms	(/ (+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4)) (+ 1 (pow (exp im) 2)))
60.0ms	(+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4))

simplify67.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	387	1000
1	1758	884
2	5001	823

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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	13	7
1	13	7

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2968×	body	1280	valid
752.0ms	2440×	body	640	valid
596.0ms	8492×	body	80	valid
253.0ms	1224×	body	320	valid
88.0ms	633×	body	160	valid