Details

sample80.0ms

Algorithm

intervals

Results

33.0ms	60×	body	1280	valid
11.0ms	249×	body	80	valid
10.0ms	41×	body	640	valid
5.0ms	110×	body	80	overflowed
4.0ms	26×	body	320	valid
2.0ms	15×	body	160	valid

simplify76.0ms

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

rewrite36.0ms

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:

9.0ms	(+ (exp (- im)) (exp im))
27.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
62.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (35.0ms)

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

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 39

Calls

2 calls:

11.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (* 0.5 (cos re)) (exp im))
38.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	203	268
1	1180	217
2	5001	217

prune101.0ms

Pruning

2 alts after pruning (1 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	(pow (exp im) 3)
0.2b	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
4.0b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-/r/`
18×	`frac-add`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`exp-neg` `pow-pow` `add-cbrt-cube`
13×	`add-exp-log` `neg-sub0` `exp-prod` `exp-diff`
10×	`flip3--` `flip--`
8×	`frac-times`
6×	`pow1` `unpow-prod-down` `pow-unpow` `cube-prod` `associate-*r/` `add-log-exp`
4×	`associate-*l/`
3×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-div` `cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `un-div-inv` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`neg-mul-1` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

5.0ms	(pow (exp (- im)) 3)
2.0ms	(pow (exp im) 3)
112.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp (- im)) 3)
25.0ms	(pow (exp im) 3)
213.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
49.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify234.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	883	2153
1	4750	1626
2	5001	1624

prune405.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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	12	9
1	12	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

757.0ms	1570×	body	1280	valid
410.0ms	8562×	body	80	valid
313.0ms	1248×	body	640	valid
146.0ms	3443×	body	80	overflowed
96.0ms	613×	body	320	valid
35.0ms	342×	body	160	valid