Details

sample126.0ms

Algorithm

intervals

Results

47.0ms	91×	body	1280	valid
26.0ms	71×	body	640	valid
24.0ms	257×	body	80	valid
12.0ms	47×	body	320	valid
3.0ms	18×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune2.0ms

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

rewrite76.0ms

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:

20.0ms	(+ (exp (- 0.0 im)) (exp im))
55.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(pow (exp im) 3)
7.3b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

7.0ms	(* (exp im) (exp im))
10.0ms	(pow (exp (- 0.0 im)) 3)
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp im) (exp im))
26.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
50.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify95.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	375	485
1	2149	423
2	5002	408

prune347.0ms

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	(cbrt (pow (pow (exp im) 3) 3))
0.0b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (pow (exp im) 3) 3)
7.3b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`unpow-prod-down` `cube-prod`
30×	`cbrt-prod`
24×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
7×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
6×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
5×	`pow1` `add-exp-log` `exp-prod` `pow-exp`
4×	`exp-sum`
3×	`pow-to-exp` `sub-neg`
2×	`rem-cube-cbrt`
1×	`cube-div` `flip3--` `distribute-rgt-out--` `exp-diff` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

4.0ms	(cbrt (pow (pow (exp im) 3) 3))
10.0ms	(pow (exp (- 0.0 im)) 3)
6.0ms	(pow (pow (exp im) 3) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (pow (pow (exp im) 3) 3))
28.0ms	(pow (exp (- 0.0 im)) 3)
48.0ms	(pow (pow (exp im) 3) 3)
46.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify82.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	416	635
1	1913	586
2	5002	574

prune339.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
0.3b	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
7.4b	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))
7.4b	(- (exp (- 0.0 im)) (exp im))

rewrite902.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `distribute-rgt-neg-in` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r` `unsub-neg` `neg-log` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

509.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
211.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
152.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))
27.0ms	(- (exp (- 0.0 im)) (exp im))

series312.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
134.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
46.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))
38.0ms	(- (exp (- 0.0 im)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	500	1373
1	2288	1100
2	5003	1084

prune306.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

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	14	7
1	14	7

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	2900×	body	1280	valid
844.0ms	2478×	body	640	valid
788.0ms	8429×	body	80	valid
291.0ms	1216×	body	320	valid
102.0ms	605×	body	160	valid