Details

sample118.0ms

Algorithm

intervals

Results

42.0ms	96×	body	1280	valid
28.0ms	93×	body	640	valid
17.0ms	290×	body	80	valid
9.0ms	54×	body	320	valid
2.0ms	14×	body	160	valid

simplify102.0ms

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	1599	7
8	3585	7
9	4712	7
10	5001	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

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)))

rewrite18.0ms

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:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune56.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- 0.0 im)) 3)
0.3b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.5b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`exp-prod`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`add-exp-log`
12×	`pow1`
9×	`exp-diff`
8×	`associate-/r/`
6×	`pow-pow` `frac-add` `add-log-exp`
5×	`unpow-prod-down` `cube-prod`
4×	`flip3--` `associate-*r/` `exp-sum` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `flip--` `cbrt-unprod`
3×	`cbrt-undiv` `sub-neg` `pow-unpow` `times-frac` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`frac-times` `flip3-+` `associate-*l/` `flip-+` `associate-/l/`
1×	`cube-div` `pow2` `cube-mult` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-plus` `diff-log` `unpow3` `pow-exp` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
6.0ms	(pow (exp (- 0.0 im)) 3)
39.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (exp im) (exp im))
5.0ms	(pow (exp (- 0.0 im)) 3)
74.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
8.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify132.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	750	1666
1	4108	1381
2	5001	1360

prune293.0ms

Filtered

81 candidates to 125 candidates (-54.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	125	2	127

Merged error: 0b

Counts

127 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.2b	(log (exp (pow (exp (- 0.0 im)) 3)))
0.3b	(/ (* (* 0.5 (sin re)) (+ (log (exp (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.5b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

21×	`exp-prod`
17×	`log-pow`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt` `add-cbrt-cube`
13×	`add-exp-log`
10×	`unpow-prod-down` `cube-prod`
9×	`exp-diff`
8×	`exp-sum` `associate-/r/`
6×	`pow1` `pow-pow` `frac-add` `add-log-exp`
5×	`sub-neg`
4×	`flip3--` `associate-*r/` `flip--`
3×	`cbrt-undiv` `pow-unpow` `log-prod` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-mult` `frac-times` `flip3-+` `unpow3` `associate-*l/` `flip-+` `associate-/l/` `sqr-pow`
1×	`cube-div` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `rem-log-exp` `pow-exp` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

6.0ms	(pow (exp (- 0.0 im)) 3)
7.0ms	(log (exp (pow (exp (- 0.0 im)) 3)))
43.0ms	(/ (* (* 0.5 (sin re)) (+ (log (exp (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow (exp (- 0.0 im)) 3)
5.0ms	(log (exp (pow (exp (- 0.0 im)) 3)))
73.0ms	(/ (* (* 0.5 (sin re)) (+ (log (exp (pow (exp (- 0.0 im)) 3))) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify107.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	723	1760
1	3759	1417
2	5001	1386

prune315.0ms

Filtered

81 candidates to 119 candidates (-46.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	119	2	121

Merged error: 0b

Counts

121 → 2

regimes245.0ms

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

sample3.2s

Algorithm

intervals

Results

1.3s	2926×	body	1280	valid
673.0ms	2542×	body	640	valid
492.0ms	8661×	body	80	valid
222.0ms	1223×	body	320	valid
76.0ms	614×	body	160	valid

Details

sample118.0ms

simplify102.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series19.0ms

simplify35.0ms

prune56.0ms

localize22.0ms

rewrite61.0ms

series89.0ms

simplify132.0ms

prune293.0ms

localize24.0ms

rewrite66.0ms

series90.0ms

simplify107.0ms

prune315.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling