Details

sample133.0ms

Algorithm

intervals

Results

66.0ms	152×	body	1280	valid
29.0ms	120×	body	640	valid
9.0ms	61×	body	320	valid
7.0ms	142×	body	80	valid
7.0ms	36×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	92	7
3	163	7
4	405	7
5	865	7
6	1189	7
7	2771	7
8	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 40.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.4b	(- (exp (- im)) (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

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

series113.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
37.0ms	(- (exp (- im)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	371	1102
1	1544	774
2	5001	722

prune141.0ms

Filtered

80 candidates to 43 candidates (53.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 0.1b

Counts

81 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow im 5) (* 2 im))
0.0b	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.2b	(* 1/3 (pow im 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
48×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
37×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
14×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
9×	`pow1`
8×	`add-log-exp`
6×	`fma-neg` `prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `pow-prod-down`
2×	`flip3--` `diff-log` `associate-r/` `-commutative` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `neg-log` `pow-exp` `associate--r+`

Counts

4 → 150

Calls

4 calls:

1.0ms	(fma 1/60 (pow im 5) (* 2 im))
9.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
11.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
6.0ms	(* 1/3 (pow im 3))

series376.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma 1/60 (pow im 5) (* 2 im))
58.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
167.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
34.0ms	(* 1/3 (pow im 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	586	2644
1	2556	1682
2	5002	1670

prune330.0ms

Filtered

162 candidates to 79 candidates (48.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	151	11	162
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	152	12	164

Merged error: 0.0b

Counts

164 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
0.1b	(* (sin re) (* -1/3 (pow im 3)))
0.1b	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
0.2b	(* -1/3 (pow im 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`associate-r`
19×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`associate-l` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `distribute-neg-in` `cube-prod` `pow-prod-down` `fma-udef` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp` `sqr-pow`
1×	`+-commutative` `cube-mult` `neg-mul-1` `fma-def` `flip3-+` `unpow3` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 102

Calls

4 calls:

8.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
9.0ms	(* (sin re) (* -1/3 (pow im 3)))
6.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series536.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
87.0ms	(* (sin re) (* -1/3 (pow im 3)))
242.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
34.0ms	(* -1/3 (pow im 3))

simplify92.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	522	854
1	2599	752
2	5001	734

prune354.0ms

Filtered

114 candidates to 79 candidates (69.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	114	12	126

Merged error: 0.0b

Counts

126 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

series2.2s

Counts

4 → 12

Calls

4 calls:

584.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
557.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
557.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
544.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	293	1041
1	911	965
2	3966	833
3	5001	800

prune385.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	92	13	105

Merged error: 0.0b

Counts

105 → 13

regimes317.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	33	13
2	40	13
3	40	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	4697×	body	1280	valid
954.0ms	3758×	body	640	valid
307.0ms	1923×	body	320	valid
243.0ms	4366×	body	80	valid
106.0ms	989×	body	160	valid