Details

sample174.0ms

Algorithm

intervals

Results

94.0ms	169×	body	1280	valid
38.0ms	123×	body	640	valid
10.0ms	52×	body	320	valid
10.0ms	154×	body	80	valid
4.0ms	29×	body	160	valid

simplify68.0ms

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: 41.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.1b	(- (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))

series118.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
39.0ms	(- (exp (- im)) (exp im))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

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

prune147.0ms

Filtered

80 candidates to 43 candidates (53.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.1b

Counts

81 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 140

Calls

3 calls:

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

series355.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
51.0ms	(* 1/3 (pow im 3))
220.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify97.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	583	2592
1	2548	1630
2	5001	1618

prune317.0ms

Filtered

149 candidates to 69 candidates (46.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Merged error: 0.0b

Counts

153 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.0b	(* (sin re) (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
6.0ms	(* (sin re) (pow im 5))
7.0ms	(* (sin re) (pow im 3))
4.0ms	(* (sin re) im)

series341.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
130.0ms	(* (sin re) (pow im 5))
77.0ms	(* (sin re) (pow im 3))
37.0ms	(* (sin re) im)

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	346	536
1	1461	466
2	5002	466

prune336.0ms

Filtered

113 candidates to 74 candidates (65.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	112	12	124

Merged error: 0.0b

Counts

124 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
16.7b	(cbrt (* (sin re) im))
16.7b	(cbrt (* (sin re) im))
16.7b	(cbrt (* (sin re) im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
3.0ms	(cbrt (* (sin re) im))
3.0ms	(cbrt (* (sin re) im))
3.0ms	(cbrt (* (sin re) im))

series401.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (* (sin re) im)) (cbrt (* (sin re) im)))
91.0ms	(cbrt (* (sin re) im))
92.0ms	(cbrt (* (sin re) im))
91.0ms	(cbrt (* (sin re) im))

simplify87.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3141	388
3	5002	366

prune302.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	79	11	90

Merged error: 0.0b

Counts

90 → 11

regimes274.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	4868×	body	1280	valid
1.1s	3688×	body	640	valid
406.0ms	4546×	body	80	valid
367.0ms	1873×	body	320	valid
121.0ms	994×	body	160	valid