Details

sample153.0ms

Algorithm

intervals

Results

73.0ms	148×	body	1280	valid
34.0ms	122×	body	640	valid
12.0ms	68×	body	320	valid
10.0ms	172×	body	80	valid
3.0ms	29×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1025	7
7	2309	7
8	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 42.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.1b	(- (exp (neg im)) (exp im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

10.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	329
2	5001	328

prune63.0ms

Filtered

46 candidates to 32 candidates (30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

7.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
11.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(* 1/60 (pow im 5))
36.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(* -1/3 (pow im 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	447	758
1	2066	657
2	5001	657

prune190.0ms

Filtered

106 candidates to 64 candidates (39.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	101	9	110

Merged error: 0.0b

Counts

110 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`prod-exp`
23×	`associate-r`
22×	`add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `cbrt-unprod`
10×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
4×	`pow-to-exp` `cube-prod` `pow-prod-down` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-*l/`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* -1/60 (pow im 5))
8.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
6.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
6.0ms	(* -1/3 (pow im 3))

series35.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* -1/60 (pow im 5))
17.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
10.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
4.0ms	(* -1/3 (pow im 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	456	610
1	2127	512
2	5002	512

prune197.0ms

Filtered

112 candidates to 67 candidates (40.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* -1/60 (pow im 5))
0.1b	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
0.1b	(* -1/3 (pow im 3))
0.9b	(log (exp (* -1/3 (pow im 3))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`associate-r`
16×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
7×	`pow1` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`log-prod` `log-pow` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `associate-*l/` `pow-exp`
1×	`cube-mult` `exp-prod` `exp-to-pow` `flip3-+` `unpow3` `rem-log-exp` `pow-prod-down` `flip-+`

Counts

4 → 90

Calls

4 calls:

5.0ms	(* -1/60 (pow im 5))
6.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
6.0ms	(* -1/3 (pow im 3))
2.0ms	(log (exp (* -1/3 (pow im 3))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* -1/60 (pow im 5))
10.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
6.0ms	(* -1/3 (pow im 3))
4.0ms	(log (exp (* -1/3 (pow im 3))))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	342	458
1	1469	410
2	5001	408

prune177.0ms

Filtered

102 candidates to 67 candidates (34.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

regimes504.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	4815×	body	1280	valid
1.1s	3814×	body	640	valid
346.0ms	1892×	body	320	valid
248.0ms	4511×	body	80	valid
105.0ms	881×	body	160	valid

Details

sample153.0ms

simplify67.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series20.0ms

simplify34.0ms

prune63.0ms

localize14.0ms

rewrite31.0ms

series50.0ms

simplify65.0ms

prune190.0ms

localize19.0ms

rewrite28.0ms

series35.0ms

simplify65.0ms

prune197.0ms

localize18.0ms

rewrite21.0ms

series24.0ms

simplify47.0ms

prune177.0ms

regimes504.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

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