Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	148×	body	1280	valid
0.0hr	122×	body	640	valid
0.0hr	68×	body	320	valid
0.0hr	172×	body	80	valid
0.0hr	29×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
0.0hr	(- (exp (neg im)) (exp im))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
0.0hr	(- (exp (neg im)) (exp im))

simplify0.0hr

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))))

rewrite0.0hr

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:

0.0hr	(* -1/60 (pow im 5))
0.0hr	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
0.0hr	(* -1/3 (pow im 3))
0.0hr	(log (exp (* -1/3 (pow im 3))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* -1/60 (pow im 5))
0.0hr	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
0.0hr	(* -1/3 (pow im 3))
0.0hr	(log (exp (* -1/3 (pow im 3))))

simplify0.0hr

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

regimes0.0hr

Accuracy

0% (1.0b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	4815×	body	1280	valid
0.0hr	3814×	body	640	valid
0.0hr	1892×	body	320	valid
0.0hr	4511×	body	80	valid
0.0hr	881×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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