Details

analyze340.0ms

Algorithm: search

sample146.0ms

Algorithm

intervals

Results

58.0ms	102×	body	1280	valid
26.0ms	82×	body	640	valid
15.0ms	45×	body	1280	invalid
9.0ms	40×	body	640	invalid
8.0ms	39×	body	320	valid
6.0ms	105×	body	80	invalid
4.0ms	25×	body	320	invalid
3.0ms	24×	body	160	valid
2.0ms	14×	body	160	invalid
1.0ms	9×	body	80	valid

simplify66.0ms

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

prune6.0ms

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: 42.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.2b	(- (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 (29.0ms)

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

prune69.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`+-commutative` `cube-mult` `flip3--` `flip3-+` `unpow3` `sum-log` `flip--` `flip-+`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
6.0ms	(* -1/3 (pow im 3))
10.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
4.0ms	(* 1/60 (pow im 5))
4.0ms	(* -1/3 (pow im 3))
33.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	464	658
1	2134	579
2	5001	579

prune193.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* -1/60 (pow im 5))
16.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
4.0ms	(* -1/3 (pow im 3))
11.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	456	591
1	2130	506
2	5002	504

prune208.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Merged error: 0.0b

Counts

121 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
15.3b	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
10.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
75.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
76.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
73.0ms	(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	413	1954
1	1680	1759
2	5002	1624

prune428.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

regimes481.0ms

Accuracy

0% (0.6b 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	29	13

end0.0ms

analyze533.0ms

Algorithm: search

sample4.5s

Algorithm

intervals

Results

1.9s	3264×	body	1280	valid
818.0ms	2557×	body	640	valid
521.0ms	1494×	body	1280	invalid
284.0ms	1209×	body	640	invalid
257.0ms	1290×	body	320	valid
136.0ms	2276×	body	80	invalid
101.0ms	596×	body	320	invalid
86.0ms	623×	body	160	valid
38.0ms	326×	body	160	invalid
17.0ms	266×	body	80	valid

Details

analyze340.0ms

sample146.0ms

simplify66.0ms

prune6.0ms

localize10.0ms

rewrite16.0ms

series20.0ms

simplify34.0ms

prune69.0ms

localize16.0ms

rewrite28.0ms

series55.0ms

simplify66.0ms

prune193.0ms

localize16.0ms

rewrite29.0ms

series35.0ms

simplify65.0ms

prune208.0ms

localize19.0ms

rewrite40.0ms

series333.0ms

simplify60.0ms

prune428.0ms

regimes481.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze533.0ms

sample4.5s

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