Details

sample57.0ms

Algorithm

intervals

Results

28.0ms

427×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	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: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series293.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* z t))
56.0ms	(+ (+ (* x y) (* z t)) (* a b))
205.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune120.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
98.0ms	(cbrt (+ (* x y) (* z t)))
100.0ms	(cbrt (+ (* x y) (* z t)))
99.0ms	(cbrt (+ (* x y) (* z t)))

simplify88.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune301.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
14.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series930.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (+ (* x y) (* z t)) (* a b))
406.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
423.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
51.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	1141
1	1294	1043
2	5001	1013

prune268.0ms

Filtered

112 candidates to 66 candidates (58.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-r/` `associate-r*`
9×	`flip3-+` `associate-l` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

10.0ms	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
15.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
251.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
120.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	437	1870
1	1377	1707
2	5001	1671

prune422.0ms

Filtered

95 candidates to 77 candidates (81.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

regimes454.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

684.0ms

13716×

body

valid

Details

sample57.0ms

simplify9.0ms

prune3.0ms

localize15.0ms

rewrite17.0ms

series293.0ms

simplify42.0ms

prune120.0ms

localize15.0ms

rewrite23.0ms

series418.0ms

simplify88.0ms

prune301.0ms

localize19.0ms

rewrite32.0ms

series930.0ms

simplify49.0ms

prune268.0ms

localize19.0ms

rewrite38.0ms

series697.0ms

simplify54.0ms

prune422.0ms

regimes454.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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