Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

398×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune4.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series29.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify78.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune47.0ms

Filtered

24 candidates to 30 candidates (-25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.7b	(cbrt (+ (* x y) (* z t)))
1.7b	(cbrt (+ (* x y) (* z t)))
1.7b	(cbrt (+ (* x y) (* z t)))

rewrite25.0ms

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)))
5.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
37.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify108.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	315	1087
1	1067	1022
2	4322	952
3	5001	933

prune112.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.2b	(sqrt (+ (* x y) (* z t)))
1.2b	(sqrt (+ (* x y) (* z t)))

rewrite34.0ms

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-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
11.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
10.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms	(sqrt (+ (* x y) (* z t)))
20.0ms	(sqrt (+ (* x y) (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	307	895
1	1276	802
2	5001	770

prune93.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (+ (* x y) (* z t)) (* a b))
124.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
128.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
20.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	314	1153
1	1488	1063
2	5003	1037

prune88.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

regimes806.0ms

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	16	5
1	16	5

end0.0ms

sample996.0ms

Algorithm

intervals

Results

459.0ms

11966×

body

valid

Details

sample41.0ms

simplify6.0ms

prune4.0ms

localize8.0ms

rewrite10.0ms

series29.0ms

simplify78.0ms

prune47.0ms

localize13.0ms

rewrite25.0ms

series154.0ms

simplify108.0ms

prune112.0ms

localize12.0ms

rewrite34.0ms

series71.0ms

simplify50.0ms

prune93.0ms

localize11.0ms

rewrite34.0ms

series291.0ms

simplify58.0ms

prune88.0ms

regimes806.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample996.0ms

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