Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

358×

body

valid

simplify7.0ms

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

prune2.0ms

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

localize9.0ms

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:

4.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series91.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify79.0ms

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

prune75.0ms

Filtered

30 candidates to 24 candidates (80.0%)

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))))
2.0b	(cbrt (+ (* x y) (* z t)))
2.0b	(cbrt (+ (* x y) (* z t)))
2.0b	(cbrt (+ (* x y) (* z t)))

rewrite28.0ms

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:

11.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
109.0ms	(cbrt (+ (* x y) (* z t)))
107.0ms	(cbrt (+ (* x y) (* z t)))
108.0ms	(cbrt (+ (* x y) (* z t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (83.0ms)

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

prune295.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (+ (* x y) (* z t)))
13.6b	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
28.1b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
28.1b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
16×	`add-exp-log`
14×	`flip3--` `flip--`
11×	`cbrt-prod`
8×	`frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `flip-+` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* z t)))
31.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ (* x y) (* z t)))
176.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
122.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
122.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	517	1826
1	1779	1508
2	5002	1452

prune395.0ms

Filtered

90 candidates to 77 candidates (85.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
4.3b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
30.1b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
23.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
34.0ms	(* (* a b) (* a b))
469.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
335.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune271.0ms

Filtered

132 candidates to 82 candidates (62.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes298.0ms

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

sample786.0ms

Algorithm

intervals

Results

387.0ms

11995×

body

valid

Details

sample27.0ms

simplify7.0ms

prune2.0ms

localize9.0ms

rewrite10.0ms

series91.0ms

simplify79.0ms

prune75.0ms

localize13.0ms

rewrite28.0ms

series456.0ms

simplify93.0ms

prune295.0ms

localize24.0ms

rewrite51.0ms

series532.0ms

simplify66.0ms

prune395.0ms

localize14.0ms

rewrite53.0ms

series894.0ms

simplify111.0ms

prune271.0ms

regimes298.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample786.0ms

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