Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)
8.0ms	(+ (+ (+ y z) z) y)
17.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series36.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)
5.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune93.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite71.0ms

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:

29.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
68.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune259.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
71.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
70.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify121.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	332	1248
1	1001	1172
2	4934	1086
3	5001	1086

prune300.0ms

Filtered

63 candidates to 67 candidates (-6.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(* (- (+ (+ (+ y z) z) y) t) x)
0.1b	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
25.2b	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
24×	`distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*l/`
17×	`add-sqr-sqrt`
13×	`add-log-exp`
12×	`distribute-lft-out--`
11×	`pow1` `associate-l`
9×	`add-cube-cbrt`
8×	`frac-times` `flip3--` `times-frac` `associate-/r*` `flip--` `associate-/l/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`sum-log`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`cbrt-undiv` `div-exp` `difference-of-squares`
2×	`associate-/r/` `*-commutative`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

8.0ms	(+ (+ (+ y z) z) y)
15.0ms	(* (- (+ (+ (+ y z) z) y) t) x)
19.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
30.0ms	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

series56.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ (+ y z) z) y)
12.0ms	(* (- (+ (+ (+ y z) z) y) t) x)
27.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
12.0ms	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

simplify98.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	582	1486
1	3588	1165
2	5002	1069

prune137.0ms

Filtered

88 candidates to 123 candidates (-39.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	123	7	130

Merged error: 0.0b

Counts

130 → 7

regimes391.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample889.0ms

Algorithm

intervals

Results

390.0ms	10593×	body	80	valid
14.0ms	86×	body	1280	valid
13.0ms	100×	body	640	valid
6.0ms	62×	body	320	valid
4.0ms	26×	body	160	valid

Details

sample44.0ms

simplify38.0ms

prune4.0ms

localize10.0ms

rewrite47.0ms

series36.0ms

simplify49.0ms

prune93.0ms

localize15.0ms

rewrite71.0ms

series331.0ms

simplify56.0ms

prune259.0ms

localize25.0ms

rewrite54.0ms

series278.0ms

simplify121.0ms

prune300.0ms

localize15.0ms

rewrite77.0ms

series56.0ms

simplify98.0ms

prune137.0ms

regimes391.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample889.0ms

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