Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid

simplify39.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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

localize11.0ms

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:

15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
8.0ms	(+ (+ y z) z)
8.0ms	(+ (+ (+ y z) z) y)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)
5.0ms	(+ (+ (+ y z) z) y)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

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

prune94.0ms

Filtered

83 candidates to 58 candidates (30.1%)

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)))

rewrite74.0ms

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:

30.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
15.0ms	(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)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
64.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune283.0ms

Filtered

99 candidates to 75 candidates (24.2%)

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))))

rewrite55.0ms

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

series258.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
64.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify117.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

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

prune334.0ms

Filtered

67 candidates to 63 candidates (6.0%)

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

localize19.0ms

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))

rewrite79.0ms

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)
14.0ms	(* (- (+ (+ (+ y z) z) y) t) x)
20.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
33.0ms	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

series55.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ (+ y z) z) y)
11.0ms	(* (- (+ (+ (+ y z) z) y) t) x)
25.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
14.0ms	(/ (* (+ (* 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 (84.0ms)

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

prune139.0ms

Filtered

123 candidates to 88 candidates (28.5%)

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

regimes405.0ms

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

sample942.0ms

Algorithm

intervals

Results

415.0ms	10593×	body	80	valid
17.0ms	86×	body	1280	valid
14.0ms	100×	body	640	valid
7.0ms	62×	body	320	valid
2.0ms	26×	body	160	valid

Details

sample34.0ms

simplify39.0ms

prune4.0ms

localize11.0ms

rewrite47.0ms

series33.0ms

simplify46.0ms

prune94.0ms

localize15.0ms

rewrite74.0ms

series311.0ms

simplify53.0ms

prune283.0ms

localize25.0ms

rewrite55.0ms

series258.0ms

simplify117.0ms

prune334.0ms

localize19.0ms

rewrite79.0ms

series55.0ms

simplify98.0ms

prune139.0ms

regimes405.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample942.0ms

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