Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

363×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
11×	`associate-l`
10×	`distribute-lft-out`
7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

15.0ms	(+ (* (+ (* x y) z) y) t)
7.0ms	(+ (* x y) z)
13.0ms	(* (+ (* x y) z) y)

series114.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
33.0ms	(* (+ (* x y) z) y)

simplify112.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	208	289
1	742	263
2	4187	259
3	5002	259

prune106.0ms

Filtered

59 candidates to 36 candidates (61.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
19×	`associate-l`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 108

Calls

4 calls:

19.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))

series450.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
110.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))
105.0ms	(cbrt (+ (* x y) z))

simplify159.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	282	1010
1	1002	942
2	4999	801
3	5002	801

prune279.0ms

Filtered

120 candidates to 75 candidates (62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
65×	`*-un-lft-identity`
28×	`cbrt-div`
25×	`add-sqr-sqrt`
22×	`distribute-lft-out`
19×	`associate-l`
17×	`add-cube-cbrt`
14×	`swap-sqr`
9×	`flip3-+` `flip-+`
8×	`associate-r`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/`
1×	`*-commutative`

Counts

4 → 103

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
23.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
8.0ms	(cbrt (cbrt (+ (* x y) z)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
136.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
106.0ms	(cbrt (cbrt (+ (* x y) z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	339	1247
1	937	1205
2	3709	1092
3	5001	1089

prune351.0ms

Filtered

115 candidates to 75 candidates (65.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
65×	`*-un-lft-identity`
28×	`cbrt-div`
25×	`add-sqr-sqrt`
22×	`distribute-lft-out`
19×	`associate-l`
17×	`add-cube-cbrt`
14×	`swap-sqr`
9×	`flip3-+` `flip-+`
8×	`associate-r`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/`
1×	`*-commutative`

Counts

4 → 103

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))
21.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
8.0ms	(cbrt (cbrt (+ (* x y) z)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
126.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
107.0ms	(cbrt (cbrt (+ (* x y) z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	339	1247
1	937	1205
2	3709	1092
3	5001	1089

prune335.0ms

Filtered

115 candidates to 75 candidates (65.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample555.0ms

Algorithm

intervals

Results

266.0ms

11187×

body

valid