Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune6.0ms

Filtered

1 candidates to 1 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: 1.6b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

1.6b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ x y) (- z t) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune32.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 1.6b

Counts

15 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.9b	(* (/ x y) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
10.0ms	(* (/ x y) (- z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune200.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.8b	(cbrt (/ x y))
10.8b	(cbrt (/ x y))
10.8b	(cbrt (/ x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

19.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))

series241.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
65.0ms	(cbrt (/ x y))
63.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	777	2311
1	2229	1663
2	5001	1430

prune305.0ms

Filtered

175 candidates to 97 candidates (55.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	175	8	183

Merged error: 0b

Counts

183 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.4b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.6b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
21.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
18.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series443.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- z t))
144.0ms	(cbrt (- z t))
54.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
96.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify76.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	832	2341
1	2673	2121
2	5001	2060

prune365.0ms

Filtered

184 candidates to 113 candidates (61.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	184	8	192

Merged error: 0b

Counts

192 → 8

regimes172.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample537.0ms

Algorithm

intervals

Results

274.0ms

10726×

body

valid