Details

sample72.0ms

Algorithm

intervals

Results

36.0ms

510×

body

valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune13.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* j 27.0) k)
5.0b	(* (* (* (* x 18.0) y) z) t)
5.5b	(* (* (* x 18.0) y) z)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

137×	`associate-l`
86×	`add-sqr-sqrt`
38×	`unswap-sqr`
37×	`pow1` `add-exp-log` `add-cbrt-cube`
33×	`associate-r`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-commutative`
4×	`add-log-exp`

Counts

4 → 167

Calls

4 calls:

7.0ms	(* (* a 4.0) t)
7.0ms	(* (* j 27.0) k)
20.0ms	(* (* (* (* x 18.0) y) z) t)
13.0ms	(* (* (* x 18.0) y) z)

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* a 4.0) t)
20.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* (* x 18.0) y) z) t)
26.0ms	(* (* (* x 18.0) y) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	672	809
1	2946	706
2	5002	706

prune783.0ms

Filtered

179 candidates to 121 candidates (67.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	171	8	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Merged error: 0.3b

Counts

180 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) z)
0.4b	(* (* j 27.0) k)
3.8b	(* (* (* x 18.0) z) t)
4.5b	(* y (* (* (* x 18.0) z) t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

107×	`associate-l`
86×	`add-sqr-sqrt`
63×	`associate-r`
38×	`unswap-sqr`
37×	`pow1` `add-exp-log` `add-cbrt-cube`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-commutative`
4×	`add-log-exp`

Counts

4 → 167

Calls

4 calls:

8.0ms	(* (* x 18.0) z)
7.0ms	(* (* j 27.0) k)
13.0ms	(* (* (* x 18.0) z) t)
24.0ms	(* y (* (* (* x 18.0) z) t))

series109.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) z)
21.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) z) t)
43.0ms	(* y (* (* (* x 18.0) z) t))

simplify81.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	589	796
1	2984	693
2	5001	693

prune727.0ms

Filtered

179 candidates to 117 candidates (65.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	180	7	187

Merged error: 0.3b

Counts

187 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) z)
3.8b	(* (* (* x 18.0) z) t)
4.5b	(* y (* (* (* x 18.0) z) t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

98×	`associate-l`
86×	`add-sqr-sqrt`
72×	`associate-r`
38×	`unswap-sqr`
37×	`pow1` `add-exp-log` `add-cbrt-cube`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-commutative`
4×	`add-log-exp`

Counts

4 → 167

Calls

4 calls:

7.0ms	(* j (* 27.0 k))
7.0ms	(* (* x 18.0) z)
12.0ms	(* (* (* x 18.0) z) t)
25.0ms	(* y (* (* (* x 18.0) z) t))

series110.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) z)
26.0ms	(* (* (* x 18.0) z) t)
48.0ms	(* y (* (* (* x 18.0) z) t))

simplify91.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	597	798
1	3188	695
2	5002	695

prune706.0ms

Filtered

179 candidates to 117 candidates (65.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	179	7	186

Merged error: 0.3b

Counts

186 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* j 27.0))
0.8b	(cbrt (* j 27.0))
3.8b	(* (* (* x 18.0) z) t)
4.5b	(* y (* (* (* x 18.0) z) t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

83×	`associate-l`
74×	`add-sqr-sqrt`
57×	`associate-r`
32×	`unswap-sqr`
27×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-commutative`
4×	`add-log-exp`
2×	`pow1/3`

Counts

4 → 145

Calls

4 calls:

3.0ms	(cbrt (* j 27.0))
3.0ms	(cbrt (* j 27.0))
13.0ms	(* (* (* x 18.0) z) t)
21.0ms	(* y (* (* (* x 18.0) z) t))

series462.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (* j 27.0))
194.0ms	(cbrt (* j 27.0))
26.0ms	(* (* (* x 18.0) z) t)
49.0ms	(* y (* (* (* x 18.0) z) t))

simplify81.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	518	762
1	2523	679
2	5002	675

prune733.0ms

Filtered

157 candidates to 110 candidates (70.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	157	7	164

Merged error: 0.3b

Counts

164 → 7

regimes989.0ms

Accuracy

71.6% (1.3b remaining)

Error of 1.7b against oracle of 0.4b and baseline of 5.0b

bsearch319.0ms

Steps

Iters	Range		Point
9	1.2082574027126107e+77	7.074789958555298e+85	1.2411570421617533e+77
10	-62054.93953225066	-2.2469035647512937e-07	-0.0009422170274721504

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	30
1	66	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16062×

body

valid