Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

311×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune2.0ms

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: 3.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.0b	(* x (- 1.0 (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
7×	`associate-r`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`sub-neg` `unswap-sqr`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

2 → 44

Calls

2 calls:

6.0ms	(- 1.0 (* y z))
9.0ms	(* x (- 1.0 (* y z)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- 1.0 (* y z))
55.0ms	(* x (- 1.0 (* y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	168	220
1	632	199
2	2182	199
3	5003	199

prune82.0ms

Filtered

50 candidates to 33 candidates (34.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	39	11	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	11	51

Merged error: 2.0b

Counts

51 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
5.5b	(* x (- (* y z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-r`
24×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `associate-l`
14×	`distribute-rgt-neg-in`
12×	`distribute-lft-neg-in` `add-cube-cbrt`
10×	`distribute-lft-out`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`distribute-rgt-neg-out` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 68

Calls

2 calls:

31.0ms	(+ (* x 1.0) (* x (- (* y z))))
10.0ms	(* x (- (* y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* x (- (* y z))))
27.0ms	(* x (- (* y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	284	307
1	1424	275
2	5001	271

prune108.0ms

Filtered

74 candidates to 52 candidates (29.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	9	1	10
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-sqr-sqrt`
114×	`cbrt-prod`
98×	`associate-r`
83×	`unswap-sqr`
72×	`*-un-lft-identity`
70×	`associate-l`
60×	`cbrt-div`
34×	`associate-*r/`
31×	`add-cbrt-cube`
30×	`flip3--` `flip--`
29×	`cbrt-unprod`
28×	`frac-times`
24×	`swap-sqr` `distribute-lft-out--`
20×	`add-cube-cbrt`
16×	`difference-of-squares`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
7×	`*-commutative`
6×	`pow-prod-down` `prod-exp`
4×	`add-log-exp`
3×	`pow1/3`

Counts

4 → 202

Calls

4 calls:

61.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series958.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
235.0ms	(cbrt (- 1.0 (* y z)))
435.0ms	(cbrt (- 1.0 (* y z)))
236.0ms	(cbrt (- 1.0 (* y z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	799	2766
1	3042	2433
2	5002	2257

prune369.0ms

Filtered

214 candidates to 126 candidates (41.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	213	6	219

Merged error: 0b

Counts

219 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.6b	(* (cbrt x) (- (* y z)))
3.1b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
115×	`associate-r`
69×	`unswap-sqr`
57×	`cbrt-prod` `associate-l`
42×	`add-cbrt-cube`
39×	`cbrt-unprod`
34×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`pow1` `add-exp-log`
12×	`swap-sqr`
11×	`*-commutative`
9×	`pow-prod-down` `prod-exp`
4×	`add-log-exp`
3×	`distribute-rgt-neg-out`
2×	`neg-mul-1` `pow1/3`

Counts

4 → 198

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(* (cbrt x) (- (* y z)))
40.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
175.0ms	(cbrt x)
120.0ms	(* (cbrt x) (- (* y z)))
50.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify141.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	727	1829
1	4334	1445
2	5001	1357

prune352.0ms

Filtered

210 candidates to 143 candidates (31.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	210	6	216

Merged error: 0b

Counts

216 → 6

regimes196.0ms

Accuracy

88.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	17
1	61	17
2	69	17
3	69	17

end0.0ms

sample384.0ms

Algorithm

intervals

Results

192.0ms

9621×

body

valid