Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
32.0ms	(+ 0.253 (* x 0.12))
68.0ms	(* x (+ 0.253 (* x 0.12)))

simplify36.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253

prune92.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series870.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
183.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune172.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (+ 0.253 (* x 0.12)))
0.3b	(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.6b	(cbrt x)
19.4b	(cbrt (pow x 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unpow-prod-down` `associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* (cbrt x) (+ 0.253 (* x 0.12)))
9.0ms	(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
1.0ms	(cbrt x)
2.0ms	(cbrt (pow x 2))

series757.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt x) (+ 0.253 (* x 0.12)))
81.0ms	(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
173.0ms	(cbrt x)
171.0ms	(cbrt (pow x 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	376	590
1	1693	524
2	5001	508

prune230.0ms

Filtered

97 candidates to 71 candidates (73.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Merged error: 0b

Counts

108 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2))))
19.4b	(cbrt (pow x 2))
19.4b	(cbrt (pow x 2))
19.4b	(cbrt (pow x 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

6.0ms	(cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2))))
2.0ms	(cbrt (pow x 2))
2.0ms	(cbrt (pow x 2))
2.0ms	(cbrt (pow x 2))

series729.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2))))
177.0ms	(cbrt (pow x 2))
181.0ms	(cbrt (pow x 2))
175.0ms	(cbrt (pow x 2))

simplify227.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	87	303
1	199	263
2	734	249
3	4616	249
4	5003	249

prune195.0ms

Filtered

69 candidates to 53 candidates (76.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	69	12	81

Merged error: 0b

Counts

81 → 12

regimes110.0ms

Accuracy

0% (0.1b 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	11	4
1	11	4

end0.0ms

sample372.0ms

Algorithm

intervals

Results

255.0ms

10729×

body

valid