Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

341×

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

6.0ms	(+ 0.253 (* x 0.12))
11.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
9.0ms	(* x (+ 0.253 (* x 0.12)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ 0.253 (* x 0.12))
27.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
68.0ms	(* x (+ 0.253 (* x 0.12)))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	235	324
1	981	303
2	5002	303

prune99.0ms

Filtered

68 candidates to 45 candidates (66.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (pow (+ 0.253 (* x 0.12)) 1)))
0.1b	(* x (pow (+ 0.253 (* x 0.12)) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
9×	`associate-r`
8×	`add-exp-log`
7×	`pow1` `unpow-prod-down` `add-log-exp`
6×	`add-cube-cbrt` `associate-l` `unswap-sqr`
5×	`add-cbrt-cube`
4×	`distribute-lft-out` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `sqr-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-unpow` `flip3--` `flip3-+` `diff-log` `pow-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 61

Calls

3 calls:

6.0ms	(+ 0.253 (* x 0.12))
13.0ms	(- 1.0 (* x (pow (+ 0.253 (* x 0.12)) 1)))
11.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

series135.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 0.253 (* x 0.12))
33.0ms	(- 1.0 (* x (pow (+ 0.253 (* x 0.12)) 1)))
68.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	254	402
1	1104	368
2	5001	363

prune106.0ms

Filtered

70 candidates to 42 candidates (60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

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

series769.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt x) (cbrt x))
187.0ms	(cbrt x)
192.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune166.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite39.0ms

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:

16.0ms	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
6.0ms	(cbrt (+ 0.253 (* x 0.12)))
8.0ms	(cbrt (+ 0.253 (* x 0.12)))
6.0ms	(cbrt (+ 0.253 (* x 0.12)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
131.0ms	(cbrt (+ 0.253 (* x 0.12)))
126.0ms	(cbrt (+ 0.253 (* x 0.12)))
134.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify50.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	432	1303
1	1568	1235
2	5001	1025

prune251.0ms

Filtered

120 candidates to 75 candidates (62.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Merged error: 0b

Counts

128 → 8

regimes33.0ms

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	15	5
1	15	5

end0.0ms

sample302.0ms

Algorithm

intervals

Results

191.0ms

10575×

body

valid