Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

285×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	21	3
2	49	3
3	73	3
4	77	3
5	89	3
6	109	3
7	153	3
8	264	3
9	538	3
10	627	3
11	835	3
12	1156	3
13	1609	3
14	2088	3
15	2831	3
16	5001	3

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (* (+ x 1.0) y) x)
38.0ms	(* (+ x 1.0) y)

simplify138.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	194	202
1	893	173
2	4898	169
3	5001	169

prune67.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ x 1.0) y (- x))

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 1.0) y (- x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(fma (+ x 1.0) y (- x))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	59
1	87	52
2	419	52
3	2620	52
4	5002	52

prune20.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
95.0ms	(cbrt (+ x 1.0))
86.0ms	(cbrt (+ x 1.0))
85.0ms	(cbrt (+ x 1.0))

simplify153.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	321	818
1	1064	769
2	4750	694
3	5001	688

prune224.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample329.0ms

Algorithm

intervals

Results

190.0ms	9115×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid