Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune5.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) 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 (/ y z) y x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y z) y x)

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune42.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
6.5b	(/ (* y y) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
15×	`associate-/l*`
12×	`swap-sqr` `associate-r` `associate-l`
7×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`fma-def` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 96

Calls

2 calls:

17.0ms	(+ x (/ (* y y) z))
14.0ms	(/ (* y y) z)

series53.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (* y y) z))
19.0ms	(/ (* y y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	337	476
1	1543	448
2	5001	435

prune156.0ms

Filtered

102 candidates to 68 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y y) (/ 1 z)))
6.5b	(* (* y y) (/ 1 z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
24×	`add-exp-log`
21×	`associate-l`
19×	`times-frac` `unswap-sqr`
17×	`add-cube-cbrt`
16×	`associate-r`
14×	`add-cbrt-cube`
12×	`prod-exp`
9×	`associate-*r/`
7×	`pow1`
6×	`swap-sqr` `cbrt-unprod`
5×	`*-commutative`
4×	`div-exp` `associate-/l*` `add-log-exp`
3×	`fma-def` `pow-prod-down` `associate-/r*` `un-div-inv` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `clear-num` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

2 → 98

Calls

2 calls:

18.0ms	(+ x (* (* y y) (/ 1 z)))
19.0ms	(* (* y y) (/ 1 z))

series53.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* (* y y) (/ 1 z)))
23.0ms	(* (* y y) (/ 1 z))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	399	463
1	1843	392
2	5001	374

prune121.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* (cbrt (* y y)) (cbrt (* y y))) (/ z (cbrt (* y y))))
23.3b	(cbrt (* y y))
23.3b	(cbrt (* y y))
23.3b	(cbrt (* y y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

12438×	`cbrt-prod`
11366×	`times-frac`
11087×	`add-sqr-sqrt`
5511×	`*-un-lft-identity`
5275×	`add-cube-cbrt`
3880×	`swap-sqr`
3496×	`unswap-sqr`
2818×	`associate-l`
2700×	`associate-r`
1431×	`*-commutative`
104×	`associate-/l*`
103×	`div-inv`
76×	`associate-/r*`
39×	`add-cbrt-cube`
25×	`cbrt-undiv`
24×	`associate-/r/`
16×	`add-exp-log`
12×	`cbrt-unprod`
6×	`div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`frac-2neg` `prod-exp` `clear-num`

Counts

4 → 6147

Calls

4 calls:

157.0ms	(/ (* (cbrt (* y y)) (cbrt (* y y))) (/ z (cbrt (* y y))))
4.0ms	(cbrt (* y y))
4.0ms	(cbrt (* y y))
4.0ms	(cbrt (* y y))

series576.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* (cbrt (* y y)) (cbrt (* y y))) (/ z (cbrt (* y y))))
184.0ms	(cbrt (* y y))
184.0ms	(cbrt (* y y))
188.0ms	(cbrt (* y y))

simplify1.1s

Algorithm

egg-herbie

Counts

6159 → 6159

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5001	115473

prune7.0s

Filtered

6159 candidates to 1844 candidates (29.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	6159	0	6159
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	6159	4	6163

Merged error: 0b

Counts

6163 → 4

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	5	2

end0.0ms

sample420.0ms

Algorithm

intervals

Results

218.0ms

10524×

body

valid