Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

324×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

9.0ms

(* (+ x y) (- 1.0 z))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (+ x y) (- 1.0 z))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune80.0ms

Filtered

56 candidates to 29 candidates (51.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
7.0ms	(* (- z) (+ x y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
35.0ms	(* (- z) (+ x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	289	302
1	1292	273
2	5002	261

prune132.0ms

Filtered

60 candidates to 46 candidates (76.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series686.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt z) (cbrt z))
169.0ms	(cbrt z)
167.0ms	(cbrt z)
165.0ms	(cbrt z)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune259.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 z))
0.0b	(sqrt (- 1.0 z))
0.0b	(* (+ x y) (sqrt (- 1.0 z)))
0.1b	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
25×	`add-sqr-sqrt`
23×	`flip3--` `flip--`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

4.0ms	(sqrt (- 1.0 z))
7.0ms	(sqrt (- 1.0 z))
10.0ms	(* (+ x y) (sqrt (- 1.0 z)))
15.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (- 1.0 z))
31.0ms	(sqrt (- 1.0 z))
73.0ms	(* (+ x y) (sqrt (- 1.0 z)))
31.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	511	1095
1	1892	981
2	5001	962

prune331.0ms

Filtered

136 candidates to 97 candidates (71.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	136	4	140

Merged error: 0b

Counts

140 → 4

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	20	6
2	25	6
3	25	6

end0.0ms

sample398.0ms

Algorithm

intervals

Results

196.0ms	10071×	body	80	valid
0.0ms	2×	body	640	valid