Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

316×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (86.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune8.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- 1 y) (/ x z) y)

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 (- 1 y) (/ x z) y)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (- 1 y) (/ x z) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune33.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))

rewrite12.0ms

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 (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
2.0ms	(cbrt (fma (- 1 y) (/ x z) y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
138.0ms	(cbrt (fma (- 1 y) (/ x z) y))
142.0ms	(cbrt (fma (- 1 y) (/ x z) y))
139.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	314	1139
1	1112	1069
2	5001	1008

prune274.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
10.6b	(/ (+ x (* y (- z x))) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `fma-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

6.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))
7.0ms	(/ (+ x (* y (- z x))) z)

series127.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (* y (- z x)))
45.0ms	(* y (- z x))
49.0ms	(/ (+ x (* y (- z x))) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	379	842
1	1526	592
2	5002	585

prune221.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
8.2b	(/ (* x y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `prod-diff`
24×	`times-frac`
13×	`fma-def`
10×	`distribute-lft-out` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
4×	`fma-neg`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `sum-log` `frac-sub` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `associate-/l*` `difference-of-squares`

Counts

3 → 103

Calls

3 calls:

8.0ms	(+ (/ x z) y)
12.0ms	(- (+ (/ x z) y) (/ (* x y) z))
5.0ms	(/ (* x y) z)

series78.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (/ x z) y)
32.0ms	(- (+ (/ x z) y) (/ (* x y) z))
27.0ms	(/ (* x y) z)

simplify77.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	393	1008
1	1703	734
2	5003	732

prune182.0ms

Filtered

112 candidates to 68 candidates (60.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	112	5	117

Merged error: 0b

Counts

117 → 5

regimes60.0ms

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	9	3
1	9	3

end0.0ms

sample463.0ms

Algorithm

intervals

Results

250.0ms

10119×

body

valid