Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

340×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

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: 8.3b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

10.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series183.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* z 2.0) (- 1.0 t))
59.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
75.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify77.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	553	869
1	2416	670
2	5001	668

prune295.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.6b	(/ 1 (* t z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `*-un-lft-identity`
13×	`fma-def`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef` `div-inv`
1×	`+-commutative` `associate-+r+` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 68

Calls

3 calls:

1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
5.0ms	(/ 1 (* t z))

series127.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
65.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
18.0ms	(/ 1 (* t z))

simplify99.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	227	393
1	815	355
2	3966	341
3	5001	339

prune243.0ms

Filtered

77 candidates to 56 candidates (72.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Merged error: 0b

Counts

84 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.3b	(* (/ 1 t) (/ 1 z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`add-exp-log`
39×	`times-frac`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
16×	`div-exp` `prod-exp`
15×	`add-cbrt-cube`
13×	`fma-def` `associate-r` `associate-l`
9×	`unswap-sqr`
8×	`rec-exp` `1-exp`
7×	`pow1`
5×	`add-log-exp`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv`
2×	`pow-flip` `fma-udef` `inv-pow`
1×	`+-commutative` `frac-times` `associate-+r+` `flip3-+` `associate-r/` `associate-l/` `sum-log` `un-div-inv` `*-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 110

Calls

3 calls:

1.0ms	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms	(* (/ 1 t) (/ 1 z))

series124.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
69.0ms	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
14.0ms	(* (/ 1 t) (/ 1 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	487	693
1	1846	583
2	5001	537

prune345.0ms

Filtered

119 candidates to 81 candidates (68.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Merged error: 0b

Counts

125 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
0.2b	(/ (/ 1 z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `associate-/l*`
12×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`div-exp` `div-inv`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `rec-exp` `associate-+r+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

3 → 112

Calls

3 calls:

1.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
7.0ms	(/ (/ 1 z) t)

series110.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
58.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
11.0ms	(/ (/ 1 z) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	434	748
1	1557	681
2	5001	633

prune327.0ms

Filtered

121 candidates to 80 candidates (66.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes125.0ms

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	19	9
1	19	9

end0.0ms

sample745.0ms

Algorithm

intervals

Results

458.0ms

10577×

body

valid