Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

Iter	Nodes	Cost
0	20	17
1	46	17
2	128	17
3	340	17
4	662	17
5	897	15
6	1179	15
7	1753	15
8	5001	15

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* t (/ t (+ 1.0 t)))
0.0b	(/ 2.0 (+ 1.0 t))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `times-frac`
29×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out`
6×	`associate-/l*`
5×	`pow1`
4×	`associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 103

Calls

3 calls:

9.0ms	(* t (/ t (+ 1.0 t)))
5.0ms	(/ 2.0 (+ 1.0 t))
3.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))

series241.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* t (/ t (+ 1.0 t)))
32.0ms	(/ 2.0 (+ 1.0 t))
175.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))

simplify59.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	456	1056
1	1938	953
2	5001	949

prune253.0ms

Filtered

112 candidates to 83 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* t (/ t (+ 1.0 t)))
0.0b	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
0.0b	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
0.0b	(/ 2.0 (+ 1.0 t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 104

Calls

4 calls:

10.0ms	(* t (/ t (+ 1.0 t)))
2.0ms	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
2.0ms	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
6.0ms	(/ 2.0 (+ 1.0 t))

series376.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* t (/ t (+ 1.0 t)))
148.0ms	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
157.0ms	(sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
32.0ms	(/ 2.0 (+ 1.0 t))

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	431	769
1	1898	711
2	5001	699

prune292.0ms

Filtered

116 candidates to 85 candidates (73.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 t))
0.0b	(/ 2.0 (+ 1.0 t))
0.0b	(/ 2.0 (+ 1.0 t))
0.0b	(* (/ 1 (* (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)))) (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
69×	`times-frac`
67×	`add-sqr-sqrt`
55×	`add-exp-log`
46×	`add-cube-cbrt`
24×	`add-cbrt-cube`
22×	`associate-r`
20×	`prod-exp`
18×	`div-exp`
12×	`cbrt-prod` `associate-/r*` `distribute-lft-out`
10×	`cbrt-undiv`
9×	`associate-/l*` `unswap-sqr`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`pow1` `associate-/r/`
5×	`div-inv`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 177

Calls

4 calls:

6.0ms	(/ 2.0 (+ 1.0 t))
6.0ms	(/ 2.0 (+ 1.0 t))
6.0ms	(/ 2.0 (+ 1.0 t))
21.0ms	(* (/ 1 (* (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)))) (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 2.0 (+ 1.0 t))
32.0ms	(/ 2.0 (+ 1.0 t))
27.0ms	(/ 2.0 (+ 1.0 t))
181.0ms	(* (/ 1 (* (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1)))) (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (cbrt (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

simplify94.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	629	3361
1	2844	2870
2	5001	2616

prune535.0ms

Filtered

189 candidates to 128 candidates (67.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	189	4	193

Merged error: 0b

Counts

193 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 t))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
0.5b	(* (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))) (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
72×	`times-frac`
69×	`*-un-lft-identity`
66×	`sqrt-prod`
61×	`add-cube-cbrt`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
9×	`associate-/l*` `unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
7×	`div-inv`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `clear-num` `pow-sqr`
2×	`associate-/r/`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 182

Calls

4 calls:

5.0ms	(/ 2.0 (+ 1.0 t))
3.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
3.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
13.0ms	(* (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))) (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 2.0 (+ 1.0 t))
179.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
177.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))
183.0ms	(* (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))) (sqrt (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ 2.0 (+ 1.0 t)) (* t (/ t (+ 1.0 t))) 1))))

simplify91.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	435	3922
1	2179	3596
2	5001	3525

prune491.0ms

Filtered

194 candidates to 133 candidates (68.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	194	4	198

Merged error: 0b

Counts

198 → 4

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	19	15
1	19	15

end0.0ms

sample369.0ms

Algorithm

intervals

Results

274.0ms

8000×

body

valid