Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	272×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune10.0ms

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

8.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series211.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* 60.0 (- x y))
108.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
67.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune222.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 0b

Counts

97 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- x y) (- z t))
99.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
64.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696

prune293.0ms

Filtered

125 candidates to 85 candidates (68.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	127	6	133

Merged error: 0b

Counts

133 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))
0.3b	(* (sqrt 60.0) (/ (- x y) (- z t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
32×	`associate-r`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `flip--`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num` `fma-udef`

Counts

4 → 147

Calls

4 calls:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
14.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))
16.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- x y) (- z t))
248.0ms	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
210.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))
134.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	468	1102
1	1970	983
2	5001	981

prune367.0ms

Filtered

159 candidates to 107 candidates (67.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	159	6	165

Merged error: 0b

Counts

165 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
0.5b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
20×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

5.0ms	(/ 1 (- z t))
7.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
13.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1 (- z t))
30.0ms	(* 60.0 (- x y))
88.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
60.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	550	1010
1	2780	771
2	5002	726

prune257.0ms

Filtered

163 candidates to 87 candidates (53.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	163	6	169

Merged error: 0b

Counts

169 → 6

regimes251.0ms

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	13	5
1	13	5

end0.0ms

sample585.0ms

Algorithm

intervals

Results

299.0ms	8545×	body	80	valid
8.0ms	51×	body	1280	valid
5.0ms	29×	body	2560	valid
4.0ms	35×	body	640	valid
2.0ms	17×	body	320	valid
0.0ms	6×	body	160	valid