Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	284×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune7.0ms

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/r*`
4×	`add-cube-cbrt`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `associate-*r/` `div-exp` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 41

Calls

2 calls:

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

series152.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
63.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify101.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	246	275
1	951	235
2	4387	233
3	5001	233

prune133.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

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)))

rewrite34.0ms

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))))
19.0ms	(* 60.0 (/ (- x y) (- z t)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- x y) (- z t))
101.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
65.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (50.0ms)

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

prune305.0ms

Filtered

125 candidates to 86 candidates (68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

10.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series467.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- z t) (- x y))
103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
305.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815

prune556.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	217	4	221

Merged error: 0.0b

Counts

221 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

6.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
14.0ms	(* (/ 60.0 (- z t)) (- x y))

series460.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 60.0 (- z t))
103.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
312.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify73.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	514	923
1	2059	746
2	5002	738

prune264.0ms

Filtered

128 candidates to 85 candidates (66.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

regimes228.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample583.0ms

Algorithm

intervals

Results

300.0ms	8537×	body	80	valid
7.0ms	41×	body	1280	valid
4.0ms	21×	body	2560	valid
4.0ms	31×	body	640	valid
2.0ms	21×	body	320	valid
0.0ms	5×	body	160	valid