Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

263×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 8.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
1.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

12.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
8.0ms	(- (* y z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* y z) x)
132.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	455	1085
1	1987	1003
2	5001	1002

prune317.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	9	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Merged error: 1.0b

Counts

126 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.4b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))
3.6b	(/ y (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

17.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series276.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
56.0ms	(fma (/ y (- (* t z) x)) z x)
64.0ms	(/ x (- (* t z) x))
28.0ms	(/ y (- (* t z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	488	1388
1	1679	1305
2	5002	1301

prune388.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Merged error: 0.7b

Counts

146 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (- (+ (* (/ y (- (* t z) x)) z) x) (/ x (- (* t z) x))) (+ x 1.0))
3.0b	(/ x (- (* t z) x))
3.6b	(/ y (- (* t z) x))
8.7b	(* (/ y (- (* t z) x)) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
57×	`times-frac`
40×	`add-cube-cbrt`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
12×	`associate-/l*`
10×	`associate-/r*` `difference-of-squares`
8×	`associate-/r/`
7×	`distribute-lft-out`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`flip3-+` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 153

Calls

4 calls:

24.0ms	(/ (- (+ (* (/ y (- (* t z) x)) z) x) (/ x (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))
9.0ms	(* (/ y (- (* t z) x)) z)

series262.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (- (+ (* (/ y (- (* t z) x)) z) x) (/ x (- (* t z) x))) (+ x 1.0))
60.0ms	(/ x (- (* t z) x))
35.0ms	(/ y (- (* t z) x))
35.0ms	(* (/ y (- (* t z) x)) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	612	1637
1	2325	1519
2	5002	1512

prune445.0ms

Filtered

165 candidates to 127 candidates (77.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	165	11	176

Merged error: 0.7b

Counts

176 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
1.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `prod-diff` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 185

Calls

4 calls:

5.0ms	(- (* y z) x)
12.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
30.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ (- (* t z) x) (- (* y z) x))

series345.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* y z) x)
92.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
155.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
76.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify116.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	676	2096
1	3331	1893
2	5002	1810

prune601.0ms

Filtered

197 candidates to 117 candidates (59.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	197	11	208

Merged error: 0.7b

Counts

208 → 11

regimes289.0ms

Accuracy

31.3% (3.0b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 4.6b

bsearch98.0ms

Steps

Iters	Range		Point
7	1.0457934021786247e+152	3.9412713861764114e+153	8.47319336551829e+152
8	-2.6884485280844006e+105	-5.741355610885231e+101	-5.874196590755773e+101

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	24
1	39	24

end0.0ms

sample561.0ms

Algorithm

intervals

Results

339.0ms

8334×

body

valid