Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

263×

body

valid

simplify52.0ms

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: 5.3b

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)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite50.0ms

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)))
4.0ms	(- (* y z) x)
16.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
13.0ms	(/ (- (* y z) x) (- (* t z) x))

series317.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
24.0ms	(- (* y z) x)
131.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
67.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

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

prune341.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.9b	(/ y (- (* t z) x))
2.7b	(fma (/ y (- (* t z) x)) z x)
3.6b	(/ x (- (* t z) x))

rewrite37.0ms

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:

19.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
6.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))

series297.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
32.0ms	(/ y (- (* t z) x))
65.0ms	(fma (/ y (- (* t z) x)) z x)
69.0ms	(/ x (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (40.0ms)

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

prune389.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	134	9	143

Merged error: 0b

Counts

143 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
1.9b	(/ y (- (* t z) x))
2.7b	(fma (/ y (- (* t z) x)) z x)
3.6b	(/ x (- (* t z) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `cbrt-unprod` `difference-of-squares`
1×	`rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `fma-udef` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

20.0ms	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
6.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))

series287.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
32.0ms	(/ y (- (* t z) x))
61.0ms	(fma (/ y (- (* t z) x)) z x)
66.0ms	(/ x (- (* t z) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	558	1203
1	2379	1095
2	5001	1079

prune385.0ms

Filtered

134 candidates to 102 candidates (76.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Merged error: 0b

Counts

143 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.1b	(/ 1 (- (* t z) x))
8.9b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 134

Calls

4 calls:

4.0ms	(- (* y z) x)
8.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
19.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
130.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
32.0ms	(/ 1 (- (* t z) x))
60.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	512	1208
1	2399	1067
2	5001	1035

prune334.0ms

Filtered

146 candidates to 100 candidates (68.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	146	9	155

Merged error: 0b

Counts

155 → 9

regimes238.0ms

Accuracy

66.6% (1.4b remaining)

Error of 1.7b against oracle of 0.2b and baseline of 4.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	39
1	41	39

end0.0ms

sample538.0ms

Algorithm

intervals

Results

324.0ms

8305×

body

valid