Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

265×

body

valid

simplify62.0ms

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: 7.1b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.4b	(/ (- (* 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:

5.0ms	(- (* t z) x)
12.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
17.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series328.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
96.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
136.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
69.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	453	1085
1	1987	1003
2	5001	1002

prune353.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

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))
2.2b	(fma (/ y (- (* t z) x)) z x)
2.7b	(/ x (- (* t z) x))
2.7b	(/ y (- (* t z) x))

rewrite42.0ms

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:

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

series305.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
60.0ms	(fma (/ y (- (* t z) x)) z x)
71.0ms	(/ x (- (* t z) x))
34.0ms	(/ y (- (* t z) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (48.0ms)

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

prune399.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	137	5	142

Merged error: 0.0b

Counts

142 → 5

localize15.0ms

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)))
2.2b	(fma (/ y (- (* t z) x)) z x)
2.7b	(/ x (- (* t z) x))
2.7b	(/ y (- (* t z) x))

rewrite44.0ms

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:

26.0ms	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))
7.0ms	(/ y (- (* t z) x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
60.0ms	(fma (/ y (- (* t z) x)) z x)
75.0ms	(/ x (- (* t z) x))
33.0ms	(/ y (- (* t z) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (64.0ms)

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

prune374.0ms

Filtered

134 candidates to 102 candidates (76.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	134	5	139

Merged error: 0.0b

Counts

139 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
10.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
35×	`times-frac`
31×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`distribute-lft-out`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3-+` `div-exp` `flip-+`
4×	`expm1-log1p-u` `associate-l` `prod-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `flip3--` `frac-2neg` `1-exp` `div-sub` `associate-*l/` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 139

Calls

4 calls:

12.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms	(/ 1 (+ x 1.0))
23.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series327.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
26.0ms	(/ 1 (+ x 1.0))
134.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
68.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify88.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	543	1210
1	2408	1092
2	5001	1055

prune334.0ms

Filtered

151 candidates to 103 candidates (68.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

regimes153.0ms

Accuracy

21.1% (3.4b remaining)

Error of 3.7b against oracle of 0.3b and baseline of 4.6b

bsearch113.0ms

Steps

Iters	Range		Point
8	4.965461357868195e+145	7.903551128259681e+148	4.45263560322657e+148
8	-5.999509426169903e+183	-1.4755743744294092e+180	-3.681533912019419e+183

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample629.0ms

Algorithm

intervals

Results

408.0ms

8316×

body

valid