Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify47.0ms

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

prune5.0ms

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: 5.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

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:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
20.0ms	(- (* y z) x)
112.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
56.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (49.0ms)

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

prune262.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Merged error: 0.2b

Counts

126 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.0b	(/ x (- (* t z) x))
2.2b	(fma (/ y (- (* t z) x)) z x)
2.6b	(/ y (- (* t z) x))

rewrite34.0ms

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

series240.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
53.0ms	(/ x (- (* t z) x))
52.0ms	(fma (/ y (- (* t z) x)) z x)
26.0ms	(/ y (- (* t z) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (35.0ms)

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

prune316.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Merged error: 0.2b

Counts

144 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (/ (- (* t z) x) y))
2.0b	(/ x (- (* t z) x))
2.2b	(fma (/ 1 (/ (- (* t z) x) y)) z x)
2.4b	(/ (- (* t z) x) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/ 1 (/ (- (* t z) x) y))
5.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)
7.0ms	(/ (- (* t z) x) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (/ (- (* t z) x) y))
60.0ms	(/ x (- (* t z) x))
40.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)
55.0ms	(/ (- (* t z) x) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	508	1180
1	2372	1055
2	5002	983

prune320.0ms

Filtered

163 candidates to 104 candidates (63.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	163	8	171

Merged error: 0.2b

Counts

171 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (+ (* (/ z (- (* t z) x)) y) x) (/ x (- (* t z) x))) (+ x 1.0))
2.0b	(/ x (- (* t z) x))
3.2b	(* (/ z (- (* t z) x)) y)
8.1b	(/ z (- (* t z) x))

rewrite51.0ms

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:

27.0ms	(/ (- (+ (* (/ z (- (* t z) x)) y) x) (/ x (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
9.0ms	(* (/ z (- (* t z) x)) y)
6.0ms	(/ z (- (* t z) x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (- (+ (* (/ z (- (* t z) x)) y) x) (/ x (- (* t z) x))) (+ x 1.0))
55.0ms	(/ x (- (* t z) x))
58.0ms	(* (/ z (- (* t z) x)) y)
29.0ms	(/ z (- (* t z) x))

simplify72.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	613	1637
1	2350	1519
2	5002	1512

prune351.0ms

Filtered

165 candidates to 127 candidates (77.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	165	8	173

Merged error: 0.2b

Counts

173 → 8

regimes134.0ms

Accuracy

2.1% (1.9b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch49.0ms

Steps

Iters	Range		Point
8	4.9556796292678206e+131	8.240867256172529e+135	6.807768096301056e+135

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample610.0ms

Algorithm

intervals

Results

392.0ms

8362×

body

valid