Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

267×

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: 9.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite45.0ms

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	(- (* y z) x)
11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms	(/ (- (* y z) x) (- (* t z) x))

series295.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* y z) x)
86.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
124.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
63.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (64.0ms)

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

prune338.0ms

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: 0.3b

Counts

126 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
3.0b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ y (- (* t z) x))
4.0b	(/ x (- (* t z) x))

rewrite39.0ms

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:

18.0ms	(/ (- (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	(/ y (- (* t z) x))
10.0ms	(/ x (- (* t z) x))

series277.0ms

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)
31.0ms	(/ y (- (* t z) x))
64.0ms	(/ x (- (* t z) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (48.0ms)

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

prune363.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Merged error: 0.3b

Counts

144 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
3.0b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ y (- (* t z) x))
4.0b	(/ x (- (* t z) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `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-+` `flip-+` `fma-udef`

Counts

4 → 124

Calls

4 calls:

14.0ms	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ y (- (* t z) x))
10.0ms	(/ x (- (* t z) x))

series316.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
77.0ms	(fma (/ y (- (* t z) x)) z x)
42.0ms	(/ y (- (* t z) x))
63.0ms	(/ x (- (* t z) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	424	1343
1	1484	1277
2	5002	1277

prune364.0ms

Filtered

136 candidates to 103 candidates (75.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	136	8	144

Merged error: 0.3b

Counts

144 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (- (* t z) x) y))
3.0b	(fma (/ 1 (/ (- (* t z) x) y)) z x)
3.1b	(/ (- (* t z) x) y)
4.0b	(/ x (- (* t z) x))

rewrite32.0ms

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

series222.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1 (/ (- (* t z) x) y))
47.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)
59.0ms	(/ (- (* t z) x) y)
62.0ms	(/ x (- (* t z) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (64.0ms)

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

prune344.0ms

Filtered

163 candidates to 103 candidates (63.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0.3b

Counts

171 → 8

regimes222.0ms

Accuracy

66.8% (1.5b remaining)

Error of 1.9b against oracle of 0.4b and baseline of 4.9b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	40
1	41	40

end0.0ms

sample626.0ms

Algorithm

intervals

Results

405.0ms

8329×

body

valid