Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 7.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

4.0ms	(- (* y z) x)
5.0ms	(- (* t z) x)
20.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms	(/ (- (* y z) x) (- (* t z) x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
26.0ms	(- (* t z) x)
133.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
61.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify78.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	462	1042
1	2015	941
2	5001	941

prune367.0ms

Filtered

125 candidates to 90 candidates (72.0%)

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: 0.0b

Counts

126 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.2b	(/ y (- (* t z) x))
2.4b	(/ x (- (* t z) x))
4.0b	(fma (/ y (- (* t z) x)) z x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`div-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `associate-*l/` `prod-exp` `flip--`
1×	`flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 98

Calls

4 calls:

7.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
6.0ms	(/ y (- (* t z) x))
10.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)

series270.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
33.0ms	(/ y (- (* t z) x))
76.0ms	(/ x (- (* t z) x))
64.0ms	(fma (/ y (- (* t z) x)) z x)

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	423	735
1	1590	652
2	5002	650

prune387.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Merged error: 0b

Counts

117 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (/ (- (* t z) x) y))
2.2b	(/ (- (* t z) x) y)
2.4b	(/ x (- (* t z) x))
4.0b	(fma (/ 1 (/ (- (* t z) x) y)) z x)

rewrite27.0ms

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

series225.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (/ (- (* t z) x) y))
60.0ms	(/ (- (* t z) x) y)
62.0ms	(/ x (- (* t z) x))
53.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)

simplify83.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (64.0ms)

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

prune492.0ms

Filtered

163 candidates to 104 candidates (63.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	164	6	170

Merged error: 0b

Counts

170 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
2.4b	(/ x (- (* t z) x))
3.0b	(* (/ z (- (* t z) x)) y)
7.4b	(/ z (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*`
6×	`pow1` `div-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r` `associate-*l/` `clear-num` `flip--` `cbrt-unprod`
2×	`flip3-+` `flip-+` `associate-/l/` `unswap-sqr`
1×	`1-exp` `pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

15.0ms	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
6.0ms	(/ x (- (* t z) x))
10.0ms	(* (/ z (- (* t z) x)) y)
6.0ms	(/ z (- (* t z) x))

series270.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
67.0ms	(/ x (- (* t z) x))
67.0ms	(* (/ z (- (* t z) x)) y)
34.0ms	(/ z (- (* t z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	561	927
1	2380	825
2	5001	825

prune476.0ms

Filtered

138 candidates to 108 candidates (78.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	138	6	144

Merged error: 0b

Counts

144 → 6

regimes125.0ms

Accuracy

0% (1.8b remaining)

Error of 2.0b against oracle of 0.2b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	14
1	26	14
2	26	14

end0.0ms

sample559.0ms

Algorithm

intervals

Results

336.0ms

8331×

body

valid