Details

sample184.0ms

Algorithm

intervals

Results

77.0ms	1390×	body	80	nan
24.0ms	400×	body	80	valid
4.0ms	12×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	1×	body	1280	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	10
5	5001	10

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: 2.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
6.3b	(log (- 1.0 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`prod-diff`
43×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in`
25×	`pow1`
21×	`log-prod`
16×	`associate-r` `associate--l+`
15×	`log-pow`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`distribute-lft-out--`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`log-div`
1×	`rem-log-exp` `exp-sum`

Counts

4 → 161

Calls

4 calls:

10.0ms	(* a (- (log (- 1.0 z)) b))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
8.0ms	(* y (- (log z) t))
4.0ms	(log (- 1.0 z))

series337.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* a (- (log (- 1.0 z)) b))
154.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
65.0ms	(* y (- (log z) t))
46.0ms	(log (- 1.0 z))

simplify78.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	737	1642
1	2884	1194
2	5001	1183

prune426.0ms

Filtered

173 candidates to 89 candidates (51.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	3	174

Merged error: 0.0b

Counts

174 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
0.0b	(* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
0.1b	(* y (- (log z) t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`prod-diff`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
34×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
26×	`pow1`
18×	`log-pow`
15×	`log-prod` `associate--l+`
10×	`associate-r`
8×	`add-cbrt-cube`
7×	`add-exp-log` `add-log-exp`
6×	`associate-l`
5×	`sub-neg`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out--`
2×	`flip3--` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `diff-log` `exp-sum` `sum-log` `flip-+` `fma-udef`

Counts

4 → 165

Calls

4 calls:

5.0ms	(- (log z) t)
10.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
10.0ms	(* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
8.0ms	(* y (- (log z) t))

series638.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(- (log z) t)
149.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
165.0ms	(* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))))
70.0ms	(* y (- (log z) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	515	1773
1	2060	1318
2	5001	1306

prune571.0ms

Filtered

177 candidates to 105 candidates (59.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	178	2	180

Merged error: 0.0b

Counts

180 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
52×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
22×	`pow1` `distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`log-pow`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

11.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
3.0ms	(cbrt (- (log z) t))
3.0ms	(cbrt (- (log z) t))
3.0ms	(cbrt (- (log z) t))

series314.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
77.0ms	(cbrt (- (log z) t))
79.0ms	(cbrt (- (log z) t))
74.0ms	(cbrt (- (log z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	460	1325
1	1737	1254
2	5002	1145

prune595.0ms

Filtered

131 candidates to 89 candidates (67.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Merged error: 0.0b

Counts

133 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.3b	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
0.3b	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt` `prod-diff`
46×	`*-un-lft-identity`
40×	`add-cube-cbrt`
34×	`distribute-rgt-in` `distribute-lft-in`
28×	`pow1`
14×	`log-pow`
12×	`log-prod` `associate-r` `associate--l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `sqrt-pow1` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`flip3--` `pow1/2` `prod-exp` `sqrt-prod` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

9.0ms	(* y (- (log z) t))
8.0ms	(* y (- (log z) t))
8.0ms	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
8.0ms	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* y (- (log z) t))
71.0ms	(* y (- (log z) t))
340.0ms	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))
341.0ms	(sqrt (* x (exp (+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	412	1596
1	1518	1160
2	5001	1100

prune517.0ms

Filtered

156 candidates to 78 candidates (50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Merged error: 0.0b

Counts

158 → 2

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	21
1	28	21

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	41475×	body	80	nan
774.0ms	12590×	body	80	valid
127.0ms	371×	body	640	valid
89.0ms	405×	body	320	valid
50.0ms	67×	body	1280	valid
37.0ms	283×	body	160	valid