Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
11.0ms	291×	body	80	nan

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`pow1` `fma-neg` `prod-diff`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`diff-log` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

99.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	268	391
1	1227	340
2	5002	323

prune193.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 46

Calls

2 calls:

6.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series172.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(- 1 (log t))
48.0ms	(fma z (- 1 (log t)) (+ x y))

simplify115.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	209	361
1	731	229
2	3621	181
3	5001	180

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log (sqrt t)))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`log-prod`
28×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate--r+`
15×	`pow1` `sqrt-prod`
13×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-l`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

6.0ms	(- 1 (log (sqrt t)))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
4.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
5.0ms	(* z (log (sqrt t)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- 1 (log (sqrt t)))
103.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
152.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
91.0ms	(* z (log (sqrt t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	519	1196
1	1911	958
2	5003	944

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
13.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series554.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (log (cbrt t)))
102.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
182.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify57.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	385	753
1	1637	640
2	5002	570

prune566.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

424.0ms	9149×	body	80	valid
337.0ms	8989×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid