Details

sample64.0ms

Algorithm

intervals

Results

13.0ms	309×	body	80	valid
13.0ms	367×	body	80	nan

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
192.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series201.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
41.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

11.0ms	(- 1 (log t))
0.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series313.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- 1 (log t))
140.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
50.0ms	(fma z (- 1 (log t)) (+ x y))

simplify165.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	261	516
1	873	360
2	4678	307
3	5001	307

prune211.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

10.0ms	(* z (log (cbrt t)))
29.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series552.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* z (log (cbrt t)))
109.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
179.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

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

prune572.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma z (* 2 (log (cbrt t))) (* z (log (cbrt t))))
10.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series621.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(fma z (* 2 (log (cbrt t))) (* z (log (cbrt t))))
86.0ms	(* z (log (cbrt t)))
184.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify90.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	169	411
1	613	366
2	2580	343
3	5002	333

prune345.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes232.0ms

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	24	11
1	24	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

417.0ms	9222×	body	80	valid
334.0ms	9050×	body	80	nan
0.0ms	2×	body	320	valid