Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	292×	body	80	valid
18.0ms	266×	body	80	nan

simplify51.0ms

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

localize15.0ms

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))

rewrite101.0ms

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))))
94.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series221.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
47.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (40.0ms)

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

prune239.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series192.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
46.0ms	(fma z (- 1 (log t)) (+ x y))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	117	177
1	320	152
2	1600	152
3	5001	151

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)

rewrite27.0ms

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)))
17.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series600.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* z (log (cbrt t)))
101.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
194.0ms	(cbrt t)
201.0ms	(cbrt t)

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (45.0ms)

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

prune580.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (log (pow t 1/3)) 2 (log (sqrt (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `fma-udef` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

0.0ms	(fma (log (pow t 1/3)) 2 (log (sqrt (cbrt t))))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

589.0ms	(fma (log (pow t 1/3)) 2 (log (sqrt (cbrt t))))
189.0ms	(cbrt t)
183.0ms	(cbrt t)
171.0ms	(pow t 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	162	248
1	465	213
2	1803	197
3	5002	189

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.1b 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

sample2.1s

Algorithm

intervals

Results

802.0ms	9157×	body	80	valid
649.0ms	8989×	body	80	nan
0.0ms	1×	body	1280	valid