Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	307×	body	80	valid
12.0ms	320×	body	80	nan

simplify52.0ms

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

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`log-prod` `add-log-exp`
8×	`pow1` `associate-l`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `diff-log` `sum-log` `log1p-expm1-u`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `associate--l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (- a 0.5) b)
10.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series102.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	371	485
1	1619	424
2	5002	407

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.3b	(* z (log (sqrt t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `log-prod`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`pow1`
9×	`associate-r`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `log-pow`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
8.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
6.0ms	(* z (log (sqrt t)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- a 0.5) b)
138.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
95.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
258.0ms	(* z (log (sqrt t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	433	831
1	1565	768
2	5001	742

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(cbrt t)

series733.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt t) (cbrt t))
183.0ms	(cbrt t)
191.0ms	(cbrt t)
166.0ms	(cbrt t)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune401.0ms

Pruning

6 alts after pruning (4 fresh and 2 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)

rewrite22.0ms

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

series548.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (log (cbrt t)))
97.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
175.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

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

prune527.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes430.0ms

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	24	12
1	24	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

450.0ms	9186×	body	80	valid
375.0ms	9194×	body	80	nan
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid