Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	746×	body	80	nan
10.0ms	256×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`associate-+l+`
21×	`add-cube-cbrt` `log-prod`
15×	`prod-diff`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `fma-def` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`expm1-log1p-u` `sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

4.0ms	(- (* x (log y)) y)
74.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x (log y)) y)
48.0ms	(+ (- (- (* x (log y)) y) z) (log t))
37.0ms	(* x (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	429	636
1	1567	511
2	5002	472

prune448.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

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:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series714.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
172.0ms	(cbrt y)
171.0ms	(cbrt y)

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

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series722.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
174.0ms	(cbrt y)
173.0ms	(pow y 1/3)

simplify148.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	179	308
1	790	229
2	4954	214
3	5001	214

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `log-prod`
26×	`add-cube-cbrt` `distribute-lft-out`
23×	`associate-+l+` `associate--l+`
20×	`pow1`
19×	`add-log-exp`
15×	`prod-diff`
14×	`log-pow`
12×	`associate-+r+` `fma-def`
10×	`sum-log`
9×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--`
7×	`diff-log`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-+l-` `sub-neg` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`flip3--` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

4.0ms	(- (* x (log y)) y)
310.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
75.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
4.0ms	(* x (log y))

series202.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* x (log y)) y)
52.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
54.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
37.0ms	(* x (log y))

simplify61.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	556	1115
1	2115	947
2	5001	893

prune442.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes200.0ms

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	21	13
1	21	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

790.0ms	24183×	body	80	nan
323.0ms	8035×	body	80	valid