Details

sample104.0ms

Algorithm

intervals

Results

44.0ms	719×	body	80	nan
22.0ms	255×	body	80	valid
1.0ms	1×	body	640	valid

simplify34.0ms

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

prune6.0ms

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))

rewrite89.0ms

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)
78.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x (log y)) y)
45.0ms	(+ (- (- (* x (log y)) y) z) (log t))
37.0ms	(* x (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (38.0ms)

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

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 182

Calls

4 calls:

22.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
356.0ms	(+ (- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y) z) (log t))
8.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
74.0ms	(+ (- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y) z) (log t))
87.0ms	(* x (log (sqrt y)))
89.0ms	(* x (log (sqrt y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	531	1723
1	2019	1219
2	5001	1159

prune537.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 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)

series770.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
187.0ms	(cbrt y)
190.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune365.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (* (cbrt 1) (pow y 2/3))))
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `log-pow`
2×	`log-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
10.0ms	(* x (log (* (cbrt 1) (pow y 2/3))))
0.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series579.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (log (cbrt y)) x)
92.0ms	(* x (log (* (cbrt 1) (pow y 2/3))))
185.0ms	(cbrt y)
178.0ms	(pow y 2/3)

simplify128.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	256	382
1	1013	331
2	4445	310
3	5001	310

prune380.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes175.0ms

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	26	13
1	26	13

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	24148×	body	80	nan
536.0ms	8028×	body	80	valid
1.0ms	2×	body	1280	valid