Details

sample78.0ms

Algorithm

intervals

Results

25.0ms	823×	body	80	nan
12.0ms	260×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 118

Calls

3 calls:

176.0ms	(+ (- (- (* x (log y)) y) z) (log t))
57.0ms	(- (- (* x (log y)) y) z)
9.0ms	(* x (log y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
31.0ms	(- (- (* x (log y)) y) z)
39.0ms	(* x (log y))

simplify51.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	441	838
1	1666	648
2	5001	611

prune333.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite16.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series777.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt y) (cbrt y))
218.0ms	(cbrt y)
176.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

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

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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 (/ 1 y) -1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series741.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
177.0ms	(cbrt y)
180.0ms	(cbrt y)
178.0ms	(pow (/ 1 y) -1/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	282	424
1	1223	383
2	5002	342

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
4.0b	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
5.3b	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

43×	`unpow-prod-down`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
22×	`cbrt-prod`
18×	`times-frac`
17×	`add-exp-log`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-pow` `div-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-flip` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 128

Calls

4 calls:

1.0ms	(cbrt y)
11.0ms	(* (cbrt -1/3) (cbrt -1/3))
11.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
14.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series907.0ms

Counts

4 → 10

Calls

4 calls:

185.0ms	(cbrt y)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
253.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
469.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify59.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	436	980
1	1656	901
2	5001	775

prune498.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes251.0ms

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	12	6
1	12	6

end0.0ms

sample2.2s

Algorithm

intervals

Results

764.0ms	24362×	body	80	nan
314.0ms	8029×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid