Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	301×	body	80	valid
8.0ms	302×	body	80	nan

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

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	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

28.0ms	(+ (- 1.0 z) (log z))
20.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
82.0ms	(* y (+ (- 1.0 z) (log z)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(+ (- 1.0 z) (log z))
66.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite618.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

168.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
446.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series909.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
180.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
192.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (- 1.0 z) (* 2/3 (log z))))
0.3b	(* (log (pow z 1/3)) y)
0.4b	(* 2/3 (log z))
4.8b	(pow z 1/3)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log`
10×	`associate-r` `associate-l` `add-cbrt-cube`
6×	`log-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*r/` `log-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

74.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
8.0ms	(* (log (pow z 1/3)) y)
8.0ms	(* 2/3 (log z))
3.0ms	(pow z 1/3)

series539.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
107.0ms	(* (log (pow z 1/3)) y)
153.0ms	(* 2/3 (log z))
181.0ms	(pow z 1/3)

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	390	456
1	1855	390
2	5001	375

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log z) 4/9) (* 2/9 (log z)))
0.4b	(* (log z) 4/9)
0.4b	(* 2/9 (log z))
4.8b	(pow z 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `sum-log` `flip-+` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ (* (log z) 4/9) (* 2/9 (log z)))
8.0ms	(* (log z) 4/9)
8.0ms	(* 2/9 (log z))
3.0ms	(pow z 1/3)

series614.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (* (log z) 4/9) (* 2/9 (log z)))
147.0ms	(* (log z) 4/9)
146.0ms	(* 2/9 (log z))
176.0ms	(pow z 1/3)

simplify178.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	293	383
1	1111	333
2	4775	282
3	5001	282

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes111.0ms

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	11
1	21	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

316.0ms	9145×	body	80	valid
245.0ms	9147×	body	80	nan