Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	285×	body	80	valid
8.0ms	290×	body	80	nan

simplify62.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite67.0ms

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:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
173.0ms	(+ (- 1.0 z) (log z))
81.0ms	(* 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	5001	370

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* y (- 1.0 z))
11.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series236.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* y (- 1.0 z))
58.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
102.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	538
1	1993	482
2	5002	472

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-l`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

19.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series643.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
120.0ms	(* (log (cbrt z)) y)
185.0ms	(cbrt z)
190.0ms	(cbrt z)

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	239	407
1	921	356
2	5002	341

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1/3 (* (log z) y)))
0.3b	(* (log z) y)
0.4b	(* 1/3 (* (log z) y))
0.6b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1/3 (* (log z) y)))
3.0ms	(* (log z) y)
6.0ms	(* 1/3 (* (log z) y))
1.0ms	(cbrt z)

series550.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1/3 (* (log z) y)))
67.0ms	(* (log z) y)
73.0ms	(* 1/3 (* (log z) y))
184.0ms	(cbrt z)

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	346	447
1	1278	392
2	5001	367

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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	12
1	26	12

end0.0ms

sample944.0ms

Algorithm

intervals

Results

323.0ms	9205×	body	80	valid
242.0ms	9071×	body	80	nan