Details

sample45.0ms

Algorithm

intervals

Results

19.0ms	284×	body	80	valid
10.0ms	261×	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)))

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:

16.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ (- 1.0 z) (log z))
57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

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

prune149.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

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))

series189.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
92.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	368	448
1	1478	396
2	5002	380

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y)))
0.1b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
0.2b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.2b	(* (log (sqrt z)) y)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

43.0ms	(+ (* x 0.5) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y)))
16.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
45.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
4.0ms	(* (log (sqrt z)) y)

series434.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (* x 0.5) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y)))
121.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
90.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
119.0ms	(* (log (sqrt z)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	458	757
1	2065	695
2	5002	689

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b	(* (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)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series621.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
117.0ms	(* (log (cbrt z)) y)
177.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify32.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (27.0ms)

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

prune251.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

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	20	11
1	20	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

545.0ms	9179×	body	80	valid
362.0ms	9111×	body	80	nan