Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	284×	body	80	valid
7.0ms	254×	body	80	nan

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite62.0ms

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:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms	(+ (- 1.0 z) (log z))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
165.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune151.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite278.0ms

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:

75.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
200.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series883.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
179.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
177.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

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

prune277.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))

rewrite36.0ms

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)))
7.0ms	(* y (log z))

series230.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- 1.0 z))
64.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* y (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

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

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

18.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
3.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series618.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
118.0ms	(* (log (cbrt z)) y)
182.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (28.0ms)

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

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes109.0ms

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	22	12
1	22	12

end0.0ms

sample980.0ms

Algorithm

intervals

Results

336.0ms	9218×	body	80	valid
256.0ms	9138×	body	80	nan