Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	294×	body	80	valid
8.0ms	310×	body	80	nan

simplify65.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize11.0ms

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)))

rewrite23.0ms

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:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
157.0ms	(+ (- 1.0 z) (log z))
73.0ms	(* y (+ (- 1.0 z) (log z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

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

prune142.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize15.0ms

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))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite29.0ms

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:

6.0ms	(* y (- 1.0 z))
8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series223.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* y (- 1.0 z))
61.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
93.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
36.0ms	(* y (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (55.0ms)

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

prune193.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 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)

rewrite29.0ms

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:

12.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series884.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
177.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
178.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (39.0ms)

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

prune234.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series746.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt z) (cbrt z))
177.0ms	(cbrt z)
180.0ms	(cbrt z)
186.0ms	(cbrt z)

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune244.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

regimes106.0ms

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	17	7
1	17	7

end0.0ms

sample986.0ms

Algorithm

intervals

Results

332.0ms	9138×	body	80	valid
261.0ms	9093×	body	80	nan