Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	284×	body	80	valid
10.0ms	295×	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

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

localize10.0ms

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)))

rewrite29.0ms

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:

6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
11.0ms	(+ (- 1.0 z) (log z))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
169.0ms	(+ (- 1.0 z) (log z))
72.0ms	(* y (+ (- 1.0 z) (log z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

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

prune155.0ms

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: 0b

Counts

71 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series430.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(- (+ (log z) 1.0) z)
58.0ms	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
125.0ms	(+ (log z) 1.0)
76.0ms	(* y (- (+ (log z) 1.0) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	387	525
1	1391	476
2	5001	476

prune157.0ms

Filtered

93 candidates to 61 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0b

Counts

98 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

13.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
97.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* 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	5001	472

prune174.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

18.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
6.0ms	(cbrt (+ (- 1.0 z) (log z)))
6.0ms	(cbrt (+ (- 1.0 z) (log z)))
7.0ms	(cbrt (+ (- 1.0 z) (log z)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
53.0ms	(cbrt (+ (- 1.0 z) (log z)))
58.0ms	(cbrt (+ (- 1.0 z) (log z)))
54.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	609	1962
1	2360	1884
2	5001	1654

prune327.0ms

Filtered

143 candidates to 75 candidates (52.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	143	5	148

Merged error: 0b

Counts

148 → 5

regimes147.0ms

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	15	6
1	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

407.0ms	9213×	body	80	valid
320.0ms	9113×	body	80	nan

Details

sample40.0ms

simplify62.0ms

prune2.0ms

localize10.0ms

rewrite29.0ms

series299.0ms

simplify51.0ms

prune155.0ms

localize9.0ms

rewrite28.0ms

series430.0ms

simplify45.0ms

prune157.0ms

localize11.0ms

rewrite33.0ms

series233.0ms

simplify63.0ms

prune174.0ms

localize13.0ms

rewrite48.0ms

series233.0ms

simplify77.0ms

prune327.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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