Details

sample67.0ms

Algorithm

intervals

Results

17.0ms	303×	body	80	valid
14.0ms	294×	body	80	nan

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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 (- (log z) z))))
0.0b	(+ 1.0 (- (log z) z))
0.2b	(* y (+ 1.0 (- (log z) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

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

series46.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
15.0ms	(+ 1.0 (- (log z) z))
14.0ms	(* y (+ 1.0 (- (log z) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5125	688

prune95.0ms

Filtered

44 candidates to 68 candidates (-54.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0b

Counts

69 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

10.0ms	(+ (+ 1.0 (* 2 (log (cbrt z)))) (- (log (cbrt z)) z))
11.0ms	(* y (+ (+ 1.0 (* 2 (log (cbrt z)))) (- (log (cbrt z)) z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series131.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ 1.0 (* 2 (log (cbrt z)))) (- (log (cbrt z)) z))
38.0ms	(* y (+ (+ 1.0 (* 2 (log (cbrt z)))) (- (log (cbrt z)) z)))
22.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5031	1113

prune121.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (+ 1.0 (* (log (cbrt z)) 2))) (* y (- (log (cbrt z)) z)))
0.3b	(* y (+ 1.0 (* (log (cbrt z)) 2)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

9.0ms	(+ (* y (+ 1.0 (* (log (cbrt z)) 2))) (* y (- (log (cbrt z)) z)))
5.0ms	(* y (+ 1.0 (* (log (cbrt z)) 2)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series105.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* y (+ 1.0 (* (log (cbrt z)) 2))) (* y (- (log (cbrt z)) z)))
24.0ms	(* y (+ 1.0 (* (log (cbrt z)) 2)))
24.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify67.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	1080
1	4976	1080

prune118.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z))))
0.3b	(* (- (log z) z) (- z (log z)))
5.1b	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
6.1b	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-r` `associate-l`
7×	`flip3--` `times-frac` `associate-/r*` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`frac-times` `log-pow` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+ (* x 0.5) (/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z))))
10.0ms	(* (- (log z) z) (- z (log z)))
6.0ms	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
13.0ms	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* x 0.5) (/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z))))
7.0ms	(* (- (log z) z) (- z (log z)))
28.0ms	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
71.0ms	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5197	2899

prune179.0ms

Filtered

83 candidates to 114 candidates (-37.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	114	6	120

Merged error: 0b

Counts

120 → 6

regimes229.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

402.0ms	9197×	body	80	valid
321.0ms	9165×	body	80	nan

Details

sample67.0ms

simplify118.0ms

prune8.0ms

localize10.0ms

rewrite21.0ms

series46.0ms

simplify51.0ms

prune95.0ms

localize16.0ms

rewrite27.0ms

series131.0ms

simplify67.0ms

prune121.0ms

localize14.0ms

rewrite19.0ms

series105.0ms

simplify67.0ms

prune118.0ms

localize17.0ms

rewrite44.0ms

series203.0ms

simplify49.0ms

prune179.0ms

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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