Details

analyze617.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	61×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune10.0ms

Filtered

1 candidates to 1 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 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z x) t)
0.0b	(+ x (* y (/ (- z x) t)))
5.4b	(* y (/ (- z x) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

5.0ms	(/ (- z x) t)
3.0ms	(+ x (* y (/ (- z x) t)))
9.0ms	(* y (/ (- z x) t))

series28.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- z x) t)
10.0ms	(+ x (* y (/ (- z x) t)))
12.0ms	(* y (/ (- z x) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5894	889

prune106.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
4×	`cbrt-div` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--`
1×	`associate-r` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
24.0ms	(cbrt t)
21.0ms	(cbrt t)
49.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4918	623
1	4918	623

prune90.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	71	10	81

Merged error: 0b

Counts

81 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
3.8b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
3.8b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
3.8b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-div`
24×	`associate-*r/`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 69

Calls

4 calls:

15.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
15.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
13.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
13.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
66.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
66.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
64.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5099	1729

prune147.0ms

Filtered

69 candidates to 81 candidates (-17.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0b

Counts

91 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
5.3b	(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`cbrt-prod` `cbrt-div`
28×	`associate-r`
25×	`add-exp-log`
24×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 114

Calls

4 calls:

3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
24.0ms	(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

series93.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (- z x))
26.0ms	(cbrt (- z x))
26.0ms	(cbrt (- z x))
12.0ms	(* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (/ (cbrt (- z x)) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5086	1534

prune110.0ms

Filtered

81 candidates to 126 candidates (-55.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	5	6
Picked	0	1	1
Done	1	2	3
Total	127	9	136

Merged error: 0b

Counts

136 → 9

regimes299.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	27
1	28	27

end0.0ms

sample571.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
68.0ms	2107×	body	80	invalid

Details

analyze617.0ms

sample21.0ms

simplify33.0ms

prune10.0ms

localize10.0ms

rewrite21.0ms

series28.0ms

simplify49.0ms

prune106.0ms

localize14.0ms

rewrite22.0ms

series116.0ms

simplify46.0ms

prune90.0ms

localize21.0ms

rewrite59.0ms

series246.0ms

simplify45.0ms

prune147.0ms

localize11.0ms

rewrite39.0ms

series93.0ms

simplify72.0ms

prune110.0ms

regimes299.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample571.0ms

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