Details

analyze890.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune17.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune123.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.2b	(* (- z t) (/ 1 (- z a)))
1.4b	(* y (* (- z t) (/ 1 (- z a))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-exp-log`
23×	`*-un-lft-identity`
22×	`associate-r`
17×	`times-frac` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1`
8×	`associate-r/` `associate-l*`
7×	`cbrt-unprod`
5×	`flip3--` `flip--` `add-log-exp`
4×	`frac-times` `div-exp` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `un-div-inv` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

3 → 89

Calls

3 calls:

4.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
15.0ms	(* (- z t) (/ 1 (- z a)))
13.0ms	(* y (* (- z t) (/ 1 (- z a))))

series50.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
9.0ms	(* (- z t) (/ 1 (- z a)))
16.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify36.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5151	952

prune90.0ms

Filtered

62 candidates to 98 candidates (-58.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(* y (/ (- z t) (- z a)))
6.9b	(cbrt (* y (/ (- z t) (- z a))))
6.9b	(cbrt (* y (/ (- z t) (- z a))))
6.9b	(cbrt (* y (/ (- z t) (- z a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* y (/ (- z t) (- z a)))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* y (/ (- z t) (- z a)))
39.0ms	(cbrt (* y (/ (- z t) (- z a))))
41.0ms	(cbrt (* y (/ (- z t) (- z a))))
39.0ms	(cbrt (* y (/ (- z t) (- z a))))

simplify78.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4914	878
1	4914	878

prune96.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (/ (- z t) (- z a)) (cbrt y))
1.1b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

3.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* (/ (- z t) (- z a)) (cbrt y))
15.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
21.0ms	(cbrt y)
39.0ms	(* (/ (- z t) (- z a)) (cbrt y))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5469	1040

prune81.0ms

Filtered

71 candidates to 116 candidates (-63.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	116	6	122

Merged error: 0b

Counts

122 → 6

regimes505.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample626.0ms

Algorithm

intervals

Results

328.0ms	7999×	body	80	valid
27.0ms	708×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze890.0ms

sample22.0ms

simplify89.0ms

prune17.0ms

localize8.0ms

rewrite28.0ms

series54.0ms

simplify44.0ms

prune123.0ms

localize9.0ms

rewrite35.0ms

series50.0ms

simplify36.0ms

prune90.0ms

localize12.0ms

rewrite42.0ms

series135.0ms

simplify78.0ms

prune96.0ms

localize12.0ms

rewrite36.0ms

series104.0ms

simplify49.0ms

prune81.0ms

regimes505.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample626.0ms

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