Details

analyze1.1s

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
0%	99.8%	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
26.2%	73.5%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	5590	11

prune4.0ms

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: 1.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- a t))
18.0ms	(* y (/ (- z t) (- a t)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5024	1163

prune133.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
4.5b	(cbrt (/ (- z t) (- a t)))
4.5b	(cbrt (/ (- z t) (- a t)))
4.5b	(cbrt (/ (- z t) (- a t)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

38.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
58.0ms	(cbrt (/ (- z t) (- a t)))
57.0ms	(cbrt (/ (- z t) (- a t)))
62.0ms	(cbrt (/ (- z t) (- a t)))

simplify117.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5428	5460

prune249.0ms

Filtered

176 candidates to 288 candidates (-63.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	288	9	297

Merged error: 0b

Counts

297 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
1.5b	(* (/ (- z t) (- a t)) (cbrt y))

rewrite35.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
14.0ms	(* (/ (- z t) (- a t)) (cbrt y))

series101.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
39.0ms	(* (/ (- z t) (- a t)) (cbrt y))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5430	1040

prune110.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	117	8	125

Merged error: 0b

Counts

125 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- a t))))
5.5b	(* (- z t) (/ (cbrt y) (- a t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`associate-r`
32×	`times-frac`
30×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
18×	`pow1`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`frac-times` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 115

Calls

4 calls:

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

series110.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- a t))))
48.0ms	(* (- z t) (/ (cbrt y) (- a t)))

simplify27.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5163	1201

prune105.0ms

Filtered

87 candidates to 127 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes569.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms

sample604.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
29.0ms	720×	body	80	invalid

Details

analyze1.1s

sample22.0ms

simplify183.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series25.0ms

simplify46.0ms

prune133.0ms

localize21.0ms

rewrite78.0ms

series257.0ms

simplify117.0ms

prune249.0ms

localize12.0ms

rewrite35.0ms

series101.0ms

simplify47.0ms

prune110.0ms

localize12.0ms

rewrite38.0ms

series110.0ms

simplify27.0ms

prune105.0ms

regimes569.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample604.0ms

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