Details

analyze993.0ms

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
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%	73.6%	0.2%	14

sample30.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (195.0ms)

Iter	Nodes	Cost
0	5600	11

prune14.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.0b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

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

series55.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
19.0ms	(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune139.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
1.0b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

28.0ms	(- (/ z (- a t)) (/ t (- a t)))
5.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
30.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (/ z (- a t)) (/ t (- a t)))
7.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
23.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4913	1627
1	4913	1627

prune153.0ms

Filtered

111 candidates to 153 candidates (-37.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	153	6	159

Merged error: 0b

Counts

159 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
10.0b	(* (/ y (- a t)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

4.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
11.0ms	(* (/ y (- a t)) (- z t))

series67.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (* (/ y (- a t)) (- z t)))
7.0ms	(/ y (- a t))
25.0ms	(* (/ y (- a t)) (- z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	1109
1	4969	1109

prune109.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0b

Counts

113 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(pow (/ (- z t) (- a t)) 3)
1.0b	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
18.0b	(cbrt (pow (/ (- z t) (- a t)) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
177×	`times-frac`
142×	`cbrt-prod`
95×	`unpow-prod-down` `cube-prod`
87×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
71×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3--` `flip--`
7×	`pow1` `div-inv` `unswap-sqr`
5×	`associate-/r` `associate-/l`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 305

Calls

4 calls:

8.0ms	(/ (- z t) (- a t))
10.0ms	(pow (/ (- z t) (- a t)) 3)
25.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
12.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (- z t) (- a t))
25.0ms	(pow (/ (- z t) (- a t)) 3)
16.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
9.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5181	4023

prune218.0ms

Filtered

141 candidates to 317 candidates (-124.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	317	6	323

Merged error: 0b

Counts

323 → 6

regimes550.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample620.0ms

Algorithm

intervals

Results

311.0ms	7996×	body	80	valid
28.0ms	776×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze993.0ms

sample30.0ms

simplify197.0ms

prune14.0ms

localize9.0ms

rewrite29.0ms

series55.0ms

simplify41.0ms

prune139.0ms

localize10.0ms

rewrite74.0ms

series52.0ms

simplify68.0ms

prune153.0ms

localize11.0ms

rewrite23.0ms

series67.0ms

simplify53.0ms

prune109.0ms

localize12.0ms

rewrite75.0ms

series64.0ms

simplify73.0ms

prune218.0ms

regimes550.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample620.0ms

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