Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample41.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	134×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4994	21
1	4994	21

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`diff-log` `associate-r`
4×	`sub-neg`
3×	`sum-log` `distribute-lft-out--`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
13.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)

series81.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
45.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	2749
1	4972	2749

prune205.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
0.5b	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
0.5b	(* (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))) (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*l/`
68×	`frac-add`
51×	`flip3-+` `flip-+`
36×	`frac-times`
34×	`flip3--` `flip--`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `associate-r/` `swap-sqr` `associate-r` `associate-l*`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

15.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
14.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
14.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
34.0ms	(* (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))) (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))))

series4.8s

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
379.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
378.0ms	(cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
3.7s	(* (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))) (cbrt (+ (* (+ y (- t 2.0)) b) (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))))

simplify91.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5054	11364

prune762.0ms

Filtered

114 candidates to 151 candidates (-32.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	151	5	156

Merged error: 0b

Counts

156 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (+ y t) (+ y t))
5.7b	(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
12.6b	(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
12×	`associate-l` `distribute-lft-out`
11×	`associate-r`
7×	`flip3-+` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `swap-sqr`
5×	`times-frac` `associate-/r*`
4×	`frac-times` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 118

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
8.0ms	(* (+ y t) (+ y t))
12.0ms	(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
19.0ms	(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
3.0ms	(* (+ y t) (+ y t))
21.0ms	(* b (- (* (+ y t) (+ y t)) (* 2.0 2.0)))
27.0ms	(/ (* b (- (* (+ y t) (+ y t)) (* 2.0 2.0))) (+ (+ y t) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	1321
1	4940	1321

prune186.0ms

Filtered

82 candidates to 130 candidates (-58.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ y t) 2)
0.2b	(/ b (sqrt (+ y (+ t 2.0))))
4.3b	(/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0))))
4.6b	(* (/ b (sqrt (+ y (+ t 2.0)))) (/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

198×	`*-un-lft-identity`
172×	`times-frac`
150×	`add-sqr-sqrt`
116×	`sqrt-prod`
86×	`add-cube-cbrt`
68×	`difference-of-squares`
67×	`distribute-lft-out`
62×	`associate-r`
30×	`associate-l`
21×	`add-exp-log` `unpow-prod-down`
20×	`add-cbrt-cube`
18×	`unpow2` `sqr-pow`
16×	`associate-/r*`
10×	`associate-/l*`
9×	`unswap-sqr`
8×	`sqrt-div` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
3×	`pow-unpow`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `pow-to-exp` `flip3--` `pow-pow` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `*-commutative` `flip--`

Counts

4 → 277

Calls

4 calls:

4.0ms	(pow (+ y t) 2)
8.0ms	(/ b (sqrt (+ y (+ t 2.0))))
15.0ms	(/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0))))
53.0ms	(* (/ b (sqrt (+ y (+ t 2.0)))) (/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0)))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (+ y t) 2)
15.0ms	(/ b (sqrt (+ y (+ t 2.0))))
17.0ms	(/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0))))
31.0ms	(* (/ b (sqrt (+ y (+ t 2.0)))) (/ (- (pow (+ y t) 2) (* 2.0 2.0)) (sqrt (+ y (+ t 2.0)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5655	5865

prune551.0ms

Filtered

159 candidates to 289 candidates (-81.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	289	5	294

Merged error: 0b

Counts

294 → 5

regimes582.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	437	21
1	437	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

458.0ms	7993×	body	80	valid
258.0ms	4511×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze1.4s

sample41.0ms

simplify51.0ms

prune10.0ms

localize14.0ms

rewrite39.0ms

series81.0ms

simplify56.0ms

prune205.0ms

localize21.0ms

rewrite90.0ms

series4.8s

simplify91.0ms

prune762.0ms

localize18.0ms

rewrite49.0ms

series56.0ms

simplify50.0ms

prune186.0ms

localize25.0ms

rewrite94.0ms

series67.0ms

simplify72.0ms

prune551.0ms

regimes582.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample1.2s

Profiling