Details

sample46.0ms

Algorithm

intervals

Results

25.0ms

434×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Filtered

1 candidates to 0 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 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (- y 1.0) z))
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)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(- x (* (- y 1.0) z))
12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) a)
9.0ms	(* (- (+ y t) 2.0) b)

series389.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- x (* (- y 1.0) z))
298.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
34.0ms	(* (- t 1.0) a)
26.0ms	(* (- (+ y t) 2.0) b)

simplify103.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	832	1265
1	4307	1216
2	5001	1216

prune301.0ms

Filtered

99 candidates to 70 candidates (70.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

13.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))

series402.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
94.0ms	(cbrt (- t 1.0))
93.0ms	(cbrt (- t 1.0))
94.0ms	(cbrt (- t 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5002	736

prune392.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

26.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
103.0ms	(cbrt (- (+ y t) 2.0))
107.0ms	(cbrt (- (+ y t) 2.0))
104.0ms	(cbrt (- (+ y t) 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	478	1498
1	1296	1311
2	5001	1243

prune348.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.1b	(sqrt (* (- (+ y t) 2.0) b))
0.1b	(sqrt (* (- (+ y t) 2.0) b))
0.3b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
15×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `associate-l` `pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

9.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(sqrt (* (- (+ y t) 2.0) b))
8.0ms	(sqrt (* (- (+ y t) 2.0) b))
23.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- (+ y t) 2.0) b)
79.0ms	(sqrt (* (- (+ y t) 2.0) b))
80.0ms	(sqrt (* (- (+ y t) 2.0) b))
27.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	270	693
1	1225	610
2	5003	588

prune280.0ms

Filtered

118 candidates to 67 candidates (56.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Merged error: 0b

Counts

123 → 5

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

755.0ms	12594×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample46.0ms

simplify38.0ms

prune3.0ms

localize19.0ms

rewrite34.0ms

series389.0ms

simplify103.0ms

prune301.0ms

localize19.0ms

rewrite26.0ms

series402.0ms

simplify43.0ms

prune392.0ms

localize23.0ms

rewrite48.0ms

series362.0ms

simplify56.0ms

prune348.0ms

localize19.0ms

rewrite51.0ms

series211.0ms

simplify48.0ms

prune280.0ms

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling