Details

sample45.0ms

Algorithm

intervals

Results

24.0ms	385×	body	80	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series107.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- t 1.0) a)
29.0ms	(* (- y 1.0) z)
16.0ms	(- (+ y t) 2.0)
32.0ms	(* (- (+ y t) 2.0) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	385
1	1288	334
2	5002	334

prune210.0ms

Filtered

96 candidates to 60 candidates (62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize18.0ms

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))

rewrite47.0ms

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:

24.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
5.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))
7.0ms	(cbrt (- (+ y t) 2.0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
109.0ms	(cbrt (- (+ y t) 2.0))
110.0ms	(cbrt (- (+ y t) 2.0))
112.0ms	(cbrt (- (+ y t) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

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

prune337.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y t) 2.0)
0.0b	(* (- (+ y t) 2.0) b)
1.9b	(* (- (* y y) (* 1.0 1.0)) z)
5.0b	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-l`
9×	`add-log-exp`
8×	`pow1`
6×	`associate-r` `associate-*l/`
4×	`flip3--` `times-frac` `associate-/r*` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `flip3-+` `associate--l+` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 88

Calls

4 calls:

6.0ms	(- (+ y t) 2.0)
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- (* y y) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (+ y t) 2.0)
30.0ms	(* (- (+ y t) 2.0) b)
40.0ms	(* (- (* y y) (* 1.0 1.0)) z)
61.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	425	583
1	2062	495
2	5003	487

prune242.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 0b

Counts

104 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(- (+ y t) 2.0)
0.0b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (- y 1.0) z)
6.0ms	(- (+ y t) 2.0)
9.0ms	(* (- (+ y t) 2.0) (sqrt b))
11.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series151.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- y 1.0) z)
16.0ms	(- (+ y t) 2.0)
65.0ms	(* (- (+ y t) 2.0) (sqrt b))
38.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	369	529
1	1594	450
2	5001	446

prune277.0ms

Filtered

101 candidates to 62 candidates (61.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes189.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

661.0ms	12492×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid