Details

sample54.0ms

Algorithm

intervals

Results

21.0ms

395×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune9.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
3.0ms	(- x (* (- y 1.0) z))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
7.0ms	(- x (* (- y 1.0) z))
6.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- y 1.0) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4964	702
1	4964	702

prune122.0ms

Filtered

61 candidates to 91 candidates (-49.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
0.0b	(* (- (+ y t) 2.0) b)
1.9b	(* z (- (pow y 3) (pow 1.0 3)))
11.9b	(/ (* z (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`associate-r`
25×	`*-un-lft-identity`
17×	`difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
12×	`unpow-prod-down` `cube-prod`
10×	`add-cube-cbrt`
9×	`associate-l` `add-log-exp`
8×	`pow1` `sqr-pow`
7×	`distribute-lft-out--`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `sum-log` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `associate-+r+` `frac-2neg` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

6.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
8.0ms	(* (- (+ y t) 2.0) b)
19.0ms	(* z (- (pow y 3) (pow 1.0 3)))
20.0ms	(/ (* z (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
6.0ms	(* (- (+ y t) 2.0) b)
12.0ms	(* z (- (pow y 3) (pow 1.0 3)))
27.0ms	(/ (* z (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5039	1423

prune245.0ms

Filtered

81 candidates to 119 candidates (-46.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Merged error: 0.0b

Counts

123 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* z (- (sqrt y) (sqrt 1.0)))
0.1b	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
19×	`associate-l`
16×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
8×	`sqrt-prod`
6×	`sub-neg` `flip3--` `pow-prod-down` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`frac-times` `*-commutative` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)
9.0ms	(* z (- (sqrt y) (sqrt 1.0)))
15.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)
9.0ms	(* z (- (sqrt y) (sqrt 1.0)))
28.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5049	1221

prune192.0ms

Filtered

81 candidates to 123 candidates (-51.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0.0b

Counts

127 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (- y 1.0) z))
0.0b	(* (- y 1.0) z)
0.1b	(* (+ y (- t 2.0)) (sqrt b))
0.1b	(* (* (+ y (- t 2.0)) (sqrt b)) (sqrt b))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(- x (* (- y 1.0) z))
6.0ms	(* (- y 1.0) z)
9.0ms	(* (+ y (- t 2.0)) (sqrt b))
11.0ms	(* (* (+ y (- t 2.0)) (sqrt b)) (sqrt b))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (* (- y 1.0) z))
6.0ms	(* (- y 1.0) z)
12.0ms	(* (+ y (- t 2.0)) (sqrt b))
11.0ms	(* (* (+ y (- t 2.0)) (sqrt b)) (sqrt b))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5049	829

prune101.0ms

Filtered

60 candidates to 95 candidates (-58.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

regimes541.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	348	21
1	348	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

682.0ms	12648×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample54.0ms

simplify54.0ms

prune9.0ms

localize15.0ms

rewrite25.0ms

series22.0ms

simplify44.0ms

prune122.0ms

localize24.0ms

rewrite57.0ms

series48.0ms

simplify58.0ms

prune245.0ms

localize20.0ms

rewrite45.0ms

series48.0ms

simplify44.0ms

prune192.0ms

localize18.0ms

rewrite32.0ms

series36.0ms

simplify45.0ms

prune101.0ms

regimes541.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample1.5s

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