Details

sample55.0ms

Algorithm

intervals

Results

26.0ms

393×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5296	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))
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	(* (- (+ y t) 2.0) b)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(- x (* (- y 1.0) z))
6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
11.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)

series94.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (- y 1.0) z))
35.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
44.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- (+ y t) 2.0) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	6198	2666

prune173.0ms

Filtered

74 candidates to 97 candidates (-31.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

16.0ms	(* (cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a)))) (cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a)))))
6.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))
6.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))
6.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a)))) (cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a)))))
145.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))
147.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))
148.0ms	(cbrt (+ x (- (* z (- 1.0 y)) (* (- t 1.0) a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4964	2440
1	4964	2440

prune260.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(sqrt (+ x (* z (- 1.0 y))))
0.0b	(sqrt (+ x (* z (- 1.0 y))))
0.3b	(* (sqrt (+ x (* z (- 1.0 y)))) (sqrt (+ x (* z (- 1.0 y)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(* (- (+ y t) 2.0) b)
2.0ms	(sqrt (+ x (* z (- 1.0 y))))
2.0ms	(sqrt (+ x (* z (- 1.0 y))))
9.0ms	(* (sqrt (+ x (* z (- 1.0 y)))) (sqrt (+ x (* z (- 1.0 y)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (+ y t) 2.0) b)
17.0ms	(sqrt (+ x (* z (- 1.0 y))))
17.0ms	(sqrt (+ x (* z (- 1.0 y))))
16.0ms	(* (sqrt (+ x (* z (- 1.0 y)))) (sqrt (+ x (* z (- 1.0 y)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4952	1462
1	4952	1462

prune169.0ms

Filtered

74 candidates to 122 candidates (-64.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize17.0ms

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))
0.2b	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-l` `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--`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (+ y (- t 2.0)) b)
6.0ms	(sqrt (* (+ y (- t 2.0)) b))
6.0ms	(sqrt (* (+ y (- t 2.0)) b))
16.0ms	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ y (- t 2.0)) b)
17.0ms	(sqrt (* (+ y (- t 2.0)) b))
18.0ms	(sqrt (* (+ y (- t 2.0)) b))
10.0ms	(* (sqrt (* (+ y (- t 2.0)) b)) (sqrt (* (+ y (- t 2.0)) b)))

simplify32.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5004	1135

prune144.0ms

Filtered

68 candidates to 117 candidates (-72.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes561.0ms

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	21
1	23	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

701.0ms	12556×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

Details

sample55.0ms

simplify76.0ms

prune10.0ms

localize14.0ms

rewrite33.0ms

series94.0ms

simplify39.0ms

prune173.0ms

localize23.0ms

rewrite37.0ms

series649.0ms

simplify53.0ms

prune260.0ms

localize18.0ms

rewrite27.0ms

series56.0ms

simplify49.0ms

prune169.0ms

localize17.0ms

rewrite40.0ms

series52.0ms

simplify32.0ms

prune144.0ms

regimes561.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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