Details

analyze1.5s

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

sample39.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	141×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune20.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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:

11.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
14.0ms	(* (- (+ y t) 2.0) b)
21.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
11.0ms	(* (- t 1.0) a)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
6.0ms	(* (- (+ y t) 2.0) b)
50.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- t 1.0) a)

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4978	2749
1	4978	2749

prune202.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ t (- y 2.0)) b)) (cbrt (* (+ t (- y 2.0)) b)))
0.6b	(cbrt (* (+ t (- y 2.0)) b))
0.6b	(cbrt (* (+ t (- y 2.0)) b))
0.6b	(cbrt (* (+ t (- y 2.0)) b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series131.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (* (+ t (- y 2.0)) b)) (cbrt (* (+ t (- y 2.0)) b)))
27.0ms	(cbrt (* (+ t (- y 2.0)) b))
31.0ms	(cbrt (* (+ t (- y 2.0)) b))
29.0ms	(cbrt (* (+ t (- y 2.0)) b))

simplify63.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5352	1192

prune208.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.7b	(cbrt b)
0.7b	(cbrt b)
0.7b	(cbrt b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `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 → 73

Calls

4 calls:

5.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series93.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt b) (cbrt b))
21.0ms	(cbrt b)
24.0ms	(cbrt b)
22.0ms	(cbrt b)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune109.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
0.6b	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
0.6b	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
0.6b	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))

rewrite41.0ms

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:

17.0ms	(* (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
7.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
7.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
7.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))) (cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z)))))
164.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
165.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))
164.0ms	(cbrt (- x (+ (* (- t 1.0) a) (* (- y 1.0) z))))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5011	2661

prune276.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	112	8	120

Merged error: 0b

Counts

120 → 8

regimes701.0ms

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

sample1.1s

Algorithm

intervals

Results

445.0ms	7994×	body	80	valid
252.0ms	4502×	body	80	invalid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Details

analyze1.5s

sample39.0ms

simplify56.0ms

prune20.0ms

localize19.0ms

rewrite62.0ms

series88.0ms

simplify38.0ms

prune202.0ms

localize21.0ms

rewrite27.0ms

series131.0ms

simplify63.0ms

prune208.0ms

localize18.0ms

rewrite11.0ms

series93.0ms

simplify45.0ms

prune109.0ms

localize20.0ms

rewrite41.0ms

series723.0ms

simplify53.0ms

prune276.0ms

regimes701.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample1.1s

Profiling