Details

analyze1.4s

Algorithm: search

sample38.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
7.0ms	142×	body	80	invalid

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

prune7.0ms

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

rewrite34.0ms

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` `associate-+l+` `associate--l+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

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)
6.0ms	(* (- y 1.0) z)

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
48.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- y 1.0) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	851	1467
1	4347	1416
2	5001	1416

prune173.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
2.0b	(* (- (* y y) (* 1.0 1.0)) z)
7.8b	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

18.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
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))

series88.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- (* y y) (* 1.0 1.0)) z)
8.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1013	1868
1	5001	1776

prune200.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

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

series71.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
4.0ms	(* (- y 1.0) z)
20.0ms	(* (sqrt (- (+ y t) 2.0)) b)
22.0ms	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	763	943
1	3042	841
2	5002	841

prune169.0ms

Filtered

76 candidates to 113 candidates (-48.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

regimes475.0ms

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

analyze1.4s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

427.0ms	7995×	body	80	valid
234.0ms	4402×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.4s

sample38.0ms

simplify38.0ms

prune7.0ms

localize14.0ms

rewrite34.0ms

series82.0ms

simplify101.0ms

prune173.0ms

localize18.0ms

rewrite44.0ms

series88.0ms

simplify42.0ms

prune200.0ms

localize16.0ms

rewrite41.0ms

series71.0ms

simplify74.0ms

prune169.0ms

regimes475.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample1.1s

Profiling