Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

402×

body

valid

simplify40.0ms

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

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) a)
13.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)

series250.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
32.0ms	(* (- t 1.0) a)
26.0ms	(* (- (+ y t) 2.0) b)
28.0ms	(* (- y 1.0) z)

simplify111.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune304.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
3.1b	(* (- (* y y) (* 1.0 1.0)) z)
4.1b	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`frac-add`
10×	`add-cube-cbrt`
9×	`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`
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*` `distribute-lft-out--`

Counts

4 → 100

Calls

4 calls:

11.0ms	(* (- t 1.0) a)
17.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ 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))

series335.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
205.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
46.0ms	(* (- (* y y) (* 1.0 1.0)) z)
55.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1009	1833
1	5001	1746

prune357.0ms

Filtered

112 candidates to 81 candidates (72.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(- (* z y) z)
12.0ms	(+ (- (- x (* 1.0 (- (* z y) z))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)

series399.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* z y) z)
309.0ms	(+ (- (- x (* 1.0 (- (* z y) z))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
32.0ms	(* (- t 1.0) a)
26.0ms	(* (- (+ y t) 2.0) b)

simplify108.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	870	1346
1	4423	1291
2	5001	1291

prune283.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- y 1.0) z)
0.1b	(pow (* (- y 1.0) z) 3)
39.7b	(cbrt (pow (* (- y 1.0) z) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`cbrt-prod` `associate-*l/`
6×	`associate-r`
4×	`cube-div` `flip3--` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-exp` `*-commutative` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)
6.0ms	(pow (* (- y 1.0) z) 3)
3.0ms	(cbrt (pow (* (- y 1.0) z) 3))

series120.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- (+ y t) 2.0) b)
31.0ms	(* (- y 1.0) z)
32.0ms	(pow (* (- y 1.0) z) 3)
30.0ms	(cbrt (pow (* (- y 1.0) z) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	353	435
1	1580	399
2	5002	398

prune251.0ms

Filtered

100 candidates to 64 candidates (64.0%)

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: 0.0b

Counts

104 → 4

regimes160.0ms

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	25	11
1	25	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

629.0ms	12367×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample40.0ms

simplify40.0ms

prune3.0ms

localize15.0ms

rewrite41.0ms

series250.0ms

simplify111.0ms

prune304.0ms

localize18.0ms

rewrite46.0ms

series335.0ms

simplify46.0ms

prune357.0ms

localize15.0ms

rewrite33.0ms

series399.0ms

simplify108.0ms

prune283.0ms

localize18.0ms

rewrite29.0ms

series120.0ms

simplify48.0ms

prune251.0ms

regimes160.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling