Details

sample44.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

20.0ms

381×

body

valid

simplify37.0ms

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

prune5.0ms

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

localize17.0ms

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
4.0ms	(* (- y 1.0) z)
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5002	539

prune135.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3--` `flip--`
74×	`associate-*l/`
68×	`frac-sub`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `associate-r/` `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 → 139

Calls

4 calls:

16.0ms	(* (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))
6.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
5.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
7.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))
174.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
174.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
177.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	534	4542
1	1814	4414
2	5001	4312

prune629.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	151	4	155

Merged error: 0.0b

Counts

155 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)
0.1b	(pow (* (- y 1.0) z) 3)
39.4b	(cbrt (pow (* (- y 1.0) z) 3))

rewrite27.0ms

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:

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

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
7.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(pow (* (- y 1.0) z) 3)
7.0ms	(cbrt (pow (* (- y 1.0) z) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	401	455
1	1670	403
2	5003	403

prune159.0ms

Filtered

64 candidates to 100 candidates (-56.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))
0.5b	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.5b	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.5b	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
20×	`flip3--` `flip--`
16×	`associate-*l/` `frac-sub`
15×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqrt-prod`

Counts

4 → 71

Calls

4 calls:

7.0ms	(cbrt (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))
6.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
6.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
6.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))
174.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
175.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
173.0ms	(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	477	1528
1	1595	1445
2	5003	1425

prune532.0ms

Filtered

78 candidates to 83 candidates (-6.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

regimes550.0ms

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

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

705.0ms	12573×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid

Details

sample44.0ms

simplify37.0ms

prune5.0ms

localize17.0ms

rewrite29.0ms

series41.0ms

simplify59.0ms

prune135.0ms

localize19.0ms

rewrite45.0ms

series779.0ms

simplify83.0ms

prune629.0ms

localize19.0ms

rewrite27.0ms

series26.0ms

simplify48.0ms

prune159.0ms

localize26.0ms

rewrite26.0ms

series677.0ms

simplify55.0ms

prune532.0ms

regimes550.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling