Details

analyze1.4s

Algorithm: search

sample44.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	137×	body	80	invalid

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)
6.0ms	(* (- (+ y t) 2.0) b)
47.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify104.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (19.0ms)

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

prune192.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))

rewrite36.0ms

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:

12.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
8.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))

series129.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
30.0ms	(cbrt (* (- (+ y t) 2.0) b))
27.0ms	(cbrt (* (- (+ y t) 2.0) b))
28.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	377	1025
1	1180	960
2	5001	902

prune250.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(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)

series91.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune124.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

674×	`associate-*l/`
528×	`flip3--` `flip--`
462×	`cbrt-div`
396×	`frac-add`
264×	`frac-sub`
196×	`frac-times`
33×	`flip3-+` `flip-+`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-*r/`
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 → 339

Calls

4 calls:

16.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
11.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
11.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
33.0ms	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
91.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
92.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
178.0ms	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

simplify332.0ms

Algorithm

egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	1293	29742
1	4831	29576
2	5001	29495

prune4.0s

Filtered

234 candidates to 351 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	4	4
Picked	1	0	1
Done	1	2	3
Total	352	7	359

Merged error: 0.0b

Counts

359 → 7

regimes682.0ms

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

sample1.3s

Algorithm

intervals

Results

670.0ms	7998×	body	80	valid
247.0ms	4391×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze1.4s

sample44.0ms

simplify37.0ms

prune5.0ms

localize14.0ms

rewrite36.0ms

series61.0ms

simplify104.0ms

prune192.0ms

localize19.0ms

rewrite36.0ms

series129.0ms

simplify41.0ms

prune250.0ms

localize18.0ms

rewrite11.0ms

series91.0ms

simplify72.0ms

prune124.0ms

localize22.0ms

rewrite134.0ms

series453.0ms

simplify332.0ms

prune4.0s

regimes682.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample1.3s

Profiling