Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

341×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) (* z t))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(+ (* x y) (* z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5297	141

prune23.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

12.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
42.0ms	(cbrt (+ (* x y) (* z t)))
40.0ms	(cbrt (+ (* x y) (* z t)))
39.0ms	(cbrt (+ (* x y) (* z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4955	1435
1	4955	1435

prune114.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (+ (* x y) (* z t))) 6)
1.0b	(cbrt (+ (* x y) (* z t)))
1.0b	(cbrt (+ (* x y) (* z t)))
24.7b	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

8.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

series193.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
42.0ms	(cbrt (+ (* x y) (* z t)))
40.0ms	(cbrt (+ (* x y) (* z t)))
51.0ms	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

simplify30.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5809	908

prune97.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

6.2b	(* z (* z (* t t)))
8.7b	(* z (* t t))
12.5b	(* x (* y y))
24.2b	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* z (* z (* t t)))
6.0ms	(* z (* t t))
6.0ms	(* x (* y y))
13.0ms	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (* z (* t t)))
7.0ms	(* z (* t t))
7.0ms	(* x (* y y))
34.0ms	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (- (* x y) (* z t)))

simplify24.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	4999	1252
1	4999	1252

prune77.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes389.0ms

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	10	7
1	10	7

end0.0ms

sample809.0ms

Algorithm

intervals

Results

293.0ms

10519×

body

valid

Details

sample33.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series11.0ms

simplify38.0ms

prune23.0ms

localize9.0ms

rewrite29.0ms

series173.0ms

simplify48.0ms

prune114.0ms

localize11.0ms

rewrite23.0ms

series193.0ms

simplify30.0ms

prune97.0ms

localize14.0ms

rewrite36.0ms

series56.0ms

simplify24.0ms

prune77.0ms

regimes389.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample809.0ms

Profiling