Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

499×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

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: 5.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

4.0ms	(- (* z z) t)
8.0ms	(* (* y 4.0) (- (* z z) t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* z z) t)
60.0ms	(* (* y 4.0) (- (* z z) t))

simplify34.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	214	228
1	984	192
2	5001	191

prune87.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Merged error: 2.7b

Counts

45 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))
5.2b	(* (* y 4.0) (- (* z z) t))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 86

Calls

4 calls:

6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))

series326.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
61.0ms	(* (* y 4.0) (- (* z z) t))
62.0ms	(* (* y 4.0) (- (* z z) t))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	616
1	1138	518
2	5002	507

prune213.0ms

Filtered

98 candidates to 61 candidates (62.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 2.7b

Counts

105 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))
5.2b	(* (* y 4.0) (- (* z z) t))
5.8b	(cbrt (- (* z z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`cbrt-prod`
4×	`distribute-rgt-in` `sub-neg` `cbrt-div` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
3×	`difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
57.0ms	(* (* y 4.0) (- (* z z) t))
61.0ms	(* (* y 4.0) (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	343	563
1	1300	487
2	5002	475

prune261.0ms

Filtered

87 candidates to 61 candidates (70.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	87	8	95

Merged error: 2.7b

Counts

95 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
5.8b	(cbrt (- (* z z) t))
5.8b	(cbrt (- (* z z) t))
5.8b	(cbrt (- (* z z) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
4.0ms	(cbrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
85.0ms	(cbrt (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))

simplify111.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	315	709
1	1057	625
2	4510	613
3	5001	613

prune232.0ms

Filtered

84 candidates to 66 candidates (78.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	84	8	92

Merged error: 2.7b

Counts

92 → 8

regimes429.0ms

Accuracy

78.5% (0.7b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

623.0ms

15729×

body

valid