Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	2
1	14	2
2	14	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* d1 d2) (* d1 d3))

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-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+ (* d1 d2) (* d1 d3))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (* d1 d2) (* d1 d3))

simplify137.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	98	73
1	367	62
2	1324	60
3	3943	60
4	5001	60

prune22.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 d3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

5.0ms

(* d1 (+ d2 d3))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* d1 (+ d2 d3))

simplify50.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	126	86
1	533	76
2	2146	76
3	5002	76

prune28.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ d2 d3))
0.3b	(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
3.6b	(sqrt (* d1 (+ d2 d3)))
3.6b	(sqrt (* d1 (+ d2 d3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* d1 (+ d2 d3))
13.0ms	(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
4.0ms	(sqrt (* d1 (+ d2 d3)))
4.0ms	(sqrt (* d1 (+ d2 d3)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* d1 (+ d2 d3))
25.0ms	(* (sqrt (* d1 (+ d2 d3))) (sqrt (* d1 (+ d2 d3))))
49.0ms	(sqrt (* d1 (+ d2 d3)))
48.0ms	(sqrt (* d1 (+ d2 d3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	271	516
1	1240	463
2	5001	439

prune169.0ms

Filtered

118 candidates to 66 candidates (55.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3) (sqrt (sqrt (* d1 (+ d2 d3)))))
0.4b	(pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3)
3.6b	(sqrt (* d1 (+ d2 d3)))
3.6b	(sqrt (* d1 (+ d2 d3)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`sqrt-div`
20×	`associate-r/` `associate-l*`
18×	`unpow-prod-down` `cube-prod`
16×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`associate-r` `add-cbrt-cube`
6×	`pow-pow`
4×	`frac-times` `pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 126

Calls

4 calls:

15.0ms	(* (pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3) (sqrt (sqrt (* d1 (+ d2 d3)))))
7.0ms	(pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3)
4.0ms	(sqrt (* d1 (+ d2 d3)))
4.0ms	(sqrt (* d1 (+ d2 d3)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3) (sqrt (sqrt (* d1 (+ d2 d3)))))
133.0ms	(pow (sqrt (sqrt (* d1 (+ d2 d3)))) 3)
46.0ms	(sqrt (* d1 (+ d2 d3)))
49.0ms	(sqrt (* d1 (+ d2 d3)))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	447	1117
1	1823	934
2	5001	829

prune256.0ms

Filtered

138 candidates to 79 candidates (57.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	138	4	142

Merged error: 0b

Counts

142 → 4

regimes69.0ms

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	9	3
1	9	3

end0.0ms

sample430.0ms

Algorithm

intervals

Results

216.0ms

10101×

body

valid