Details

sample15.0ms

Algorithm

intervals

Results

7.0ms	292×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

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 2 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 10.0 d2) 20.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series51.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ 10.0 d2) 20.0)
32.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	177	179
1	791	157
2	4227	156
3	5003	156

prune61.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 10.0 d2))
0.2b	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(* d1 (+ 10.0 d2))
6.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* d1 (+ 10.0 d2))
39.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	215	180
1	973	159
2	5001	157

prune58.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (+ 10.0 d2) 20.0))
0.3b	(cbrt (+ (+ 10.0 d2) 20.0))
0.4b	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))
0.4b	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
24×	`*-un-lft-identity`
18×	`pow1` `add-exp-log`
16×	`associate-*l/`
15×	`cbrt-prod`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 109

Calls

4 calls:

5.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
5.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
16.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))
24.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
84.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
146.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))
32.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	605	1733
1	2163	1543
2	5001	1490

prune223.0ms

Filtered

121 candidates to 75 candidates (62.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
3.3b	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
10.3b	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
8.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
14.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
19.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
16.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
52.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
115.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	516	966
1	2579	841
2	5002	837

prune190.0ms

Filtered

127 candidates to 76 candidates (59.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes36.0ms

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	3
1	10	3

end0.0ms

sample364.0ms

Algorithm

intervals

Results

204.0ms	9013×	body	80	valid
6.0ms	62×	body	1280	valid
3.0ms	14×	body	160	valid
3.0ms	35×	body	640	valid
1.0ms	21×	body	320	valid