Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	322×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
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-+` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

9.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify29.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	159	148
1	838	127
2	5002	127

prune51.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0b

Counts

30 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ d3 5.0) 32.0))
0.0b	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

8.0ms	(* d1 (+ (+ d3 5.0) 32.0))
5.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* d1 (+ (+ d3 5.0) 32.0))
37.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	237	231
1	1186	203
2	5001	201

prune84.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt d1) (cbrt d1))
0.5b	(cbrt d1)
0.5b	(cbrt d1)
0.5b	(cbrt d1)

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 d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series739.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt d1) (cbrt d1))
188.0ms	(cbrt d1)
176.0ms	(cbrt d1)
175.0ms	(cbrt d1)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune222.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d3 5.0) (+ d3 5.0))
0.0b	(+ (* d1 d2) (/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0)))
3.8b	(* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0)))
8.0b	(/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0))

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

Counts

4 → 111

Calls

4 calls:

8.0ms	(* (+ d3 5.0) (+ d3 5.0))
10.0ms	(+ (* d1 d2) (/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0)))
15.0ms	(* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0)))
17.0ms	(/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0))

series330.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ d3 5.0) (+ d3 5.0))
139.0ms	(+ (* d1 d2) (/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0)))
54.0ms	(* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0)))
120.0ms	(/ (* d1 (- (* (+ d3 5.0) (+ d3 5.0)) (* 32.0 32.0))) (- (+ d3 5.0) 32.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	602	1043
1	2962	918
2	5001	914

prune241.0ms

Filtered

123 candidates to 74 candidates (60.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes80.0ms

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	15	5
1	15	5

end0.0ms

sample491.0ms

Algorithm

intervals

Results

285.0ms	10070×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid