Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	312×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	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

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

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)))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

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

prune43.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
8.0ms	(* (+ d3 5.0) d1)
6.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series103.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
26.0ms	(* (+ d3 5.0) d1)
37.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	271	315
1	1079	281
2	5002	270

prune88.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))
10.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (+ d3 5.0))
84.0ms	(cbrt (+ d3 5.0))
84.0ms	(cbrt (+ d3 5.0))
99.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

simplify158.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	328	792
1	1085	748
2	4755	669
3	5001	665

prune254.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
2.7b	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
8.3b	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
18.9b	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`distribute-lft-out`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip--` `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/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

14.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
6.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
13.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
33.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
81.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
93.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	558	1314
1	3071	1145
2	5001	1126

prune200.0ms

Filtered

132 candidates to 79 candidates (59.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes64.0ms

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	13	4
1	13	4

end0.0ms

sample588.0ms

Algorithm

intervals

Results

358.0ms	10072×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	12×	body	160	valid

Details

sample22.0ms

simplify14.0ms

prune5.0ms

localize6.0ms

rewrite10.0ms

series29.0ms

simplify31.0ms

prune43.0ms

localize8.0ms

rewrite19.0ms

series103.0ms

simplify37.0ms

prune88.0ms

localize16.0ms

rewrite22.0ms

series353.0ms

simplify158.0ms

prune254.0ms

localize13.0ms

rewrite40.0ms

series226.0ms

simplify91.0ms

prune200.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample588.0ms

Profiling