Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	312×	body	80	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)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify28.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

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

prune41.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ d2 (+ (+ d3 5.0) 32.0))) (cbrt (+ d2 (+ (+ d3 5.0) 32.0))))
0.7b	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
0.7b	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
0.7b	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
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 → 117

Calls

4 calls:

18.0ms	(* (cbrt (+ d2 (+ (+ d3 5.0) 32.0))) (cbrt (+ d2 (+ (+ d3 5.0) 32.0))))
7.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
7.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
7.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (+ d2 (+ (+ d3 5.0) 32.0))) (cbrt (+ d2 (+ (+ d3 5.0) 32.0))))
96.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
95.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))
94.0ms	(cbrt (+ d2 (+ (+ d3 5.0) 32.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	317	1370
1	1062	1304
2	5002	1127

prune229.0ms

Filtered

129 candidates to 75 candidates (58.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.0b	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
6.2b	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
16.7b	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite42.0ms

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:

13.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
4.0ms	(- (* 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))))
15.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
34.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
80.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
91.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (79.0ms)

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

prune193.0ms

Filtered

132 candidates to 79 candidates (59.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))
0.3b	(pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3)
36.9b	(cbrt (pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-r/` `associate-r*` `distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

9.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))
9.0ms	(pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3)
2.0ms	(cbrt (pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3))

series147.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))
67.0ms	(pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3)
52.0ms	(cbrt (pow (* d1 (+ d2 (+ (+ d3 5.0) 32.0))) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	357	492
1	1879	458
2	5001	457

prune126.0ms

Filtered

77 candidates to 50 candidates (64.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes72.0ms

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

sample461.0ms

Algorithm

intervals

Results

268.0ms	9957×	body	80	valid
2.0ms	19×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	2×	body	160	valid