Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

336×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 4.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.2b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
20.0ms	(- (/ y z) (/ t (- 1.0 z)))
21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series112.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ t (- 1.0 z))
35.0ms	(- (/ y z) (/ t (- 1.0 z)))
45.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5001	593

prune232.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	86	12	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	13	99

Merged error: 1.1b

Counts

99 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
82×	`cbrt-prod`
64×	`times-frac`
36×	`distribute-lft-out--`
33×	`cbrt-div`
28×	`difference-of-squares`
17×	`swap-sqr`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

41.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
20.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
131.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
131.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
134.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify92.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	376	2101
1	1090	2020
2	3843	1867
3	5001	1852

prune437.0ms

Filtered

155 candidates to 107 candidates (69.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	154	14	168

Merged error: 1.0b

Counts

168 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
82×	`cbrt-prod`
64×	`times-frac`
36×	`distribute-lft-out--`
33×	`cbrt-div`
28×	`difference-of-squares`
17×	`swap-sqr`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

42.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
16.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
16.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
129.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
133.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
129.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify92.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	376	2101
1	1090	2020
2	3843	1867
3	5001	1852

prune485.0ms

Filtered

155 candidates to 107 candidates (69.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	155	14	169

Merged error: 1.0b

Counts

169 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
5.9b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.9b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.9b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

24.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
18.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
21.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series724.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
229.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
227.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
223.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	313	732
1	1134	647
2	5002	639

prune240.0ms

Filtered

80 candidates to 65 candidates (81.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	79	15	94

Merged error: 1.0b

Counts

94 → 15

regimes428.0ms

Accuracy

84.3% (0.6b remaining)

Error of 1.3b against oracle of 0.7b and baseline of 4.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	21
1	30	21

end0.0ms

sample556.0ms

Algorithm

intervals

Results

307.0ms

10161×

body

valid