Details

sample43.0ms

Algorithm

intervals

Results

23.0ms

332×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 2.8b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
2.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite74.0ms

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:

22.0ms	(- (/ y z) (/ t (- 1.0 z)))
9.0ms	(/ t (- 1.0 z))
37.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (/ y z) (/ t (- 1.0 z)))
32.0ms	(/ t (- 1.0 z))
44.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

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

prune201.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 0.6b

Counts

99 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
33×	`cbrt-div`
30×	`cbrt-prod`
24×	`times-frac`
18×	`associate-*r/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `frac-sub` `flip--`
9×	`pow1` `add-exp-log` `frac-times`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

44.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
20.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
130.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
127.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
131.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify100.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	419	1341
1	969	1257
2	2506	1243
3	5002	1222

prune324.0ms

Filtered

109 candidates to 84 candidates (77.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	106	15	121

Merged error: 0.6b

Counts

121 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
2.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
31.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
180.0ms	(cbrt x)
145.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
70.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	426	899
1	1901	709
2	5003	639

prune221.0ms

Filtered

103 candidates to 68 candidates (66.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	5	7	12
Picked	1	0	1
Done	0	2	2
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
2.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

32×	`distribute-rgt-in` `distribute-lft-in`
30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-*r/` `add-cbrt-cube`
12×	`sub-neg`
7×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `frac-sub` `flip--`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
28.0ms	(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
33.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt x)
170.0ms	(cbrt x)
142.0ms	(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
92.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	498	1732
1	1947	1422
2	5001	1399

prune221.0ms

Filtered

111 candidates to 63 candidates (56.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	6	8
Picked	1	0	1
Done	0	2	2
Total	112	10	122

Merged error: 0.0b

Counts

122 → 10

regimes327.0ms

Accuracy

2% (4.3b remaining)

Error of 4.4b against oracle of 0.1b and baseline of 4.5b

bsearch129.0ms

Steps

Iters	Range		Point
10	7.111626454084177e-242	3.463139099111486e-229	6.583302129873425e-239
10	2.07510254239945e-292	9.276151898102488e-276	5.4404147749442655e-292

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample653.0ms

Algorithm

intervals

Results

388.0ms

10164×

body

valid