Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

760×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	224	4
4	401	4
5	758	4
6	2403	4
7	5002	4

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: 7.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

8.0ms	(* (cosh x) (/ y x))
11.0ms	(/ (* (cosh x) (/ y x)) z)

series244.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (cosh x) (/ y x))
144.0ms	(/ (* (cosh x) (/ y x)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune176.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y (* x z)))
7.3b	(/ y (* x z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*`
2×	`cosh-def` `div-inv` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

8.0ms	(* (cosh x) (/ y (* x z)))
5.0ms	(/ y (* x z))

series174.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(* (cosh x) (/ y (* x z)))
32.0ms	(/ y (* x z))

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	259	290
1	1062	239
2	5002	239

prune128.0ms

Filtered

56 candidates to 37 candidates (66.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	54	10	64

Merged error: 0.0b

Counts

64 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (/ 1 x) (/ y z)))
6.9b	(* (/ 1 x) (/ y z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
34×	`add-sqr-sqrt`
32×	`add-cbrt-cube`
25×	`times-frac` `prod-exp`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`div-exp` `associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
9×	`pow1`
8×	`cbrt-undiv`
6×	`frac-times` `associate-*r/` `unswap-sqr`
4×	`rec-exp` `cosh-def` `1-exp` `pow-prod-down` `associate-*l/`
2×	`*-commutative` `div-inv` `add-log-exp`

Counts

2 → 91

Calls

2 calls:

11.0ms	(* (cosh x) (* (/ 1 x) (/ y z)))
12.0ms	(* (/ 1 x) (/ y z))

series167.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(* (cosh x) (* (/ 1 x) (/ y z)))
25.0ms	(* (/ 1 x) (/ y z))

simplify76.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	521	573
1	2324	456
2	5001	449

prune183.0ms

Filtered

97 candidates to 58 candidates (59.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (/ y z) x))
6.8b	(/ (/ y z) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`cosh-def` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

2 → 137

Calls

2 calls:

15.0ms	(* (cosh x) (/ (/ y z) x))
6.0ms	(/ (/ y z) x)

series173.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(* (cosh x) (/ (/ y z) x))
27.0ms	(/ (/ y z) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	610	936
1	2748	876
2	5001	876

prune573.0ms

Filtered

143 candidates to 115 candidates (80.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	143	7	150

Merged error: 0b

Counts

150 → 7

regimes232.0ms

Accuracy

93.6% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

687.0ms

22264×

body

valid