Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

267×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune4.0ms

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: 32.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
31.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
23.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series463.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
76.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
303.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	513	1302
1	2274	1176
2	5001	1174

prune417.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Merged error: 31.1b

Counts

104 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.6b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
17.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
53.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
320.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify80.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	552	1720
1	2685	1540
2	5001	1514

prune413.0ms

Filtered

127 candidates to 81 candidates (63.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Merged error: 31.1b

Counts

138 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

23.4b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
23.4b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
23.4b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
31.6b	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
50.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series809.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
178.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
154.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
311.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	361	2188
1	1235	1993
2	5002	1935

prune447.0ms

Filtered

82 candidates to 71 candidates (86.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Merged error: 31.1b

Counts

93 → 11

localize34.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
20.3b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
20.3b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
31.6b	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

11.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
11.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
11.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
31.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
196.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
196.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
470.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify111.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	381	2238
1	1144	2037
2	4204	1955
3	5001	1952

prune385.0ms

Filtered

76 candidates to 65 candidates (85.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	76	11	87

Merged error: 31.1b

Counts

87 → 11

regimes655.0ms

Accuracy

68.2% (0.4b remaining)

Error of 28.8b against oracle of 28.4b and baseline of 29.6b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	33
1	50	33

end0.0ms

sample1.0s

Algorithm

intervals

Results

696.0ms

8242×

body

valid

Details

sample43.0ms

simplify103.0ms

prune4.0ms

localize21.0ms

rewrite58.0ms

series463.0ms

simplify63.0ms

prune417.0ms

localize23.0ms

rewrite69.0ms

series502.0ms

simplify80.0ms

prune413.0ms

localize32.0ms

rewrite79.0ms

series809.0ms

simplify52.0ms

prune447.0ms

localize34.0ms

rewrite66.0ms

series1.1s

simplify111.0ms

prune385.0ms

regimes655.0ms

bsearch4.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling