Details

sample108.0ms

Algorithm

intervals

Results

21.0ms

263×

body

valid

simplify100.0ms

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

prune9.0ms

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: 28.8b

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)
28.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite50.0ms

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)
9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms	(* (+ (* x y) z) y)
24.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series176.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
146.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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 (49.0ms)

Iter	Nodes	Cost
0	509	1200
1	2222	1083
2	5001	1081

prune238.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 27.9b

Counts

104 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
7.7b	(cbrt (+ (* x y) z))
28.2b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

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:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
43.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series242.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* x y) z))
30.0ms	(cbrt (+ (* x y) z))
32.0ms	(cbrt (+ (* x y) z))
148.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify109.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	357	1565
1	1108	1442
2	4287	1430
3	5001	1424

prune193.0ms

Filtered

68 candidates to 82 candidates (-20.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	82	12	94

Merged error: 27.9b

Counts

94 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.2b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms	(* (+ (* x y) z) y)
26.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series392.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
139.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
230.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify94.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	671	3548
1	3251	3285
2	5001	3205

prune250.0ms

Filtered

95 candidates to 167 candidates (-75.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	2	8	10
Picked	1	0	1
Done	1	0	1
Total	168	11	179

Merged error: 27.9b

Counts

179 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
28.3b	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
21×	`associate-r`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt` `div-exp` `prod-exp`
14×	`times-frac`
13×	`pow1`
9×	`rec-exp` `1-exp` `associate-l`
8×	`associate-*l/` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-unprod`
5×	`cbrt-undiv` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`pow-flip` `associate-*r/` `un-div-inv` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 126

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
30.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
30.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
139.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
235.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	655	2096
1	3247	1773
2	5001	1748

prune143.0ms

Filtered

82 candidates to 138 candidates (-68.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	138	11	149

Merged error: 27.9b

Counts

149 → 11

regimes1.2s

Accuracy

0% (1.3b remaining)

Error of 29.2b against oracle of 27.9b and baseline of 29.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	18
1	47	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

711.0ms

8247×

body

valid

Details

sample108.0ms

simplify100.0ms

prune9.0ms

localize21.0ms

rewrite50.0ms

series176.0ms

simplify63.0ms

prune238.0ms

localize25.0ms

rewrite57.0ms

series242.0ms

simplify109.0ms

prune193.0ms

localize22.0ms

rewrite73.0ms

series392.0ms

simplify94.0ms

prune250.0ms

localize24.0ms

rewrite81.0ms

series398.0ms

simplify84.0ms

prune143.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

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