Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

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: 27.5b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series814.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
115.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
635.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5001	1025

prune289.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 11.5b

Counts

103 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
12.3b	(/ (* y b) (+ (+ x t) y))
20.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
19×	`distribute-lft-out`
18×	`add-cube-cbrt` `associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/l/` `add-log-exp`
4×	`associate-l` `associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series362.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ t y) a)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ (* y b) (+ (+ x t) y))
218.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify102.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune325.0ms

Filtered

118 candidates to 85 candidates (72.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 5.7b

Counts

129 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
4.6b	(* y (/ b (+ (+ x t) y)))
20.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(* y (/ b (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series373.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ t y) a)
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(* y (/ b (+ (+ x t) y)))
222.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	588	1063
1	2927	988
2	5003	988

prune339.0ms

Filtered

131 candidates to 93 candidates (71.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	130	13	143

Merged error: 3.0b

Counts

143 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
4.8b	(/ y (/ (+ (+ x t) y) b))
20.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
132×	`times-frac`
74×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
49×	`distribute-lft-out`
24×	`associate-/r*`
18×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
8×	`frac-add`
6×	`pow1` `div-inv` `associate-/l/` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l`
3×	`associate-r` `associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

14.0ms	(* (+ t y) a)
11.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(/ y (/ (+ (+ x t) y) b))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series460.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
140.0ms	(/ y (/ (+ (+ x t) y) b))
250.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	738	1671
1	3477	1591
2	5001	1590

prune434.0ms

Filtered

185 candidates to 126 candidates (68.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	187	11	198

Merged error: 3.0b

Counts

198 → 11

regimes543.0ms

Accuracy

54% (9.2b remaining)

Error of 12.3b against oracle of 3.1b and baseline of 23.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	36
1	43	36

end0.0ms

sample741.0ms

Algorithm

intervals

Results

442.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Details

sample29.0ms

simplify108.0ms

prune3.0ms

localize14.0ms

rewrite44.0ms

series814.0ms

simplify69.0ms

prune289.0ms

localize15.0ms

rewrite37.0ms

series362.0ms

simplify102.0ms

prune325.0ms

localize15.0ms

rewrite45.0ms

series373.0ms

simplify95.0ms

prune339.0ms

localize15.0ms

rewrite69.0ms

series460.0ms

simplify88.0ms

prune434.0ms

regimes543.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample741.0ms

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