Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify112.0ms

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.7b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite42.0ms

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:

6.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
18.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series952.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ x y) z)
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
124.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
743.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune544.0ms

Filtered

102 candidates to 74 candidates (27.5%)

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: 9.1b

Counts

103 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
6.7b	(/ (* y b) (+ (+ x t) y))
23.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite36.0ms

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:

5.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series446.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(/ (* y b) (+ (+ x t) y))
269.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5001	922

prune638.0ms

Filtered

118 candidates to 83 candidates (29.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	119	10	129

Merged error: 6.7b

Counts

129 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
9.8b	(* y (/ b (+ (+ x t) y)))
23.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
16×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

7.0ms	(/ b (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series464.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ b (+ (+ x t) y))
59.0ms	(+ (* (+ x y) z) (* (+ t y) a))
90.0ms	(* y (/ b (+ (+ x t) y)))
267.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune797.0ms

Filtered

147 candidates to 99 candidates (32.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	147	10	157

Merged error: 4.4b

Counts

157 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
10.3b	(/ y (/ (+ (+ x t) y) b))
23.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite42.0ms

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:

5.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(/ y (/ (+ (+ x t) y) b))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series534.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
179.0ms	(/ y (/ (+ (+ x t) y) b))
270.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	741	1673
1	3484	1591
2	5001	1590

prune1.2s

Filtered

185 candidates to 123 candidates (33.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	185	10	195

Merged error: 4.4b

Counts

195 → 10

regimes1.0s

Accuracy

58.6% (9.0b remaining)

Error of 12.1b against oracle of 3.1b and baseline of 24.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	43
1	38	43

end0.0ms

sample849.0ms

Algorithm

intervals

Results

401.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Details

sample37.0ms

simplify112.0ms

prune6.0ms

localize16.0ms

rewrite42.0ms

series952.0ms

simplify64.0ms

prune544.0ms

localize20.0ms

rewrite36.0ms

series446.0ms

simplify64.0ms

prune638.0ms

localize19.0ms

rewrite43.0ms

series464.0ms

simplify85.0ms

prune797.0ms

localize15.0ms

rewrite42.0ms

series534.0ms

simplify85.0ms

prune1.2s

regimes1.0s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample849.0ms

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