Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify96.0ms

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: 26.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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

series766.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
604.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

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

prune312.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	12	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 9.0b

Counts

103 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

19.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
18.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

571.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
103.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune403.0ms

Filtered

188 candidates to 95 candidates (50.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	186	14	200

Merged error: 4.2b

Counts

200 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

7.0ms	(/ 1 (+ (+ x t) y))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
22.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (+ (+ x t) y))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
578.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	562	1271
1	2768	1148
2	5002	1106

prune304.0ms

Filtered

130 candidates to 77 candidates (59.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	10	12
Picked	0	1	1
Done	1	0	1
Total	131	13	144

Merged error: 4.2b

Counts

144 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.7b	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
2.5b	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
24.8b	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
12×	`associate-*l/` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
4×	`pow1` `frac-add`
3×	`cbrt-prod` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `pow1/3` `div-sub` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt z)
14.0ms	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
15.0ms	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
21.0ms	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt z)
156.0ms	(- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b))
102.0ms	(+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a))
625.0ms	(/ (- (+ (* (* (+ x y) (* (cbrt z) (cbrt z))) (cbrt z)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	517	1549
1	2335	1436
2	5001	1410

prune291.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	92	13	105

Merged error: 4.2b

Counts

105 → 13

regimes681.0ms

Accuracy

86% (3.1b remaining)

Error of 7.8b against oracle of 4.7b and baseline of 26.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	33
1	42	33

end0.0ms

sample609.0ms

Algorithm

intervals

Results

357.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid