Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

271×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	8
1	43	8
2	75	8
3	120	8
4	156	8
5	189	8
6	265	8
7	451	8
8	1023	8
9	3632	8
10	5001	8

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: 27.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
26.3b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
44×	`associate-+r+`
33×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `sub-neg`
5×	`associate-r`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

5.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- t a))
6.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (* z (- b y)))
40.0ms	(* z (- t a))
41.0ms	(+ (* x y) (* z (- t a)))
321.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify75.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	608	1288
1	2360	956
2	5001	942

prune466.0ms

Filtered

165 candidates to 109 candidates (66.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	154	11	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	11	166

Merged error: 26.4b

Counts

166 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
0.9b	(/ 1 (fma (- b y) z y))
25.6b	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`flip3-+` `associate-r/` `associate-/r` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `fma-def` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

7.0ms	(* z (- t a))
6.0ms	(+ (* x y) (* z (- t a)))
3.0ms	(/ 1 (fma (- b y) z y))
9.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
46.0ms	(+ (* x y) (* z (- t a)))
93.0ms	(/ 1 (fma (- b y) z y))
332.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	533	1248
1	2155	961
2	5001	930

prune396.0ms

Filtered

169 candidates to 99 candidates (58.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	169	11	180

Merged error: 26.4b

Counts

180 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
26.3b	(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
10.0ms	(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
185.0ms	(cbrt t)
204.0ms	(cbrt t)
1.3s	(/ (+ (* x y) (+ (* z (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* a 1)))) (* z (fma (- a) 1 a)))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	272	1027
1	1055	931
2	5001	907

prune407.0ms

Filtered

84 candidates to 72 candidates (85.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	11	95

Merged error: 26.4b

Counts

95 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

11.1b	(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))
20.4b	(cbrt (+ (* x y) (* z (- t a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/r*`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 90

Calls

4 calls:

9.0ms	(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

427.0ms	(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
157.0ms	(cbrt (+ (* x y) (* z (- t a))))
154.0ms	(cbrt (+ (* x y) (* z (- t a))))
380.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify121.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	413	1289
1	1269	1204
2	4609	1153
3	5001	1153

prune405.0ms

Filtered

102 candidates to 99 candidates (97.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	102	11	113

Merged error: 26.4b

Counts

113 → 11

regimes446.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample648.0ms

Algorithm

intervals

Results

357.0ms

8422×

body

valid