Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

273×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	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: 23.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.9b	(+ (* x y) (* z (- t a)))
22.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`associate-+r+` `associate-*r/`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 98

Calls

4 calls:

6.0ms	(* z (- t a))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
40.0ms	(* z (- b y))
41.0ms	(+ (* x y) (* z (- t a)))
310.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune277.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	10	111

Merged error: 22.9b

Counts

111 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
22.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
11.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.3s

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (* z (- b y)))
959.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms	(+ (* x y) (* z (- t a)))
270.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify69.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	525	2046
1	2373	1868
2	5002	1780

prune284.0ms

Filtered

157 candidates to 88 candidates (56.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	156	11	167

Merged error: 22.9b

Counts

167 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt (* z (- t a)))
16.9b	(cbrt (* z (- t a)))
16.9b	(cbrt (* z (- t a)))
22.8b	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (* z (- t a)))
4.0ms	(cbrt (* z (- t a)))
4.0ms	(cbrt (* z (- t a)))
10.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (* z (- t a)))
158.0ms	(cbrt (* z (- t a)))
158.0ms	(cbrt (* z (- t a)))
371.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	320	1084
1	1044	986
2	3732	966
3	5001	960

prune266.0ms

Filtered

76 candidates to 65 candidates (85.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	76	11	87

Merged error: 22.9b

Counts

87 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

9.5b	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a))))))
19.5b	(cbrt (+ (* x y) (* z (- t a))))
19.5b	(cbrt (+ (* x y) (* z (- t a))))
19.5b	(cbrt (+ (* x y) (* z (- t a))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

17.0ms	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ 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))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a))))))
149.0ms	(cbrt (+ (* x y) (* z (- t a))))
146.0ms	(cbrt (+ (* x y) (* z (- t a))))
142.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	575	2591
1	2404	2415
2	5002	2299

prune432.0ms

Filtered

127 candidates to 109 candidates (85.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	127	11	138

Merged error: 22.9b

Counts

138 → 11

regimes390.0ms

Accuracy

0% (0.6b remaining)

Error of 23.1b against oracle of 22.4b and baseline of 23.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample701.0ms

Algorithm

intervals

Results

403.0ms

8436×

body

valid

Details

sample28.0ms

simplify123.0ms

prune3.0ms

localize11.0ms

rewrite25.0ms

series426.0ms

simplify54.0ms

prune277.0ms

localize12.0ms

rewrite30.0ms

series1.3s

simplify69.0ms

prune284.0ms

localize14.0ms

rewrite24.0ms

series847.0ms

simplify102.0ms

prune266.0ms

localize15.0ms

rewrite33.0ms

series771.0ms

simplify75.0ms

prune432.0ms

regimes390.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample701.0ms

Profiling