Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 23.9b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
23.0b	(/ (+ (* 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 (- b y))
6.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- b y))
33.0ms	(* z (- t a))
42.0ms	(+ (* x y) (* z (- t a)))
345.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

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

prune283.0ms

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: 23.2b

Counts

111 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (+ y (* z (- b y))))
0.5b	(+ (* x y) (* z (- t a)))
22.7b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
79.0ms	(/ 1 (+ y (* z (- b y))))
42.0ms	(+ (* x y) (* z (- t a)))
303.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	448	955
1	2212	847
2	5002	821

prune248.0ms

Filtered

128 candidates to 75 candidates (58.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	126	12	138

Merged error: 23.2b

Counts

138 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b	(+ (* x y) (* z (- t a)))
23.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

6.0ms	(* z (- t a))
8.0ms	(/ 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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- t a))
816.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
42.0ms	(+ (* x y) (* z (- t a)))
255.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify77.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	570	2052
1	2752	1879
2	5001	1791

prune316.0ms

Filtered

168 candidates to 94 candidates (56.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	168	12	180

Merged error: 23.2b

Counts

180 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

15.5b	(cbrt (* z (- t a)))
15.5b	(cbrt (* z (- t a)))
15.5b	(cbrt (* z (- t a)))
23.0b	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

rewrite22.0ms

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:

5.0ms	(cbrt (* z (- t a)))
4.0ms	(cbrt (* z (- t a)))
4.0ms	(cbrt (* z (- t a)))
7.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series844.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (* z (- t a)))
160.0ms	(cbrt (* z (- t a)))
159.0ms	(cbrt (* z (- t a)))
362.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify103.0ms

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

prune252.0ms

Filtered

76 candidates to 65 candidates (85.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	76	12	88

Merged error: 23.2b

Counts

88 → 12

regimes405.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample711.0ms

Algorithm

intervals

Results

430.0ms

8428×

body

valid

Details

sample27.0ms

simplify113.0ms

prune3.0ms

localize12.0ms

rewrite25.0ms

series454.0ms

simplify51.0ms

prune283.0ms

localize16.0ms

rewrite27.0ms

series458.0ms

simplify61.0ms

prune248.0ms

localize13.0ms

rewrite31.0ms

series1.1s

simplify77.0ms

prune316.0ms

localize19.0ms

rewrite22.0ms

series844.0ms

simplify103.0ms

prune252.0ms

regimes405.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample711.0ms

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