Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

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: 3.7b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
6.5b	(/ t (* (* z 3.0) y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

279×	`add-sqr-sqrt`
212×	`times-frac`
202×	`*-un-lft-identity`
195×	`add-cube-cbrt`
144×	`associate-l`
122×	`associate-+l+`
120×	`prod-diff`
81×	`associate-r`
78×	`associate-/r*`
56×	`frac-add`
42×	`unswap-sqr`
28×	`flip3--` `flip--`
27×	`*-commutative`
23×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
9×	`pow1` `add-log-exp`
7×	`fma-def` `prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u`
3×	`pow-prod-down` `difference-of-squares`
2×	`sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 411

Calls

4 calls:

66.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms	(/ y (* z 3.0))
8.0ms	(* (* z 3.0) y)
13.0ms	(/ t (* (* z 3.0) y))

series155.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
31.0ms	(/ t (* (* z 3.0) y))

simplify106.0ms

Algorithm

egg-herbie

Counts

423 → 423

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	1849	5462
1	5001	5023

prune1.4s

Filtered

423 candidates to 340 candidates (80.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	417	6	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	6	424

Merged error: 0b

Counts

424 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
0.2b	(/ y (* z 3.0))
7.0b	(/ (/ t z) (* 3.0 y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

437×	`times-frac`
361×	`add-sqr-sqrt`
301×	`*-un-lft-identity`
294×	`add-cube-cbrt`
122×	`associate-+l+`
120×	`prod-diff`
87×	`associate-r` `associate-l`
74×	`frac-add`
57×	`associate-/r*`
51×	`associate-/l*`
37×	`flip3--` `flip--`
30×	`unswap-sqr`
29×	`*-commutative`
27×	`associate-/l/`
20×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`fma-def` `frac-2neg` `clear-num`
3×	`pow1` `expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares`
2×	`sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

3 → 497

Calls

3 calls:

96.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
7.0ms	(/ y (* z 3.0))
13.0ms	(/ (/ t z) (* 3.0 y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
20.0ms	(/ y (* z 3.0))
39.0ms	(/ (/ t z) (* 3.0 y))

simplify135.0ms

Algorithm

egg-herbie

Counts

506 → 506

Iterations

Useful iterations: 1 (65.0ms)

Iter	Nodes	Cost
0	2531	6929
1	5003	6565

prune1.7s

Filtered

506 candidates to 402 candidates (79.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	504	2	506
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	507	5	512

Merged error: 0b

Counts

512 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(/ y (* z (* (cbrt 3.0) (cbrt 3.0))))
0.3b	(/ (/ y (* z (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
7.0b	(/ (/ t z) (* 3.0 y))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

2145×	`times-frac`
1908×	`add-sqr-sqrt`
1070×	`add-cube-cbrt` `*-un-lft-identity`
1005×	`cbrt-prod`
933×	`associate-r`
473×	`unswap-sqr`
285×	`associate-l`
216×	`swap-sqr`
158×	`associate-/l*`
109×	`associate-/r*`
95×	`*-commutative`
86×	`add-cbrt-cube`
59×	`associate-/l/`
44×	`add-exp-log`
38×	`cbrt-undiv` `cbrt-unprod`
23×	`div-inv`
16×	`div-exp`
11×	`prod-exp`
9×	`pow1`
5×	`frac-2neg` `clear-num`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`

Counts

4 → 1506

Calls

4 calls:

15.0ms	(* z (* (cbrt 3.0) (cbrt 3.0)))
24.0ms	(/ y (* z (* (cbrt 3.0) (cbrt 3.0))))
66.0ms	(/ (/ y (* z (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
13.0ms	(/ (/ t z) (* 3.0 y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* z (* (cbrt 3.0) (cbrt 3.0)))
129.0ms	(/ y (* z (* (cbrt 3.0) (cbrt 3.0))))
101.0ms	(/ (/ y (* z (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
31.0ms	(/ (/ t z) (* 3.0 y))

simplify297.0ms

Algorithm

egg-herbie

Counts

1518 → 1518

Iterations

Useful iterations: 1 (89.0ms)

Iter	Nodes	Cost
0	4425	19820
1	5001	19578

prune5.5s

Filtered

1518 candidates to 1051 candidates (69.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1518	0	1518
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	1518	5	1523

Merged error: 0b

Counts

1523 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ (/ y 3.0) z)) (/ t (* (* z 3.0) y)))
0.2b	(/ (/ y 3.0) z)
0.4b	(* (* z 3.0) y)
6.5b	(/ t (* (* z 3.0) y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

342×	`times-frac`
314×	`add-sqr-sqrt`
263×	`*-un-lft-identity`
256×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
105×	`associate-l`
72×	`associate-/r*`
56×	`frac-add`
42×	`associate-r`
28×	`flip3--` `flip--` `unswap-sqr`
25×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
18×	`div-inv`
14×	`*-commutative`
9×	`pow1` `associate-/l/` `add-log-exp`
7×	`fma-def`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`frac-2neg` `clear-num`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-prod-down` `difference-of-squares`
2×	`sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 433

Calls

4 calls:

66.0ms	(+ (- x (/ (/ y 3.0) z)) (/ t (* (* z 3.0) y)))
8.0ms	(/ (/ y 3.0) z)
8.0ms	(* (* z 3.0) y)
13.0ms	(/ t (* (* z 3.0) y))

series158.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (- x (/ (/ y 3.0) z)) (/ t (* (* z 3.0) y)))
26.0ms	(/ (/ y 3.0) z)
22.0ms	(* (* z 3.0) y)
31.0ms	(/ t (* (* z 3.0) y))

simplify116.0ms

Algorithm

egg-herbie

Counts

445 → 445

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2075	6277
1	5002	5884

prune1.6s

Filtered

445 candidates to 376 candidates (84.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	443	2	445
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	445	5	450

Merged error: 0b

Counts

450 → 5

regimes166.0ms

Accuracy

78.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	17
1	35	17

end0.0ms

sample669.0ms

Algorithm

intervals

Results

387.0ms

11160×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7