Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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 (100.0%)

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: 3.6b

Counts

2 → 1

localize16.0ms

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)
6.1b	(/ t (* (* z 3.0) y))

rewrite133.0ms

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:

72.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms	(/ y (* z 3.0))
9.0ms	(* (* z 3.0) y)
15.0ms	(/ t (* (* z 3.0) y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
26.0ms	(/ y (* z 3.0))
28.0ms	(* (* z 3.0) y)
48.0ms	(/ t (* (* z 3.0) y))

simplify140.0ms

Algorithm

egg-herbie

Counts

423 → 423

Iterations

Useful iterations: 1 (70.0ms)

Iter	Nodes	Cost
0	1841	5462
1	5002	5034

prune1.1s

Filtered

423 candidates to 345 candidates (18.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	415	8	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	416	8	424

Merged error: 0b

Counts

424 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
0.2b	(/ y (* z 3.0))
4.9b	(/ (/ t z) (* 3.0 y))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
496×	`add-sqr-sqrt`
411×	`*-un-lft-identity`
402×	`add-cube-cbrt`
240×	`prod-diff`
122×	`associate-+l+`
114×	`associate-r` `associate-l`
74×	`frac-add`
57×	`associate-/r*`
51×	`associate-/l*`
40×	`unswap-sqr`
38×	`flip3--` `*-commutative` `flip--`
27×	`associate-/l/`
23×	`div-inv`
21×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`fma-def` `frac-2neg` `clear-num`
6×	`difference-of-squares`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

4 → 638

Calls

4 calls:

23.0ms	(- x (/ y (* z 3.0)))
96.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
8.0ms	(/ y (* z 3.0))
14.0ms	(/ (/ t z) (* 3.0 y))

series214.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- x (/ y (* z 3.0)))
100.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
24.0ms	(/ y (* z 3.0))
47.0ms	(/ (/ t z) (* 3.0 y))

simplify219.0ms

Algorithm

egg-herbie

Counts

650 → 650

Iterations

Useful iterations: 1 (96.0ms)

Iter	Nodes	Cost
0	2875	10363
1	5001	9659

prune1.8s

Filtered

650 candidates to 469 candidates (27.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	645	5	650
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	651	7	658

Merged error: 0b

Counts

658 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z (* (cbrt 3.0) (cbrt 3.0))))
0.4b	(* (cbrt 3.0) y)
4.9b	(/ (/ t (* z (* (cbrt 3.0) (cbrt 3.0)))) (* (cbrt 3.0) y))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

4588×	`times-frac`
4247×	`add-sqr-sqrt`
2274×	`associate-r`
2007×	`add-cube-cbrt` `*-un-lft-identity`
1784×	`cbrt-prod`
1344×	`associate-l`
1232×	`unswap-sqr`
448×	`swap-sqr`
310×	`*-commutative`
145×	`associate-/l*`
116×	`associate-/r*`
111×	`add-cbrt-cube`
53×	`cbrt-unprod`
52×	`add-exp-log`
50×	`associate-/l/`
47×	`cbrt-undiv`
20×	`div-inv`
19×	`div-exp`
15×	`prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

4 → 2711

Calls

4 calls:

7.0ms	(/ y (* z 3.0))
31.0ms	(/ t (* z (* (cbrt 3.0) (cbrt 3.0))))
5.0ms	(* (cbrt 3.0) y)
93.0ms	(/ (/ t (* z (* (cbrt 3.0) (cbrt 3.0)))) (* (cbrt 3.0) y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ y (* z 3.0))
137.0ms	(/ t (* z (* (cbrt 3.0) (cbrt 3.0))))
54.0ms	(* (cbrt 3.0) y)
126.0ms	(/ (/ t (* z (* (cbrt 3.0) (cbrt 3.0)))) (* (cbrt 3.0) y))

simplify534.0ms

Algorithm

egg-herbie

Counts

2723 → 2723

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5001	44979

prune7.1s

Filtered

2723 candidates to 1756 candidates (35.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2722	1	2723
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	2724	6	2730

Merged error: 0b

Counts

2730 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* z 3.0))
0.2b	(/ y (* z 3.0))
0.3b	(* (/ y 3.0) (/ 1 z))
4.9b	(/ (/ t z) (* 3.0 y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
304×	`add-sqr-sqrt`
246×	`*-un-lft-identity`
243×	`add-cube-cbrt`
99×	`associate-/r*`
83×	`associate-/l*`
81×	`frac-times`
79×	`associate-r` `associate-l`
48×	`add-exp-log`
38×	`add-cbrt-cube`
28×	`unswap-sqr`
25×	`clear-num`
24×	`frac-2neg`
23×	`*-commutative`
18×	`div-exp` `div-inv`
14×	`cbrt-undiv`
12×	`prod-exp`
9×	`associate-r/` `associate-l/` `associate-/l/`
8×	`cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`rec-exp` `1-exp`
1×	`pow-prod-down`

Counts

4 → 501

Calls

4 calls:

8.0ms	(/ y (* z 3.0))
7.0ms	(/ y (* z 3.0))
15.0ms	(* (/ y 3.0) (/ 1 z))
13.0ms	(/ (/ t z) (* 3.0 y))

series105.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ y (* z 3.0))
28.0ms	(/ y (* z 3.0))
23.0ms	(* (/ y 3.0) (/ 1 z))
33.0ms	(/ (/ t z) (* 3.0 y))

simplify115.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 1 (62.0ms)

Iter	Nodes	Cost
0	1860	3229
1	5001	3066

prune1.5s

Filtered

513 candidates to 354 candidates (31.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	510	3	513
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	513	6	519

Merged error: 0b

Counts

519 → 6

regimes184.0ms

Accuracy

17.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.7b

bsearch55.0ms

Steps

Iters	Range		Point
7	9.836318346190953e+44	9.68838842709824e+46	1.3002993635535478e+45

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	26
1	60	26
2	64	26
3	88	26
4	108	26
5	133	26
6	165	26
7	193	26
8	204	26
9	204	26

end0.0ms

sample655.0ms

Algorithm

intervals

Results

378.0ms

11079×

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