Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

282×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

prune2.0ms

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: 2.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.1b	(* (/ (- x y) (- z y)) t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

13.0ms	(/ (- x y) (- z y))
12.0ms	(* (/ (- x y) (- z y)) t)

series144.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- x y) (- z y))
98.0ms	(* (/ (- x y) (- z y)) t)

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	369	669
1	1149	628
2	4661	627
3	5001	627

prune212.0ms

Filtered

112 candidates to 76 candidates (67.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
2.1b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ 1 (- z y))
13.0ms	(* (- x y) (/ 1 (- z y)))
12.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series186.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- z y))
46.0ms	(* (- x y) (/ 1 (- z y)))
102.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	402	702
1	1906	585
2	5003	543

prune186.0ms

Filtered

134 candidates to 79 candidates (59.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	133	9	142

Merged error: 0.0b

Counts

142 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.5b	(cbrt (/ (- x y) (- z y)))
3.5b	(cbrt (/ (- x y) (- z y)))
3.5b	(cbrt (/ (- x y) (- z y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

38.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
303.0ms	(cbrt (/ (- x y) (- z y)))
309.0ms	(cbrt (/ (- x y) (- z y)))
307.0ms	(cbrt (/ (- x y) (- z y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	556	3688
1	1791	3618
2	5001	3416

prune682.0ms

Filtered

296 candidates to 188 candidates (63.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	295	10	305

Merged error: 0.0b

Counts

305 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (/ 1 (- z y)))
3.5b	(cbrt (/ (- x y) (- z y)))
3.5b	(cbrt (/ (- x y) (- z y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
84×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`

Counts

4 → 133

Calls

4 calls:

3.0ms	(cbrt (- x y))
5.0ms	(cbrt (/ 1 (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
11.0ms	(cbrt (/ (- x y) (- z y)))

series908.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- x y))
143.0ms	(cbrt (/ 1 (- z y)))
311.0ms	(cbrt (/ (- x y) (- z y)))
304.0ms	(cbrt (/ (- x y) (- z y)))

simplify110.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	528	1279
1	1225	1248
2	4519	1205
3	5001	1202

prune444.0ms

Filtered

145 candidates to 109 candidates (75.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	145	10	155

Merged error: 0.0b

Counts

155 → 10

regimes254.0ms

Accuracy

-3.1% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch75.0ms

Steps

Iters	Range		Point
9	1.945335540830034e-99	4.100557833456084e-92	2.039854282353223e-95
9	-9.055069382183989e-119	-1.0049129365648114e-125	-1.101611839921805e-119

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample501.0ms

Algorithm

intervals

Results

271.0ms

8705×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4