Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
10.0ms	281×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune6.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
10.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
49.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
81.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune300.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
7.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
70.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	357	827
1	1182	752
2	5001	738

prune192.0ms

Filtered

99 candidates to 77 candidates (77.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
0.1b	(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
107×	`times-frac`
94×	`cbrt-prod`
73×	`add-cube-cbrt`
59×	`unpow-prod-down` `cube-prod`
47×	`associate-l`
22×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
5×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 227

Calls

4 calls:

20.0ms	(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
8.0ms	(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
7.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
8.0ms	(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

series370.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
87.0ms	(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
76.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
106.0ms	(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

simplify127.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	634	2404
1	2765	2269
2	5002	2250

prune385.0ms

Filtered

239 candidates to 132 candidates (55.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	239	4	243

Merged error: 0b

Counts

243 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
17×	`add-cbrt-cube`
13×	`associate-l`
12×	`prod-exp`
9×	`pow1`
6×	`div-exp` `cbrt-unprod`
5×	`associate-*l/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `flip--` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r` `clear-num` `*-commutative` `fma-udef` `inv-pow`

Counts

3 → 86

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
11.0ms	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
61.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
82.0ms	(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	409	751
1	1872	629
2	5002	607

prune145.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample792.0ms

Algorithm

intervals

Results

312.0ms	8000×	body	80	valid
287.0ms	8286×	body	80	nan