Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	288×	body	80	nan

simplify17.0ms

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

prune40.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))
0.0b	(/ (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:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series170.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
52.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (14.0ms)

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

prune346.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
18.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

series195.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
73.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
82.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune655.0ms

Filtered

365 candidates to 205 candidates (56.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r` `associate-/r` `associate-/l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 126

Calls

4 calls:

2.0ms	(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
2.0ms	(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
7.0ms	(* (/ x (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
10.0ms	(* (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

series305.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
58.0ms	(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
93.0ms	(* (/ x (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
63.0ms	(* (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

simplify58.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	458	1050
1	1791	942
2	5001	921

prune364.0ms

Filtered

138 candidates to 110 candidates (79.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(/ (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) (/ 1 6.0))
0.1b	(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

770×	`times-frac`
445×	`add-sqr-sqrt` `*-un-lft-identity`
341×	`add-cube-cbrt`
304×	`exp-prod`
300×	`log-pow`
52×	`distribute-lft-out--` `difference-of-squares`
42×	`div-inv`
28×	`associate-/l*`
19×	`pow1`
16×	`associate-/r*`
15×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`div-exp`
5×	`div-sub` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `exp-diff`
2×	`log-div` `frac-2neg` `clear-num` `associate-/l/`
1×	`rec-exp` `flip3--` `1-exp` `rem-log-exp` `associate-/r/` `flip--` `rem-exp-log`

Counts

4 → 459

Calls

4 calls:

8.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
11.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
48.0ms	(/ (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) (/ 1 6.0))
12.0ms	(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
106.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
82.0ms	(/ (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) (/ 1 6.0))
78.0ms	(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1622	7189
1	5001	6611

prune900.0ms

Filtered

471 candidates to 265 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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	15	11
1	15	11

end0.0ms

sample633.0ms

Algorithm

intervals

Results

245.0ms	8000×	body	80	valid
209.0ms	8031×	body	80	nan