Details

sample44.0ms

Algorithm

intervals

Results

29.0ms	338×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite978.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

63.0ms	(+ (+ (+ y z) z) y)
241.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(+ (+ y z) z)
658.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series182.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ (+ y z) z) y)
64.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
33.0ms	(+ (+ y z) z)
45.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

1.2s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
146.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
148.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
148.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.4s

Counts

4 → 12

Calls

4 calls:

457.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
332.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
316.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
322.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.9b	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

rewrite733.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

147.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
146.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
146.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
291.0ms	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

series1.6s

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
327.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
333.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
586.0ms	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	423	1329
1	1384	1256
2	5002	1225

prune389.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.0b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `sqrt-div`
13×	`associate-r`
10×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 113

Calls

4 calls:

675.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
292.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
291.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
1.2s	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
551.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
549.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
74.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	415	1524
1	1982	1351
2	5001	1315

prune287.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

860.0ms	10656×	body	80	valid
33.0ms	96×	body	1280	valid
30.0ms	113×	body	640	valid
10.0ms	51×	body	320	valid
6.0ms	40×	body	160	valid