Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	640	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

21.0ms

(* 500.0 (- x y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* 500.0 (- x y))

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

13.0ms	(* (sqrt 500.0) (- x y))
26.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (sqrt 500.0) (- x y))
99.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	346	1118
1	1516	738
2	5001	663

prune112.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
0.5b	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
0.5b	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
0.5b	(* (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))) (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

13.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
13.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
16.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
17.0ms	(* (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))) (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))))

series2.0s

Counts

4 → 12

Calls

4 calls:

493.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
500.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
503.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
490.0ms	(* (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))) (cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	316	1093
1	1078	989
2	5001	912

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
0.5b	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
0.5b	(cbrt (* (sqrt 500.0) (- x y)))
1.0b	(cbrt (sqrt 500.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
9×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `sqrt-prod` `flip--`

Counts

4 → 55

Calls

4 calls:

17.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
14.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
4.0ms	(cbrt (* (sqrt 500.0) (- x y)))
1.0ms	(cbrt (sqrt 500.0))

series1.4s

Counts

4 → 10

Calls

4 calls:

509.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
503.0ms	(cbrt (* (sqrt 500.0) (* (sqrt 500.0) (- x y))))
353.0ms	(cbrt (* (sqrt 500.0) (- x y)))
0.0ms	(cbrt (sqrt 500.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	271	540
1	674	500
2	2325	483
3	5002	447

prune234.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes72.0ms

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	6	2
1	6	2

end0.0ms

sample244.0ms

Algorithm

intervals

Results

115.0ms	8051×	body	80	valid
1.0ms	19×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid