Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	271	3
10	503	3
11	1614	3
12	5001	3

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

8.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series56.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify93.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	178
1	756	163
2	3757	163
3	5001	163

prune54.0ms

Filtered

48 candidates to 31 candidates (35.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series766.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
184.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune142.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (+ z x)))
0.2b	(* (* y (+ z x)) (* y (+ z x)))
4.1b	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
25.7b	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

1663×	`add-sqr-sqrt`
603×	`unswap-sqr`
593×	`*-un-lft-identity`
525×	`difference-of-squares`
406×	`times-frac`
260×	`swap-sqr`
210×	`distribute-lft-out--`
204×	`associate-l`
131×	`*-commutative`
83×	`add-cube-cbrt`
58×	`associate-/l*`
43×	`pow1`
33×	`associate-r`
26×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate--r+`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
14×	`+-commutative` `associate-*r/`
9×	`div-sub`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 685

Calls

4 calls:

8.0ms	(- x (* y (+ z x)))
18.0ms	(* (* y (+ z x)) (* y (+ z x)))
50.0ms	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
72.0ms	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (* y (+ z x)))
32.0ms	(* (* y (+ z x)) (* y (+ z x)))
82.0ms	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
137.0ms	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

simplify130.0ms

Algorithm

egg-herbie

Counts

697 → 697

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1288	9475
1	5001	9361

prune418.0ms

Filtered

697 candidates to 173 candidates (75.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	696	1	697
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	696	4	700

Merged error: 0b

Counts

700 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y (+ z x)) (* y (+ z x)))
0.2b	(* (* y (+ z x)) (* y (+ z x)))
23.0b	(sqrt (* (* y (+ z x)) (* y (+ z x))))
23.0b	(sqrt (* (* y (+ z x)) (* y (+ z x))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
162×	`pow1`
132×	`associate-r`
126×	`*-un-lft-identity`
108×	`associate-l`
104×	`sqrt-prod`
72×	`swap-sqr`
68×	`pow-prod-down` `unswap-sqr`
56×	`associate-*r/`
54×	`add-cube-cbrt`
32×	`sqrt-pow1`
28×	`add-exp-log` `add-cbrt-cube`
24×	`flip3-+` `flip-+` `distribute-lft-out`
22×	`*-commutative`
18×	`rem-sqrt-square`
16×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-div` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
8×	`+-commutative` `pow-plus` `associate-*l/`
4×	`pow2` `add-log-exp`
2×	`pow1/2`

Counts

4 → 374

Calls

4 calls:

18.0ms	(* (* y (+ z x)) (* y (+ z x)))
22.0ms	(* (* y (+ z x)) (* y (+ z x)))
21.0ms	(sqrt (* (* y (+ z x)) (* y (+ z x))))
21.0ms	(sqrt (* (* y (+ z x)) (* y (+ z x))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* y (+ z x)) (* y (+ z x)))
32.0ms	(* (* y (+ z x)) (* y (+ z x)))
25.0ms	(sqrt (* (* y (+ z x)) (* y (+ z x))))
32.0ms	(sqrt (* (* y (+ z x)) (* y (+ z x))))

simplify130.0ms

Algorithm

egg-herbie

Counts

386 → 386

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	552	2376
1	3826	2212
2	5002	2142

prune558.0ms

Filtered

386 candidates to 182 candidates (52.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	386	0	386
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	386	4	390

Merged error: 0b

Counts

390 → 4

regimes73.0ms

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	9	3
1	9	3

end0.0ms

sample402.0ms

Algorithm

intervals

Results

199.0ms

10172×

body

valid