Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.8b	(* (/ (- x y) (- z y)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

15.0ms	(/ (- x y) (- z y))
25.0ms	(* (/ (- x y) (- z y)) t)

series143.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- x y) (- z y))
97.0ms	(* (/ (- x y) (- z y)) t)

simplify99.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	369	669
1	1149	628
2	4661	627
3	5001	627

prune239.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))

series581.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
148.0ms	(cbrt (- z y))
152.0ms	(cbrt (- z y))
152.0ms	(cbrt (- z y))

simplify154.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	270	790
1	946	753
2	4635	700
3	5001	694

prune388.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
1.8b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ 1 (- z y))
25.0ms	(* (- x y) (/ 1 (- z y)))
36.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series186.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z y))
52.0ms	(* (- x y) (/ 1 (- z y)))
100.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	402	702
1	1906	585
2	5003	543

prune244.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

67.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
5.0ms	(cbrt (/ (- x y) (- z y)))
5.0ms	(cbrt (/ (- x y) (- z y)))
6.0ms	(cbrt (/ (- x y) (- z y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
298.0ms	(cbrt (/ (- x y) (- z y)))
481.0ms	(cbrt (/ (- x y) (- z y)))
306.0ms	(cbrt (/ (- x y) (- z y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	556	3688
1	1791	3618
2	5001	3416

prune753.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample429.0ms

Algorithm

intervals

Results

220.0ms

8731×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4