Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify58.0ms

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	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- x y) (- z y))
12.0ms	(* (/ (- x y) (- z y)) t)

series143.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- x y) (- z y))
93.0ms	(* (/ (- x y) (- z y)) t)

simplify94.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	360	653
1	1125	612
2	4528	611
3	5002	611

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1` `add-exp-log`
15×	`cbrt-div`
10×	`add-cbrt-cube`
9×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-/r/`
5×	`frac-times`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-*r/` `flip--` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 149

Calls

4 calls:

32.0ms	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series998.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
298.0ms	(cbrt (/ (- x y) (- z y)))
304.0ms	(cbrt (/ (- x y) (- z y)))
299.0ms	(cbrt (/ (- x y) (- z y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	445	1843
1	1226	1647
2	4946	1576
3	5001	1566

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.6b	(cbrt (- x y))
4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- x y))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series900.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- z y))
148.0ms	(cbrt (- x y))
305.0ms	(cbrt (/ (- x y) (- z y)))
301.0ms	(cbrt (/ (- x y) (- z y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	434	1088
1	964	1060
2	3198	1045
3	5002	1006

prune443.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))
4.5b	(cbrt (/ (- x y) (- z y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt` `*-un-lft-identity`
124×	`cbrt-prod`
100×	`times-frac`
48×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `div-inv` `add-log-exp`

Counts

4 → 160

Calls

4 calls:

7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt (/ (- x y) (- z y)))
315.0ms	(cbrt (/ (- x y) (- z y)))
308.0ms	(cbrt (/ (- x y) (- z y)))
308.0ms	(cbrt (/ (- x y) (- z y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	296	1772
1	635	1736
2	2162	1728
3	5001	1688

prune662.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample462.0ms

Algorithm

intervals

Results

241.0ms

8688×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	72	4
4	105	4
5	122	4
6	139	4
7	149	4
8	156	4
9	160	4
10	164	4
11	259	4
12	297	4
13	319	4
14	405	4
15	474	4
16	532	4
17	626	4
18	702	4
19	711	4
20	711	4