Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

277×

body

valid

simplify56.0ms

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: 2.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.6b	(* (/ (- x y) (- z y)) t)

rewrite41.0ms

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:

11.0ms	(/ (- x y) (- z y))
26.0ms	(* (/ (- x y) (- z y)) t)

series149.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- x y) (- z y))
97.0ms	(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (29.0ms)

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

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
2.6b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite70.0ms

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` `rec-exp` `1-exp` `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 → 119

Calls

3 calls:

6.0ms	(/ 1 (- z y))
24.0ms	(* (- x y) (/ 1 (- z y)))
35.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series186.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- z y))
52.0ms	(* (- x y) (/ 1 (- z y)))
98.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	392	675
1	1893	558
2	5001	516

prune216.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
1.6b	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
37×	`associate-r`
34×	`add-exp-log`
26×	`times-frac`
21×	`add-cbrt-cube`
19×	`add-cube-cbrt`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-prod` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`pow1/3` `associate-r/` `associate-l` `associate-/r/` `-commutative` `unswap-sqr`
1×	`flip3--` `associate-*l/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
68.0ms	(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
37.0ms	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
188.0ms	(cbrt t)
107.0ms	(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
236.0ms	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	439	914
1	2427	690
2	5003	638

prune257.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.0b	(* (cbrt t) (/ (- x y) (- z y)))
1.9b	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- x y) (- z y))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
30.0ms	(* (cbrt t) (/ (- x y) (- z y)))
33.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- x y) (- z y))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
184.0ms	(cbrt t)
177.0ms	(* (cbrt t) (/ (- x y) (- z y)))
92.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- x y) (- z y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	382	805
1	1795	651
2	5002	619

prune229.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

-1.7% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch81.0ms

Steps

Iters	Range		Point
9	7.60506490158311e-42	6.465754957999803e-34	3.5231411634558426e-34
9	3.6431032437792455e-271	7.280527982293545e-266	8.746904515881534e-269

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample753.0ms

Algorithm

intervals

Results

527.0ms

8731×

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