Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

338×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.9b	(* (- y x) (/ z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) (/ z t)))
51.0ms	(* (- y x) (/ z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune160.0ms

Filtered

62 candidates to 47 candidates (75.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
3.3b	(* (cbrt (- y x)) (/ z t))
3.5b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 160

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
17.0ms	(* (cbrt (- y x)) (/ z t))
51.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (- y x))
161.0ms	(cbrt (- y x))
212.0ms	(* (cbrt (- y x)) (/ z t))
51.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	817	2098
1	2698	1903
2	5003	1841

prune454.0ms

Filtered

172 candidates to 107 candidates (62.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
1.7b	(* (cbrt (- y x)) (* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t))))
2.0b	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t)))
3.3b	(* (cbrt (- y x)) (/ z t))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

138×	`cbrt-div`
100×	`frac-times`
69×	`flip3--` `flip--`
50×	`associate-*r/`
36×	`add-sqr-sqrt` `associate-*l/`
32×	`add-exp-log`
26×	`*-un-lft-identity`
24×	`associate-l`
22×	`cbrt-prod`
20×	`pow1`
18×	`add-cube-cbrt`
16×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
15×	`associate-r`
11×	`times-frac`
10×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`pow1/3` `div-inv`

Counts

4 → 189

Calls

4 calls:

2.0ms	(cbrt (- y x))
84.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t))))
29.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t)))
17.0ms	(* (cbrt (- y x)) (/ z t))

series588.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (- y x))
51.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t))))
152.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t)))
218.0ms	(* (cbrt (- y x)) (/ z t))

simplify92.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	842	2417
1	2980	2296
2	5002	2189

prune541.0ms

Filtered

201 candidates to 127 candidates (63.2%)

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 (- y x))
0.7b	(/ (* (cbrt (- y x)) z) t)
1.7b	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t)))
2.0b	(* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

2.0ms	(cbrt (- y x))
6.0ms	(/ (* (cbrt (- y x)) z) t)
57.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t)))
25.0ms	(* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t))

series581.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (- y x))
210.0ms	(/ (* (cbrt (- y x)) z) t)
51.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t)))
156.0ms	(* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	612	1361
1	2471	1253
2	5002	1166

prune397.0ms

Filtered

139 candidates to 101 candidates (72.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample529.0ms

Algorithm

intervals

Results

271.0ms

10669×

body

valid