Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

338×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `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 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune120.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite79.0ms

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×	`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 → 152

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
16.0ms	(* (cbrt (- y x)) (/ z t))
48.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- y x))
146.0ms	(cbrt (- y x))
189.0ms	(* (cbrt (- y x)) (/ z t))
46.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1859
2	5001	1806

prune386.0ms

Filtered

164 candidates to 99 candidates (60.4%)

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))

rewrite136.0ms

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×	`distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`pow1/3` `div-inv`

Counts

4 → 181

Calls

4 calls:

2.0ms	(cbrt (- y x))
78.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t))))
27.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t)))
16.0ms	(* (cbrt (- y x)) (/ z t))

series526.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- y x))
41.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t))))
152.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ z t)))
190.0ms	(* (cbrt (- y x)) (/ z t))

simplify85.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	827	2364
1	2933	2245
2	5002	2143

prune467.0ms

Filtered

193 candidates to 119 candidates (61.7%)

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))

rewrite89.0ms

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×	`pow-prod-down` `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 → 119

Calls

4 calls:

2.0ms	(cbrt (- y x))
6.0ms	(/ (* (cbrt (- y x)) z) t)
54.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t)))
23.0ms	(* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t))

series512.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- y x))
190.0ms	(/ (* (cbrt (- y x)) z) t)
45.0ms	(* (cbrt (- y x)) (* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t)))
131.0ms	(* (cbrt (- y x)) (/ (* (cbrt (- y x)) z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	597	1308
1	2424	1200
2	5001	1114

prune351.0ms

Filtered

131 candidates to 93 candidates (71.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes161.0ms

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	15	6
1	15	6

end0.0ms

sample558.0ms

Algorithm

intervals

Results

278.0ms

10669×

body

valid