Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
5.5b	(/ x (/ (* z (- y t)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

25.0ms	(* z (- y t))
14.0ms	(/ x (/ (* z (- y t)) 2.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (- y t))
43.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	353	467
1	1535	417
2	5001	414

prune175.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.4b	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

536×	`times-frac`
421×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
225×	`cbrt-prod`
223×	`add-cube-cbrt`
137×	`associate-l`
119×	`associate-r`
40×	`add-exp-log`
35×	`unswap-sqr`
25×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
14×	`div-inv`
9×	`prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 354

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
285.0ms	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
174.0ms	(cbrt x)
181.0ms	(cbrt x)
68.0ms	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

366 → 366

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1657	4308
1	5002	4200

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.3b	(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

376×	`add-exp-log`
198×	`div-exp`
134×	`prod-exp`
130×	`add-cbrt-cube`
122×	`cbrt-undiv`
86×	`cbrt-unprod`
60×	`times-frac`
47×	`associate-l`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`cbrt-prod`
20×	`1-exp`
9×	`pow1`
7×	`div-inv`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-r` `associate-/r/` `*-commutative`

Counts

4 → 198

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
174.0ms	(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
184.0ms	(cbrt x)
178.0ms	(cbrt x)
51.0ms	(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1150	3675
1	5002	2620

prune588.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.8b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

16.0ms	(/ x (/ (- y t) 2.0))
65.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (/ (- y t) 2.0))
49.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	915	1676
1	4280	1508
2	5001	1501

prune478.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

31.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 4.2b

bsearch85.0ms

Steps

Iters	Range		Point
11	1.2979253516218341e-108	4.892481330765819e-88	4.68254886014513e-88
10	-2.239848575624568e-140	-2.141684871670345e-153	-2.0143432420500498e-140

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample567.0ms

Algorithm

intervals

Results

254.0ms

8751×

body

valid