Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
6.1b	(/ x (/ (* z (- y t)) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`times-frac`
35×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`pow1` `associate-r`
4×	`associate-r/` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 121

Calls

3 calls:

10.0ms	(/ (* z (- y t)) 2.0)
12.0ms	(* z (- y t))
6.0ms	(/ x (/ (* z (- y t)) 2.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (* z (- y t)) 2.0)
33.0ms	(* z (- y t))
47.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	498	867
1	2215	667
2	5001	667

prune243.0ms

Pruning

10 alts after pruning (10 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)
4.1b	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite273.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 362

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
242.0ms	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
175.0ms	(cbrt x)
173.0ms	(cbrt x)
73.0ms	(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

374 → 374

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1661	4340
1	5002	4232

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(/ 1 (/ z (cbrt x)))
1.0b	(* (cbrt x) (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
2.6b	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

554×	`times-frac`
420×	`add-sqr-sqrt`
288×	`*-un-lft-identity`
237×	`add-cube-cbrt`
194×	`add-exp-log`
150×	`cbrt-prod`
120×	`associate-r`
91×	`div-exp`
77×	`associate-l`
64×	`prod-exp`
63×	`add-cbrt-cube`
39×	`cbrt-undiv`
35×	`unswap-sqr`
28×	`cbrt-unprod`
22×	`associate-/r*`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`div-inv`
14×	`rec-exp` `1-exp`
12×	`pow1`
5×	`associate-*r/`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `associate-l/` `-commutative`
1×	`pow-flip` `frac-2neg` `pow1/3` `clear-num` `inv-pow`

Counts

4 → 450

Calls

4 calls:

0.0ms	(cbrt x)
7.0ms	(/ 1 (/ z (cbrt x)))
66.0ms	(* (cbrt x) (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
170.0ms	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
65.0ms	(/ 1 (/ z (cbrt x)))
68.0ms	(* (cbrt x) (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
189.0ms	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1960	4901
1	5001	4589

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))
15.5b	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
15.5b	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
15.5b	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
342×	`add-sqr-sqrt`
210×	`*-un-lft-identity`
159×	`add-cube-cbrt`
119×	`associate-r`
111×	`cbrt-prod`
82×	`add-exp-log`
71×	`associate-l`
42×	`div-exp`
35×	`unswap-sqr`
31×	`add-cbrt-cube`
21×	`prod-exp`
18×	`cbrt-undiv` `distribute-lft-out--` `difference-of-squares`
11×	`div-inv`
9×	`cbrt-div` `cbrt-unprod`
6×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 311

Calls

4 calls:

333.0ms	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))
23.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
19.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
20.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))
334.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
334.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))
335.0ms	(cbrt (* (/ 1 (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

323 → 323

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1683	3834
1	5001	3608

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

28.8% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 4.0b

bsearch83.0ms

Steps

Iters	Range		Point
8	1.8078460056449616e+54	4.410176380362178e+58	2.935593716219581e+56
10	-8.397480597723212e+128	-1.861653160765663e+114	-1.8909326339281697e+114

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample483.0ms

Algorithm

intervals

Results

261.0ms

8704×

body

valid