Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

365×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(* y (- z x))
6.0ms	(/ (* y (- z x)) t)

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z x))
52.0ms	(/ (* y (- z x)) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	231	226
1	1033	189
2	5002	189

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z x))
5.0b	(/ y (/ t (- z x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ t (- z x))
9.0ms	(/ y (/ t (- z x)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ t (- z x))
54.0ms	(/ y (/ t (- z x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	481	1051
1	2190	1013
2	5001	1004

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z x))
6.4b	(/ (/ y t) (/ 1 (- z x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
384×	`add-sqr-sqrt` `*-un-lft-identity`
292×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
28×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 372

Calls

2 calls:

5.0ms	(/ 1 (- z x))
16.0ms	(/ (/ y t) (/ 1 (- z x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1 (- z x))
55.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1645	4160
1	5001	3758

prune705.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z x) t)
5.2b	(* y (/ (- z x) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

7.0ms	(/ (- z x) t)
14.0ms	(* y (/ (- z x) t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- z x) t)
52.0ms	(* y (/ (- z x) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	276	403
1	1172	372
2	5001	366

prune162.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

-7.6% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch68.0ms

Steps

Iters	Range		Point
8	1.5617882941333624e-171	1.0721695858475217e-168	1.0561959963379154e-168
7	-7.489805345129223e+37	-3.0986893724239846e+35	-5.798040130760684e+36

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample576.0ms

Algorithm

intervals

Results

286.0ms

10716×

body

valid