Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

396×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.5b	(* (* x 9.0) y)
6.2b	(* (* (* z 4.0) t) a)
16.6b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

7.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms	(* (* x 9.0) y)
23.0ms	(* (* (* z 4.0) t) a)
85.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series340.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
20.0ms	(* (* x 9.0) y)
30.0ms	(* (* (* z 4.0) t) a)
210.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune310.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.5b	(/ b (* z c))
4.8b	(/ (* a t) c)
8.1b	(/ (* x y) (* z c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
3.0ms	(/ (* a t) c)
4.0ms	(/ (* x y) (* z c))

series115.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ b (* z c))
19.0ms	(/ (* a t) c)
30.0ms	(/ (* x y) (* z c))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune305.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.5b	(/ b (* z c))
6.4b	(* a (/ t c))
8.1b	(/ (* x y) (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-l`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
7.0ms	(* a (/ t c))
6.0ms	(/ (* x y) (* z c))

series117.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 9.0 (/ (* x y) (* z c)))
26.0ms	(/ b (* z c))
20.0ms	(* a (/ t c))
30.0ms	(/ (* x y) (* z c))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	475	551
1	2583	432
2	5003	432

prune390.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.7b	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
4.5b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
31×	`add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`cbrt-undiv` `div-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `times-frac`
5×	`associate-r`
4×	`associate-/l*` `add-log-exp`
3×	`cbrt-prod` `associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`pow1/3` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 83

Calls

4 calls:

0.0ms	(cbrt t)
20.0ms	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series359.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt t)
83.0ms	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
21.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	515	605
1	2513	465
2	5001	438

prune357.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes911.0ms

Accuracy

-4.6% (9.3b remaining)

Error of 9.5b against oracle of 0.1b and baseline of 9.1b

bsearch228.0ms

Steps

Iters	Range	Point
6	8.741605530392025e+79	5.277069570127468e+80	9.108177319590127e+79
8	-8.66576218690944e-10	-3.2652798113717877e-12	-1.3066280141726423e-11
9	-2.1747121263320174e+136	-1.9394570652214536e+131	-5.7736209649455284e+135

Iters

Range

Point

8.741605530392025e+79

5.277069570127468e+80

9.108177319590127e+79

-8.66576218690944e-10

-3.2652798113717877e-12

-1.3066280141726423e-11

-2.1747121263320174e+136

-1.9394570652214536e+131

-5.7736209649455284e+135

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	44
1	60	44

end0.0ms

sample1.3s

Algorithm

intervals

Results

819.0ms

12787×

body

valid