Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

417×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 19.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
1.1b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.3b	(* (* (* z 4.0) t) a)
16.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite257.0ms

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:

16.0ms	(* (* x 9.0) y)
18.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
49.0ms	(* (* (* z 4.0) t) a)
171.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series301.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* x 9.0) y)
74.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
25.0ms	(* (* (* z 4.0) t) a)
184.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify75.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (15.0ms)

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

prune451.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.6b	(/ b (* z c))
6.9b	(/ (* a t) c)
9.2b	(/ (* x y) (* z c))

rewrite57.0ms

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:

24.0ms	(* 9.0 (/ (* x y) (* z c)))
9.0ms	(/ b (* z c))
9.0ms	(/ (* a t) c)
12.0ms	(/ (* x y) (* z c))

series98.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ b (* z c))
20.0ms	(/ (* a t) c)
25.0ms	(/ (* x y) (* z c))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

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

prune317.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
3.0b	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.6b	(/ b (* z c))
9.2b	(/ (* x y) (* z c))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
38×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
32×	`times-frac`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
14×	`cbrt-prod`
13×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt c)
41.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
7.0ms	(/ b (* z c))
12.0ms	(/ (* x y) (* z c))

series260.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt c)
47.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
18.0ms	(/ b (* z c))
26.0ms	(/ (* x y) (* z c))

simplify74.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	635	852
1	3415	669
2	5002	634

prune448.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.6b	(/ b (* z c))
5.2b	(/ a (/ c t))
9.2b	(/ (* x y) (* z c))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

24.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(/ b (* z c))
8.0ms	(/ a (/ c t))
14.0ms	(/ (* x y) (* z c))

series99.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ b (* z c))
19.0ms	(/ a (/ c t))
28.0ms	(/ (* x y) (* z c))

simplify74.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5001	746

prune417.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes696.0ms

Accuracy

-10.5% (11.2b remaining)

Error of 11.3b against oracle of 0.1b and baseline of 10.2b

bsearch311.0ms

Steps

Iters	Range		Point
9	2.005247092990964e-193	1.5567845224565152e-186	3.8251537427863506e-193
10	-4.058025398416038e-172	-1.526839586440685e-182	-1.427906185137792e-178
8	-1.0647328269323992e+49	-1.9954453039984245e+46	-2.2584996536451608e+46
7	-1.1911282663133897e+249	-5.2216478444750737e+247	-5.5630200106542926e+247

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	65
1	62	65

end0.0ms

sample1.3s

Algorithm

intervals

Results

561.0ms

12772×

body

valid