Details

sample321.0ms

Algorithm

intervals

Results

42.0ms

542×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	675	14
3	3242	13
4	5001	13

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.4b	(/ 2.0 (* r r))
5.8b	(* (* (* w w) r) r)
8.7b	(* (* w w) r)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms	(/ 2.0 (* r r))
59.0ms	(* (* (* w w) r) r)
20.0ms	(* (* w w) r)

series177.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
23.0ms	(/ 2.0 (* r r))
33.0ms	(* (* (* w w) r) r)
24.0ms	(* (* w w) r)

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	320	459
1	1457	382
2	5001	374

prune423.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))

series183.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
70.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
27.0ms	(/ 2.0 (* r r))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	1079
1	1315	875
2	5001	837

prune621.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`add-exp-log` `add-cbrt-cube`
31×	`*-un-lft-identity`
27×	`add-cube-cbrt`
21×	`times-frac` `prod-diff`
16×	`pow1`
14×	`associate-l`
13×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`fma-neg`
6×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `diff-log` `associate-r` `pow-prod-down` `frac-sub` `log1p-expm1-u`
3×	`flip3--` `swap-sqr` `associate-l/` `flip--` `associate-/l` `difference-of-squares`
2×	`frac-add` `sum-log` `associate-/r/` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `flip-+` `associate--r+` `associate--r-`

Counts

4 → 141

Calls

4 calls:

191.0ms	(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
54.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))

series168.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (/ 2.0 (* r r)) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
58.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))

simplify124.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	892	3307
1	4119	1978
2	5001	1951

prune860.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 2.0 r) r) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (fabs (* w r)) (fabs (* w r)))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

347×	`times-frac`
249×	`add-sqr-sqrt`
239×	`*-un-lft-identity`
235×	`add-cube-cbrt`
129×	`prod-diff`
43×	`fma-neg`
32×	`add-exp-log` `add-cbrt-cube`
22×	`div-inv`
16×	`pow1`
14×	`associate-l`
13×	`associate-/l*` `add-log-exp`
12×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `diff-log` `associate-r` `pow-prod-down` `frac-sub` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `swap-sqr` `associate-l/` `associate-/r` `flip--`
2×	`frac-add` `sum-log` `associate-/r/` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/` `associate--r+` `associate--r-`

Counts

4 → 335

Calls

4 calls:

218.0ms	(- (/ (/ 2.0 r) r) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
52.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
11.0ms	(/ (/ 2.0 r) r)
10.0ms	(* (fabs (* w r)) (fabs (* w r)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (/ (/ 2.0 r) r) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0)))
58.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
23.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify116.0ms

Algorithm

egg-herbie

Counts

347 → 347

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1347	13333
1	5002	6692

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes460.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

17004×

body

valid