Details

sample366.0ms

Algorithm

intervals

Results

95.0ms

552×

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
1.0b	(/ 2.0 (* r r))
5.3b	(* (* (* w w) r) r)
9.0b	(* (* w w) r)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-r`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

8.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms	(/ 2.0 (* r r))
26.0ms	(* (* (* w w) r) r)
10.0ms	(* (* w w) r)

series143.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
29.0ms	(/ 2.0 (* r r))
32.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify50.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	394	490
1	1732	410
2	5001	397

prune317.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
1.0b	(/ 2.0 (* r r))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `swap-sqr` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `flip--` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
11.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))

series169.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
56.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	384	637
1	1539	546
2	5001	522

prune354.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 (* r r)) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
0.1b	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
1.0b	(/ 2.0 (* r r))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

22.0ms	(- (/ 2.0 (* r r)) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
0.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))

series176.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (/ 2.0 (* r r)) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
69.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))

simplify80.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	620	3778
1	2214	2507
2	5001	2127

prune440.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 2.0 r) r) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
0.1b	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 402

Calls

4 calls:

63.0ms	(- (/ (/ 2.0 r) r) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
0.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ (/ 2.0 r) r) (- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0))
69.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
29.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify199.0ms

Algorithm

egg-herbie

Counts

414 → 414

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	1151	17759
1	3947	10723
2	5001	10711

prune946.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.7s

17077×

body

valid