Details

sample336.0ms

Algorithm

intervals

Results

66.0ms

523×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.5b	(/ 2.0 (* r r))
4.9b	(* (* (* w w) r) r)
10.1b	(* (* w w) r)

rewrite51.0ms

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:

9.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms	(/ 2.0 (* r r))
25.0ms	(* (* (* w w) r) r)
10.0ms	(* (* w w) r)

series147.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms	(/ 2.0 (* r r))
33.0ms	(* (* (* w w) r) r)
33.0ms	(* (* w w) r)

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (41.0ms)

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

prune314.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)
0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))

rewrite18.0ms

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)
9.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))

series173.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
54.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
29.0ms	(/ 2.0 (* r r))

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (37.0ms)

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

prune353.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0b	(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)))
0.5b	(/ 2.0 (* r r))

rewrite12.0ms

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:

3.0ms	(- (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))

series179.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
72.0ms	(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))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	377	1027
1	1297	828
2	5002	791

prune356.0ms

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	(+ (* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
0.1b	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

18.0ms	(+ (* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
24.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
6.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))

series166.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
54.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
12.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))

simplify80.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	714	1311
1	2989	1096
2	5002	1075

prune438.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

16860×

body

valid