Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

263×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
7.0ms	(* (+ (* x y) z) y)
11.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series457.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ y a) y) b) y)
34.0ms	(* (+ (* x y) z) y)
55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
331.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	534	1179
1	2148	1042
2	5001	1024

prune625.0ms

Filtered

111 candidates to 96 candidates (86.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.5b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
25.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
24×	`prod-exp`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`1-exp` `div-exp`
9×	`associate-l`
7×	`cbrt-unprod`
6×	`rec-exp` `times-frac` `associate-*l/`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `pow-prod-down` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`frac-times` `pow-flip` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `inv-pow`

Counts

4 → 118

Calls

4 calls:

9.0ms	(* (+ (* x y) z) y)
11.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
5.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
22.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* x y) z) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
59.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
325.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify69.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	545	1168
1	2207	978
2	5001	910

prune588.0ms

Filtered

130 candidates to 89 candidates (68.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.6b

localize27.0ms

Local error

Found 4 expressions with local error:

25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
26.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
10.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
35.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series761.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
454.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify109.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	321	1765
1	1016	1596
2	4451	1516
3	5001	1503

prune550.0ms

Filtered

84 candidates to 78 candidates (92.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.6b

localize35.0ms

Local error

Found 4 expressions with local error:

25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
25.4b	(cbrt (* (+ (* (+ y a) y) b) y))
26.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (* (* (cbrt (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y)))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y))))) c) y) i))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
77.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (* (* (cbrt (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y)))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y))))) c) y) i))

series769.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
101.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
463.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (* (* (cbrt (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y)))) (cbrt (cbrt (* (+ (* (+ y a) y) b) y))))) c) y) i))

simplify118.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	329	2485
1	1044	2258
2	4587	2200
3	5001	2167

prune585.0ms

Filtered

84 candidates to 78 candidates (92.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.6b

regimes670.0ms

Accuracy

0% (1.0b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	35	13
2	36	13
3	36	13

end0.0ms

sample912.0ms

Algorithm

intervals

Results

546.0ms

8233×

body

valid