Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

264×

body

valid

simplify91.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite120.0ms

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:

18.0ms	(* (+ (* (+ y a) y) b) y)
21.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series488.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
328.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify72.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	535	1242
1	2186	1109
2	5003	1089

prune627.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (fma (+ y a) y b) y c) y i)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
26.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
23×	`prod-exp`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`1-exp` `div-exp`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`rec-exp` `times-frac` `associate-l` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `associate-/l*`
2×	`frac-times` `pow-flip` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `fma-udef` `inv-pow`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
4.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
58.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
60.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
323.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify66.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	480	1139
1	1951	950
2	5001	880

prune513.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.4b

localize30.0ms

Local error

Found 4 expressions with local error:

25.9b	(cbrt (* (+ (* (+ y a) y) b) y))
25.9b	(cbrt (* (+ (* (+ y a) y) b) y))
25.9b	(cbrt (* (+ (* (+ y a) y) b) y))
26.7b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite136.0ms

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:

6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
116.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series766.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
108.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
105.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
452.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify113.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (98.0ms)

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

prune552.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.4b

localize35.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt (+ (* (+ y a) y) b))
25.9b	(cbrt (* (+ (* (+ y a) y) b) y))
25.9b	(cbrt (* (+ (* (+ y a) y) b) y))
26.7b	(/ (+ (* (+ (* (+ (* (+ (* 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)) (cbrt y))) c) y) i))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ y a) y) b))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
141.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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)) (cbrt y))) c) y) i))

series758.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* (+ y a) y) b))
101.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
102.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
448.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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)) (cbrt y))) c) y) i))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	395	1834
1	1273	1664
2	5001	1634

prune580.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 26.4b

regimes814.0ms

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.6b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	30
1	49	30

end0.0ms

sample876.0ms

Algorithm

intervals

Results

530.0ms

8248×

body

valid