Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

266×

body

valid

simplify87.0ms

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: 27.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
26.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite257.0ms

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:

47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0ms	(* (+ (* x y) z) y)
115.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series470.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
67.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
32.0ms	(* (+ (* x y) z) y)
316.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	531	1215
1	2150	1085
2	5002	1065

prune623.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.9b

localize31.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
26.4b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite540.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `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 → 78

Calls

4 calls:

11.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
503.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series807.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
165.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
164.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
318.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	393	1942
1	1265	1777
2	5001	1683

prune615.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
26.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite237.0ms

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:

48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(* (+ (* x y) z) y)
11.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
149.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.0ms	(* (+ (* x y) z) y)
58.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
306.0ms	(* (+ (* (+ (* (+ (* (+ (* 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

130 → 130

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	545	1170
1	2207	978
2	5003	910

prune581.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 25.9b

localize28.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
26.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `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 → 78

Calls

4 calls:

16.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
16.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
16.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
432.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series708.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
127.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
128.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
320.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify132.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	323	2049
1	1078	1859
2	4942	1722
3	5001	1722

prune538.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.9b

regimes653.0ms

Accuracy

0% (1.2b remaining)

Error of 29.3b against oracle of 28.1b and baseline of 29.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	15
1	41	15
2	41	15

end0.0ms

sample990.0ms

Algorithm

intervals

Results

498.0ms

8262×

body

valid