Details

sample50.0ms

Algorithm

intervals

Results

28.0ms

263×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite134.0ms

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×	`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 → 91

Calls

4 calls:

31.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
36.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
46.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series552.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
74.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
338.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	504	1343
1	2234	1226
2	5001	1224

prune504.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
10×	`pow1`
9×	`associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `-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 → 95

Calls

4 calls:

31.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
31.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
78.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

series547.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
73.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
335.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	522	1470
1	2341	1341
2	5001	1340

prune492.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.6b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

30.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
101.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
56.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
331.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	559	1707
1	2755	1518
2	5001	1492

prune518.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 31.4b

localize29.0ms

Local error

Found 4 expressions with local error:

19.4b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
19.4b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
19.4b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
31.9b	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

12.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
14.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
12.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
166.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

series1.3s

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
383.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
199.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
489.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* 1 (* (+ (* (+ (* (+ y a) y) b) y) c) y)) i))

simplify56.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	392	2498
1	1255	2244
2	5002	2213

prune458.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 31.4b

regimes589.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

914.0ms

8213×

body

valid