Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

265×

body

valid

simplify102.0ms

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: 25.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite283.0ms

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:

68.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
122.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series441.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
301.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	509	1265
1	2259	1154
2	5003	1152

prune442.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite402.0ms

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:

41.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
60.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
247.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
51.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
308.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify73.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	563	1666
1	2751	1468
2	5002	1442

prune473.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.2b

localize28.0ms

Local error

Found 4 expressions with local error:

21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
24.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

rewrite367.0ms

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` `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 → 64

Calls

4 calls:

26.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
25.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
26.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
287.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
195.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
195.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
462.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

simplify111.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	318	2020
1	997	1827
2	4148	1727
3	5002	1646

prune450.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 24.2b

localize34.0ms

Local error

Found 4 expressions with local error:

20.8b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
20.8b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
20.8b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
24.6b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite508.0ms

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` `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 → 70

Calls

4 calls:

16.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
456.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series686.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
123.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
130.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
309.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify126.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	304	1973
1	1036	1795
2	4590	1763
3	5001	1757

prune419.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 24.2b

regimes646.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample982.0ms

Algorithm

intervals

Results

513.0ms

8245×

body

valid