Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

265×

body

valid

simplify99.0ms

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
done	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite237.0ms

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:

25.0ms	(* (+ (* x y) z) y)
42.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
117.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series494.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* x y) z) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
363.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify59.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	509	1200
1	2222	1083
2	5001	1081
done	5001	1081

prune433.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 29.6b

localize31.0ms

Local error

Found 4 expressions with local error:

22.5b	(cbrt (* (+ (* x y) z) y))
22.5b	(cbrt (* (+ (* x y) z) y))
22.5b	(cbrt (* (+ (* x y) z) y))
29.9b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite373.0ms

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:

9.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
342.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series839.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
136.0ms	(cbrt (* (+ (* x y) z) y))
442.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify42.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	393	1666
1	1226	1529
2	5001	1486
done	5001	1486

prune480.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.6b

localize32.0ms

Local error

Found 4 expressions with local error:

21.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
29.9b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite422.0ms

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:

18.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
18.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
365.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
199.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
196.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
479.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify47.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	402	1958
1	1253	1790
2	5001	1745
done	5001	1745

prune475.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

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) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
30.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

41.0ms	(* (+ (* (+ y a) y) b) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
108.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
117.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
463.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
534.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify94.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	684	3583
1	3345	3308
2	5001	3228
done	5001	3228

prune539.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.6b

regimes579.0ms

Accuracy

0% (1.3b remaining)

Error of 29.1b against oracle of 27.9b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	17
1	45	17
done	45	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

517.0ms

8239×

body

valid