Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

265×

body

valid

simplify106.0ms

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: 30.0b

localize26.0ms

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)
0.1b	(* (+ (* (+ y a) y) b) y)
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite276.0ms

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:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series546.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
37.0ms	(* (+ (* (+ y a) y) b) y)
373.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	509	1265
1	2259	1154
2	5002	1152
done	5002	1152

prune478.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite392.0ms

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:

48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
57.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
242.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
37.0ms	(* (+ (* (+ y a) y) b) y)
61.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
373.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

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

prune483.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.2b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite313.0ms

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:

48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
104.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
114.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

61.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
466.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
539.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify91.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (65.0ms)

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

prune580.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 28.8b

localize30.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.5b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.5b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.0b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
189.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series998.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
159.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
153.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
532.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify72.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	504	4079
1	2143	3781
2	5002	3626
done	5002	3626

prune733.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 28.8b

regimes686.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17
done	46	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

523.0ms

8241×

body

valid