Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

264×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	113	17
5	200	17
6	397	17
7	826	17
8	2533	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

16.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
58.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series325.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
27.0ms	(- (* t z) x)
135.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
68.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.9s

Counts

125 → 125

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	182	2295
1	451	2174
2	1262	2039
3	4459	2030
done	5001	2026

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.0b	(* y (/ z (- (* t z) x)))
2.2b	(/ x (- (* t z) x))
6.5b	(/ z (- (* t z) x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 141

Calls

4 calls:

115.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
15.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ z (- (* t z) x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
36.0ms	(* y (/ z (- (* t z) x)))
70.0ms	(/ x (- (* t z) x))
35.0ms	(/ z (- (* t z) x))

simplify1.9s

Counts

153 → 153

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	213	2767
1	490	2688
2	1353	2432
3	4153	2432
done	5001	2430

prune482.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (- (* t z) x) z))
2.0b	(* y (/ 1 (/ (- (* t z) x) z)))
2.2b	(/ x (- (* t z) x))
6.4b	(/ (- (* t z) x) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
112×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
98×	`add-cube-cbrt`
44×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`div-exp`
11×	`div-inv`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `cbrt-unprod`
2×	`flip3--` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 216

Calls

4 calls:

8.0ms	(/ 1 (/ (- (* t z) x) z))
28.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
5.0ms	(/ x (- (* t z) x))
8.0ms	(/ (- (* t z) x) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (/ (- (* t z) x) z))
38.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
70.0ms	(/ x (- (* t z) x))
40.0ms	(/ (- (* t z) x) z)

simplify2.2s

Counts

228 → 228

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	284	3364
1	690	2876
2	1449	2557
3	3817	2537
done	5000	2534

prune631.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
7.0b	(cbrt (- (* t z) x))
7.0b	(cbrt (- (* t z) x))
7.0b	(cbrt (- (* t z) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 79

Calls

4 calls:

18.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
2.0ms	(cbrt (- (* t z) x))
5.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))

series613.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
142.0ms	(cbrt (- (* t z) x))
138.0ms	(cbrt (- (* t z) x))
139.0ms	(cbrt (- (* t z) x))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	166	1692
1	466	1616
2	1306	1462
3	3655	1391
done	5001	1390

prune380.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (2.0b remaining)

Error of 2.2b against oracle of 0.2b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
done	22	25

end0.0ms

sample553.0ms

Algorithm

intervals

Results

330.0ms

8315×

body

valid