Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

20.0ms	(* 1.1283791670955126 (exp z))
21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
48.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* 1.1283791670955126 (exp z))
93.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
128.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify4.3s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	119	886
1	281	858
2	966	792
3	4968	786
done	5000	786

prune470.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

23.0ms	(* 1.1283791670955126 (exp z))
37.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
58.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series352.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 1.1283791670955126 (exp z))
96.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
110.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
119.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts

148 → 148

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	223	2616
1	581	2379
2	2697	2249
done	5001	2049

prune778.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1.1283791670955126 y) (exp z))
0.0b	(- (* (/ 1.1283791670955126 y) (exp z)) x)
0.1b	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
3×	`div-exp` `associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `flip3--` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

3 → 77

Calls

3 calls:

35.0ms	(* (/ 1.1283791670955126 y) (exp z))
29.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
62.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

series240.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (/ 1.1283791670955126 y) (exp z))
74.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
122.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	158	1092
1	362	1016
2	1755	937
done	5001	931

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))) (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))))
0.4b	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
0.4b	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
0.4b	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

133×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
20×	`swap-sqr`
18×	`associate-r` `associate-l`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div` `flip3--` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

263.0ms	(* (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))) (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))))
30.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
34.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
32.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))) (cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))))
288.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
268.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
292.0ms	(cbrt (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))

simplify1.7s

Counts

177 → 177

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	256	5238
1	572	4825
2	2067	4651
done	5001	4387

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

768.0ms

8001×

body

valid