Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	301×	body	80	valid
12.0ms	333×	body	80	nan

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	83	16
3	224	16
4	618	16
5	1600	16
6	3206	16
done	5001	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

12.0ms	(* (- a 0.5) b)
260.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
81.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series241.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
137.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
35.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify707.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	204	1549
1	528	1433
2	2092	1351
done	5000	1351

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt t)) z)
0.3b	(* (* 2 (log (cbrt t))) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

4.0ms	(* (log (cbrt t)) z)
8.0ms	(* (* 2 (log (cbrt t))) z)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series630.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (log (cbrt t)) z)
136.0ms	(* (* 2 (log (cbrt t))) z)
184.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify2.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	88	525
1	201	493
2	685	406
3	2957	397
done	5000	397

prune293.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series734.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt t)
184.0ms	(cbrt z)
186.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify1.3s

Counts

56 → 56

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	42	260
1	71	244
2	144	220
3	293	208
4	703	208
5	2045	208
done	5000	208

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ (+ x y) z) (* z (log t)))) (cbrt (- (+ (+ x y) z) (* z (log t)))))
0.5b	(cbrt (- (+ (+ x y) z) (* z (log t))))
0.5b	(cbrt (- (+ (+ x y) z) (* z (log t))))
0.5b	(cbrt (- (+ (+ x y) z) (* z (log t))))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

272.0ms	(* (cbrt (- (+ (+ x y) z) (* z (log t)))) (cbrt (- (+ (+ x y) z) (* z (log t)))))
34.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))
33.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))
37.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

537.0ms	(* (cbrt (- (+ (+ x y) z) (* z (log t)))) (cbrt (- (+ (+ x y) z) (* z (log t)))))
271.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))
272.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))
282.0ms	(cbrt (- (+ (+ x y) z) (* z (log t))))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	128	2674
1	284	2505
2	820	2289
3	2839	2038
done	5000	2034

prune406.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes416.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	25
1	27	25
done	27	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

417.0ms	9234×	body	80	valid
351.0ms	9120×	body	80	nan
1.0ms	3×	body	640	valid