Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

322×

body

valid

simplify152.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	40	11
3	122	9
4	224	9
5	300	9
done	300	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

157.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify1.8s

Counts

28 → 28

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	55	324
1	160	309
2	636	267
3	4378	267
done	5000	267

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l` `sum-log`
3×	`flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `associate-*l/`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

9.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
19.0ms	(* (+ d3 5.0) d1)
31.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series112.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
29.0ms	(* (+ d3 5.0) d1)
43.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify2.4s

Counts

54 → 54

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	93	709
1	271	652
2	1010	536
3	4619	502
done	5000	502

prune105.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))) (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))))
0.7b	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
0.7b	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
0.7b	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
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 → 117

Calls

4 calls:

314.0ms	(* (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))) (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))))
38.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
39.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
37.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))) (cbrt (+ 32.0 (+ d2 (+ d3 5.0)))))
100.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
101.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))
102.0ms	(cbrt (+ 32.0 (+ d2 (+ d3 5.0))))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	142	2645
1	321	2402
2	882	2287
3	3056	1960
done	5000	1928

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 32.0 (+ d2 (+ d3 5.0)))
0.0b	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
7.9b	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
13.6b	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
33×	`distribute-lft-out`
22×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r` `distribute-lft-out--`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+`
4×	`frac-times` `flip3--` `flip--` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `prod-exp` `sum-log` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `associate--r+`

Counts

4 → 124

Calls

4 calls:

42.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
99.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
26.0ms	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
95.0ms	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- 32.0 (+ d2 (+ d3 5.0)))
26.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
102.0ms	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
151.0ms	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

simplify1.3s

Counts

136 → 136

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	2777
1	602	2562
2	2512	2238
done	5000	1819

prune278.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes96.0ms

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	9	9
1	13	9
done	13	9

end0.0ms

sample546.0ms

Algorithm

intervals

Results

263.0ms	10042×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	6×	body	160	valid