Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

281×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4971
23	4719
22	4472
21	4219
20	3966
19	3718
18	3457
17	3189
16	2922
15	2654
14	2345
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
10.2b	(/ (* (- y z) t) (- a z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

25.0ms	(* (- y z) t)
25.0ms	(+ x (/ (* (- y z) t) (- a z)))
21.0ms	(/ (* (- y z) t) (- a z))

series222.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (- y z) t)
89.0ms	(+ x (/ (* (- y z) t) (- a z)))
93.0ms	(/ (* (- y z) t) (- a z))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1121
1	334
0	124

prune328.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.6b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
110.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (- a z))
160.0ms	(cbrt (- a z))
165.0ms	(cbrt (- a z))
104.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify2.1s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	2338
1	606
0	211

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
1.4b	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
20×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-l`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`cbrt-div` `times-frac`
5×	`frac-times` `associate-*r/`
4×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`associate-/r/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

5.0ms	(cbrt (- y z))
5.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
152.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (- y z))
231.0ms	(cbrt (- y z))
192.0ms	(cbrt (- y z))
108.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

simplify2.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1873
1	529
0	198

prune710.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
9.6b	(* (- y z) (/ t (- a z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

6.0ms	(+ x (* (- y z) (/ t (- a z))))
13.0ms	(/ t (- a z))
48.0ms	(* (- y z) (/ t (- a z)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ x (* (- y z) (/ t (- a z))))
33.0ms	(/ t (- a z))
80.0ms	(* (- y z) (/ t (- a z)))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1442
1	389
0	154

prune576.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes730.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

904.0ms	8714×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid