Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

384×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	80	9
4	266	9
5	893	9
6	4915	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
51.0ms	(* (- y z) (- t x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (* (- y z) (- t x)))
41.0ms	(* (- y z) (- t x))

simplify751.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	110	687
1	300	651
2	1286	611
done	5000	611

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
1.3b	(cbrt (* (- y z) (- t x)))
1.3b	(cbrt (* (- y z) (- t x)))
1.3b	(cbrt (* (- y z) (- t x)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

73.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
20.0ms	(cbrt (* (- y z) (- t x)))
21.0ms	(cbrt (* (- y z) (- t x)))
21.0ms	(cbrt (* (- y z) (- t x)))

series1.9s

Counts

4 → 12

Calls

4 calls:

837.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
370.0ms	(cbrt (* (- y z) (- t x)))
338.0ms	(cbrt (* (- y z) (- t x)))
323.0ms	(cbrt (* (- y z) (- t x)))

simplify1.1s

Counts

174 → 174

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	290	5546
1	539	5213
2	1673	5089
done	5002	5007

prune842.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t x))
0.6b	(cbrt (- y z))
1.3b	(cbrt (* (- y z) (- t x)))
1.3b	(cbrt (* (- y z) (- t x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
14×	`flip3--` `flip--`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`frac-times`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (- t x))
4.0ms	(cbrt (- y z))
25.0ms	(cbrt (* (- y z) (- t x)))
13.0ms	(cbrt (* (- y z) (- t x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- t x))
251.0ms	(cbrt (- y z))
351.0ms	(cbrt (* (- y z) (- t x)))
393.0ms	(cbrt (* (- y z) (- t x)))

simplify639.0ms

Counts

76 → 76

Iterations

Useful iterations: done (635.0ms)

Iter	Nodes	Cost
0	186	1112
1	414	1076
2	1295	1026
done	5002	992

prune529.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- t x)) (cbrt (- t x)))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

41.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
7.0ms	(cbrt (- t x))
8.0ms	(cbrt (- t x))
16.0ms	(cbrt (- t x))

series823.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
211.0ms	(cbrt (- t x))
220.0ms	(cbrt (- t x))
209.0ms	(cbrt (- t x))

simplify984.0ms

Counts

113 → 113

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	131	1384
1	285	1281
2	931	1223
done	5000	1179

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

552.0ms

12068×

body

valid