Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

269×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	84	11
4	198	11
5	574	11
6	1811	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
6.1b	(/ x (* (- y z) (- y t)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

47.0ms	(* (- y z) (- y t))
17.0ms	(/ x (* (- y z) (- y t)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- y z) (- y t))
68.0ms	(/ x (* (- y z) (- y t)))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	177	1460
1	436	1278
2	2526	1098
done	5000	1074

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.1b	(/ (/ x (- y z)) (- y t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

11.0ms	(/ x (- y z))
31.0ms	(/ (/ x (- y z)) (- y t))

series104.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (- y z))
64.0ms	(/ (/ x (- y z)) (- y t))

simplify1.2s

Counts

195 → 195

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	268	3384
1	664	3198
2	2555	3126
done	5000	3126

prune472.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (- y t))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (- y t))
530.0ms	(cbrt x)
297.0ms	(cbrt x)
243.0ms	(cbrt x)

simplify719.0ms

Counts

68 → 68

Iterations

Useful iterations: done (717.0ms)

Iter	Nodes	Cost
0	93	409
1	189	391
2	480	365
3	1559	343
done	5001	331

prune312.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.1b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
22.7b	(cbrt (* (- y z) (- y t)))
22.7b	(cbrt (* (- y z) (- y t)))
22.7b	(cbrt (* (- y z) (- y t)))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 810

Calls

4 calls:

171.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
20.0ms	(cbrt (* (- y z) (- y t)))
21.0ms	(cbrt (* (- y z) (- y t)))
27.0ms	(cbrt (* (- y z) (- y t)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
282.0ms	(cbrt (* (- y z) (- y t)))
200.0ms	(cbrt (* (- y z) (- y t)))
207.0ms	(cbrt (* (- y z) (- y t)))

simplify1.8s

Counts

822 → 822

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1663	33984
1	3609	33904
done	5000	33168

prune7.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	20	40
done	20	40

end0.0ms

sample1.0s

Algorithm

intervals

Results

474.0ms

8424×

body

valid