Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

314×

body

valid

simplify186.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3
done	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

19.0ms	(* y (- z x))
9.0ms	(+ x (* y (- z x)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z x))
44.0ms	(+ x (* y (- z x)))

simplify95.0ms

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165
done	5003	165

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series737.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
173.0ms	(cbrt y)
181.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify93.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune186.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
0.6b	(cbrt (+ x (* y (- z x))))
0.6b	(cbrt (+ x (* y (- z x))))
0.6b	(cbrt (+ x (* y (- z x))))

rewrite40.0ms

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:

29.0ms	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
3.0ms	(cbrt (+ x (* y (- z x))))
3.0ms	(cbrt (+ x (* y (- z x))))
3.0ms	(cbrt (+ x (* y (- z x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
254.0ms	(cbrt (+ x (* y (- z x))))
265.0ms	(cbrt (+ x (* y (- z x))))
248.0ms	(cbrt (+ x (* y (- z x))))

simplify41.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	329	1225
1	1104	1155
2	5001	1076
done	5001	1076

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y (- z x))))
0.6b	(cbrt (+ x (* y (- z x))))
0.6b	(cbrt (+ x (* y (- z x))))
0.6b	(cbrt (* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x))))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (+ x (* y (- z x))))
3.0ms	(cbrt (+ x (* y (- z x))))
3.0ms	(cbrt (+ x (* y (- z x))))
11.0ms	(cbrt (* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (+ x (* y (- z x))))
264.0ms	(cbrt (+ x (* y (- z x))))
256.0ms	(cbrt (+ x (* y (- z x))))
272.0ms	(cbrt (* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x))))))

simplify72.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	296	968
1	732	915
2	2903	886
3	5001	886
done	5001	886

prune267.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3
done	8	3

end0.0ms

sample445.0ms

Algorithm

intervals

Results

177.0ms

10171×

body

valid