Details

sample102.0ms

Algorithm

intervals

Results

16.0ms

317×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	50	7
5	66	7
6	75	7
7	93	7
8	232	7
9	621	7
10	2696	7
done	5000	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

26.0ms	(* y (- z x))
18.0ms	(+ x (* y (- z x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- z x))
67.0ms	(+ x (* y (- z x)))

simplify2.8s

Counts

47 → 47

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	73	409
1	186	381
2	616	351
3	3706	351
done	5001	351

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`distribute-lft-neg-out` `*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `unsub-neg` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

16.0ms	(+ (* y z) (* (- x) y))
40.0ms	(+ x (+ (* y z) (* (- x) y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* y z) (* (- x) y))
56.0ms	(+ x (+ (* y z) (* (- x) y)))

simplify722.0ms

Counts

35 → 35

Iterations

Useful iterations: done (720.0ms)

Iter	Nodes	Cost
0	54	448
1	178	315
2	795	295
done	5001	291

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.2b	(cbrt (* y (- z x)))
3.2b	(cbrt (* y (- z x)))
3.2b	(cbrt (* y (- z x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
15.0ms	(cbrt (* y (- z x)))
16.0ms	(cbrt (* y (- z x)))
15.0ms	(cbrt (* y (- z x)))

series979.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
221.0ms	(cbrt (* y (- z x)))
255.0ms	(cbrt (* y (- z x)))
238.0ms	(cbrt (* y (- z x)))

simplify707.0ms

Counts

84 → 84

Iterations

Useful iterations: done (704.0ms)

Iter	Nodes	Cost
0	115	1174
1	276	1071
2	917	975
done	5000	916

prune476.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.5b	(- (* z z) (* x x))
8.7b	(* y (- (* z z) (* x x)))
20.0b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

38.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
12.0ms	(- (* z z) (* x x))
33.0ms	(* y (- (* z z) (* x x)))
57.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series402.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
57.0ms	(- (* z z) (* x x))
124.0ms	(* y (- (* z z) (* x x)))
118.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	128	1358
1	405	1284
2	2395	1104
done	5000	1098

prune337.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample920.0ms

Algorithm

intervals

Results

384.0ms

10094×

body

valid