Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

275×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	2768
9	935
8	504
7	314
6	223
5	167
4	105
3	58
2	33
1	18
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
13.4b	(/ (* y (- z t)) (- z a))

rewrite90.0ms

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-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `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 → 67

Calls

3 calls:

22.0ms	(+ x (/ (* y (- z t)) (- z a)))
31.0ms	(* y (- z t))
35.0ms	(/ (* y (- z t)) (- z a))

series257.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ x (/ (* y (- z t)) (- z a)))
47.0ms	(* y (- z t))
92.0ms	(/ (* y (- z t)) (- z a))

simplify926.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1356
1	353
0	128

prune444.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.5b	(/ y (/ (- z a) (- z t)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

68.0ms	(+ x (/ y (/ (- z a) (- z t))))
18.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

series398.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(+ x (/ y (/ (- z a) (- z t))))
61.0ms	(/ (- z a) (- z t))
177.0ms	(/ y (/ (- z a) (- z t)))

simplify1.4s

Counts

215 → 215

Iterations

Iter	Nodes
done	5002
2	4024
1	801
0	292

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.1b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
130×	`cbrt-prod`
123×	`add-sqr-sqrt`
118×	`associate-r`
110×	`*-un-lft-identity`
60×	`add-cube-cbrt`
48×	`cbrt-div`
36×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
24×	`flip3--` `flip--`
18×	`associate-/r/`
16×	`frac-times`
14×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
12×	`associate-*l/`
10×	`cbrt-undiv` `div-exp`
9×	`pow1` `div-inv`
7×	`unswap-sqr`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative`

Counts

4 → 214

Calls

4 calls:

6.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
150.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (- z t))
220.0ms	(cbrt (- z t))
208.0ms	(cbrt (- z t))
540.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

simplify961.0ms

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
1	1427
0	409

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- z a))))
33.0ms	(/ (- z t) (- z a))
48.0ms	(* y (/ (- z t) (- z a)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ x (* y (/ (- z t) (- z a))))
59.0ms	(/ (- z t) (- z a))
114.0ms	(* y (/ (- z t) (- z a)))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1781
1	448
0	162

prune603.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes642.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
2	28
1	27
0	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

566.0ms	8751×	body	80	valid
0.0ms	1×	body	160	valid