Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

288×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2268
10	810
9	491
8	355
7	284
6	249
5	158
4	96
3	56
2	35
1	21
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.4b	(* y (/ (- z t) (- z a)))

rewrite82.0ms

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))))
29.0ms	(/ (- z t) (- z a))
44.0ms	(* y (/ (- z t) (- z a)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ x (* y (/ (- z t) (- z a))))
62.0ms	(/ (- z t) (- z a))
100.0ms	(* y (/ (- z t) (- z a)))

simplify807.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1781
1	448
0	162

prune588.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
4.8b	(cbrt (/ (- z t) (- z a)))
4.8b	(cbrt (/ (- z t) (- z a)))
4.8b	(cbrt (/ (- z t) (- z a)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

118.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
7.0ms	(cbrt (/ (- z t) (- z a)))
11.0ms	(cbrt (/ (- z t) (- z a)))
15.0ms	(cbrt (/ (- z t) (- z a)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
174.0ms	(cbrt (/ (- z t) (- z a)))
209.0ms	(cbrt (/ (- z t) (- z a)))
163.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.2s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
2	1527
1	405
0	228

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- z a)))
0.6b	(cbrt (- z t))
4.8b	(cbrt (/ (- z t) (- z a)))
4.8b	(cbrt (/ (- z t) (- z a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
84×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`
3×	`div-inv`

Counts

4 → 125

Calls

4 calls:

9.0ms	(cbrt (/ 1 (- z a)))
3.0ms	(cbrt (- z t))
8.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (/ 1 (- z a)))
204.0ms	(cbrt (- z t))
177.0ms	(cbrt (/ (- z t) (- z a)))
167.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
3	2891
2	961
1	444
0	244

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (* (cbrt y) (cbrt y)) (/ (* (- z t) (cbrt y)) (- z a)))
3.7b	(/ (* (- z t) (cbrt y)) (- z a))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
21×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-r`
10×	`times-frac` `add-cube-cbrt`
9×	`pow1`
6×	`cbrt-prod` `cbrt-undiv` `div-exp`
5×	`associate-/r*`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-*l/` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
50.0ms	(* (* (cbrt y) (cbrt y)) (/ (* (- z t) (cbrt y)) (- z a)))
27.0ms	(/ (* (- z t) (cbrt y)) (- z a))

series947.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt y)
276.0ms	(cbrt y)
154.0ms	(* (* (cbrt y) (cbrt y)) (/ (* (- z t) (cbrt y)) (- z a)))
241.0ms	(/ (* (- z t) (cbrt y)) (- z a))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	2710
1	422
0	131

prune594.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes758.0ms

Accuracy

8.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch122.0ms

Steps

Iters	Range		Point
6	9.726805520336917e-257	8.481905477913243e-256	3.3204015138500436e-256
7	-2.4349893434990816e-135	-1.450529860360962e-136	-3.0190154692849138e-136

simplify3.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.4s

Algorithm

intervals

Results

528.0ms

8712×

body

valid