Details

sample57.0ms

Algorithm

intervals

Results

20.0ms

268×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4400
5	954
4	265
3	108
2	58
1	25
0	12

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ 1.0 (- t z)))
0.1b	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--`

Counts

2 → 64

Calls

2 calls:

39.0ms	(/ (- z y) (+ 1.0 (- t z)))
0.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

series218.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- z y) (+ 1.0 (- t z)))
145.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

simplify979.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1021
1	284
0	116

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z y) (+ 1.0 (- t z)))) (cbrt (/ (- z y) (+ 1.0 (- t z)))))
2.8b	(cbrt (/ (- z y) (+ 1.0 (- t z))))
2.8b	(cbrt (/ (- z y) (+ 1.0 (- t z))))
2.8b	(cbrt (/ (- z y) (+ 1.0 (- t z))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

624×	`*-un-lft-identity`
333×	`cbrt-prod`
285×	`times-frac`
219×	`add-sqr-sqrt`
136×	`distribute-lft-out--`
134×	`distribute-lft-out`
101×	`add-cube-cbrt`
86×	`swap-sqr`
47×	`difference-of-squares`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 312

Calls

4 calls:

193.0ms	(* (cbrt (/ (- z y) (+ 1.0 (- t z)))) (cbrt (/ (- z y) (+ 1.0 (- t z)))))
15.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))
15.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))
24.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (/ (- z y) (+ 1.0 (- t z)))) (cbrt (/ (- z y) (+ 1.0 (- t z)))))
370.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))
393.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))
344.0ms	(cbrt (/ (- z y) (+ 1.0 (- t z))))

simplify1.9s

Counts

324 → 324

Iterations

Iter	Nodes
done	5000
2	1789
1	473
0	231

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
51.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (- z y))
251.0ms	(cbrt (- z y))
237.0ms	(cbrt (- z y))
222.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

simplify1.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	974
1	294
0	135

prune916.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

66.0ms	(/ (+ (- t z) 1.0) a)
158.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
48.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series431.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
221.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.8s

Counts

510 → 510

Iterations

Iter	Nodes
done	5001
1	1936
0	661

prune2.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes632.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

801.0ms	8428×	body	80	valid
0.0ms	1×	body	640	valid