Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

281×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2292
9	780
8	442
7	291
6	218
5	165
4	104
3	57
2	32
1	17
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.1b	(/ (* y (- z t)) (- a t))

rewrite78.0ms

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:

26.0ms	(* y (- z t))
16.0ms	(+ x (/ (* y (- z t)) (- a t)))
31.0ms	(/ (* y (- z t)) (- a t))

series265.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* y (- z t))
100.0ms	(+ x (/ (* y (- z t)) (- a t)))
106.0ms	(/ (* y (- z t)) (- a t))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1356
1	350
0	128

prune521.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
1.8b	(/ y (/ (- a t) (- z t)))

rewrite149.0ms

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:

34.0ms	(/ (- a t) (- z t))
70.0ms	(+ x (/ y (/ (- a t) (- z t))))
28.0ms	(/ y (/ (- a t) (- z t)))

series406.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- a t) (- z t))
161.0ms	(+ x (/ y (/ (- a t) (- z t))))
179.0ms	(/ y (/ (- a t) (- z t)))

simplify1.9s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	4012
1	796
0	292

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
2.1b	(* y (/ (- z t) (- a t)))

rewrite101.0ms

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:

37.0ms	(/ (- z t) (- a t))
9.0ms	(+ x (* y (/ (- z t) (- a t))))
49.0ms	(* y (/ (- z t) (- a t)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- z t) (- a t))
123.0ms	(+ x (* y (/ (- z t) (- a t))))
96.0ms	(* y (/ (- z t) (- a t)))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1782
1	446
0	162

prune765.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
7.4b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
277.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- z t))
207.0ms	(cbrt (- z t))
223.0ms	(cbrt (- z t))
96.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

simplify3.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	4385
1	683
0	238

prune897.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes434.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

461.0ms	8719×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid