Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

276×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
26	4979
25	4743
24	4499
23	4256
22	4020
21	3777
20	3537
19	3301
18	3057
17	2823
16	2584
15	2324
14	1950
13	1556
12	1129
11	699
10	486
9	335
8	250
7	206
6	169
5	128
4	87
3	50
2	31
1	18
0	10

prune60.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- z a))

rewrite107.0ms

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:

30.0ms	(+ x (/ (* y (- z t)) (- z a)))
32.0ms	(* y (- z t))
41.0ms	(/ (* y (- z t)) (- z a))

series256.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ x (/ (* y (- z t)) (- z a)))
65.0ms	(* y (- z t))
91.0ms	(/ (* y (- z t)) (- z a))

simplify2.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	4252
2	1035
1	347
0	128

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.7b	(/ y (/ (- z a) (- z t)))

rewrite137.0ms

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:

65.0ms	(+ x (/ y (/ (- z a) (- z t))))
34.0ms	(/ (- z a) (- z t))
27.0ms	(/ y (/ (- z a) (- z t)))

series344.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ x (/ y (/ (- z a) (- z t))))
64.0ms	(/ (- z a) (- z t))
176.0ms	(/ y (/ (- z a) (- z t)))

simplify2.0s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	2634
1	785
0	292

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(* (cbrt (- z a)) (cbrt (- z a)))
1.7b	(/ y (* (* (cbrt (- z a)) (cbrt (- z a))) (/ (cbrt (- z a)) (- z t))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-div`
38×	`cbrt-prod`
36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`add-exp-log`
20×	`frac-times` `flip3--` `flip--`
17×	`associate-/r/`
16×	`add-cbrt-cube` `add-cube-cbrt`
14×	`associate-*l/`
11×	`pow1`
10×	`swap-sqr`
8×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out--`
7×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `-commutative` `div-inv`

Counts

4 → 130

Calls

4 calls:

5.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))
42.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
52.0ms	(/ y (* (* (cbrt (- z a)) (cbrt (- z a))) (/ (cbrt (- z a)) (- z t))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- z a))
199.0ms	(cbrt (- z a))
149.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
138.0ms	(/ y (* (* (cbrt (- z a)) (cbrt (- z a))) (/ (cbrt (- z a)) (- z t))))

simplify1.9s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1814
1	591
0	226

prune859.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
11.7b	(* (/ y (- z a)) (- z t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

8.0ms	(+ x (* (/ y (- z a)) (- z t)))
14.0ms	(/ y (- z a))
56.0ms	(* (/ y (- z a)) (- z t))

series325.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (* (/ y (- z a)) (- z t)))
44.0ms	(/ y (- z a))
159.0ms	(* (/ y (- z a)) (- z t))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1509
1	439
0	166

prune501.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes535.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

467.0ms

8716×

body

valid