Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

340×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	101	9
5	158	9
6	207	9
7	389	9
8	992	9
9	3653	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))

series119.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (* (- y x) (/ z t)))
57.0ms	(* (- y x) (/ z t))

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	115	669
1	308	631
2	1520	581
done	5000	557

prune354.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.9b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
62.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series953.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt t)
297.0ms	(cbrt t)
251.0ms	(cbrt t)
105.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	151	1411
1	476	1355
2	2773	1043
done	5000	983

prune663.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
1.3b	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
94×	`times-frac`
89×	`cbrt-prod`
85×	`add-exp-log`
63×	`*-un-lft-identity`
62×	`associate-l`
51×	`add-cube-cbrt`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
23×	`associate-r`
15×	`unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 189

Calls

4 calls:

2.0ms	(cbrt t)
1.0ms	(cbrt t)
70.0ms	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
159.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.5s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt t)
283.0ms	(cbrt t)
817.0ms	(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
128.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify2.7s

Counts

201 → 201

Iterations

Useful iterations: 2 (723.0ms)

Iter	Nodes	Cost
0	281	4006
1	915	3891
2	4972	3296
done	5000	3296

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* (- y x) (/ z t)))
7.1b	(* (- y x) (/ z t))
7.1b	(* (- y x) (/ z t))
7.1b	(* (- y x) (/ z t))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

20.0ms	(cbrt (* (- y x) (/ z t)))
58.0ms	(* (- y x) (/ z t))
61.0ms	(* (- y x) (/ z t))
32.0ms	(* (- y x) (/ z t))

series426.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (* (- y x) (/ z t)))
68.0ms	(* (- y x) (/ z t))
70.0ms	(* (- y x) (/ z t))
86.0ms	(* (- y x) (/ z t))

simplify1.1s

Counts

140 → 140

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	1628
1	387	1576
2	1756	1430
done	5002	1419

prune956.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes766.0ms

Accuracy

9.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	47
1	28	35
done	28	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

597.0ms

10666×

body

valid