Details

sample60.0ms

Algorithm

intervals

Results

27.0ms

345×

body

valid

simplify10.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	108	8
5	157	8
6	194	8
7	237	8
8	296	8
9	383	8
10	478	8
11	537	8
12	596	8
13	641	8
14	679	8
15	808	8
16	946	8
17	1261	8
18	1750	8
19	2362	8
20	2536	8
21	2543	8
done	2543	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (- y x) (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 40

Calls

1 calls:

33.0ms

(* (- y x) (/ z t))

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(* (- y x) (/ z t))

simplify3.0s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	98	465
1	239	445
2	886	403
3	3530	391
done	5000	391

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

6.2b	(/ (- y x) (/ t z))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 103

Calls

1 calls:

57.0ms

(/ (- y x) (/ t z))

series99.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(/ (- y x) (/ t z))

simplify2.4s

Counts

106 → 106

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	197	1676
1	528	1572
2	1653	1498
done	5001	1496

prune429.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (- y x) (/ z t)))
5.9b	(* (- y x) (/ z t))
5.9b	(* (- y x) (/ z t))
5.9b	(* (- y x) (/ z t))

rewrite161.0ms

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×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `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 → 136

Calls

4 calls:

15.0ms	(cbrt (* (- y x) (/ z t)))
41.0ms	(* (- y x) (/ z t))
43.0ms	(* (- y x) (/ z t))
56.0ms	(* (- y x) (/ z t))

series450.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (* (- y x) (/ z t)))
64.0ms	(* (- y x) (/ z t))
81.0ms	(* (- y x) (/ z t))
66.0ms	(* (- y x) (/ z t))

simplify4.0s

Counts

148 → 148

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	166	1694
1	380	1624
2	1288	1478
3	4883	1431
done	5000	1430

prune809.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
7.2b	(/ (* (- y x) z) t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow1` `associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

43.0ms	(* (- y x) z)
29.0ms	(/ (* (- y x) z) t)

series129.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (- y x) z)
84.0ms	(/ (* (- y x) z) t)

simplify3.1s

Counts

55 → 55

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	95	487
1	232	474
2	831	396
3	3918	396
done	5001	396

prune150.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes292.0ms

Accuracy

26.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch93.0ms

Steps

Iters	Range		Point
6	8.036335796627101e-72	5.242132222450432e-71	8.698046239578132e-72
8	-3.140542152251357e-199	-2.780134853395525e-203	-2.3628848532521864e-200

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	35
1	25	35
done	25	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

558.0ms

10711×

body

valid