Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.5b	(* (/ x y) (- z t))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

21.0ms	(+ (* (/ x y) (- z t)) t)
40.0ms	(* (/ x y) (- z t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* (/ x y) (- z t)) t)
62.0ms	(* (/ x y) (- z t))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	1645
1	451	1317
2	1231	1118
done	5000	1088

prune296.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
120.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series817.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt x)
257.0ms	(cbrt x)
248.0ms	(cbrt x)
71.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify2.1s

Counts

154 → 154

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	270	4510
1	808	4114
2	3284	2164
done	5000	1453

prune309.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ t (* (/ x y) (- z t)))
7.5b	(* (/ x y) (- z t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 100

Calls

2 calls:

18.0ms	(+ t (* (/ x y) (- z t)))
50.0ms	(* (/ x y) (- z t))

series102.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ t (* (/ x y) (- z t)))
57.0ms	(* (/ x y) (- z t))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	190	1641
1	461	1385
2	1277	1132
done	5000	1084

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.4b	(cbrt (/ x y))
10.4b	(cbrt (/ x y))
10.4b	(cbrt (/ x y))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

129.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))

series369.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
90.0ms	(cbrt (/ x y))
100.0ms	(cbrt (/ x y))
96.0ms	(cbrt (/ x y))

simplify1.5s

Counts

175 → 175

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	280	4101
1	709	3711
2	1747	2501
done	5000	2055

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample986.0ms

Algorithm

intervals

Results

577.0ms

10700×

body

valid