Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

350×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `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 → 56

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
28.0ms	(* (- y x) (/ z t))

series99.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* (- y x) (/ z t)))
55.0ms	(* (- y x) (/ z t))

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	119	705
1	303	661
2	1124	603
3	4746	576
done	5000	576

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
57.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series952.0ms

Counts

4 → 12

Calls

4 calls:

406.0ms	(cbrt z)
200.0ms	(cbrt z)
197.0ms	(cbrt z)
150.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify831.0ms

Counts

89 → 89

Iterations

Useful iterations: done (825.0ms)

Iter	Nodes	Cost
0	148	1095
1	385	1023
2	1527	776
done	5000	741

prune287.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(* (- y x) (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
246.0ms	(* (- y x) (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt z)
181.0ms	(cbrt z)
186.0ms	(cbrt z)
153.0ms	(* (- y x) (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	180	1818
1	491	1726
2	2384	1119
done	5000	855

prune331.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite104.0ms

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:

10.0ms	(cbrt (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))
32.0ms	(* (- y x) (/ z t))
29.0ms	(* (- y x) (/ z t))

series344.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (- y x) (/ z t)))
59.0ms	(* (- y x) (/ z t))
54.0ms	(* (- y x) (/ z t))
57.0ms	(* (- y x) (/ z t))

simplify2.3s

Counts

148 → 148

Iterations

Useful iterations: done (2.2s)

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

prune465.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample638.0ms

Algorithm

intervals

Results

268.0ms

10694×

body

valid