Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

320×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	95	8
5	137	8
6	178	8
7	218	8
8	267	8
9	372	8
10	467	8
11	526	8
12	585	8
13	630	8
14	668	8
15	797	8
16	935	8
17	1249	8
18	1736	8
19	2348	8
20	2517	8
21	2524	8
done	2524	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify824.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	93	138
3	266	123
4	1166	123
done	5000	123

prune59.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- z x) (/ y t)) x)
7.7b	(* (- z x) (/ y t))

rewrite95.0ms

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×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

32.0ms	(+ (* (- z x) (/ y t)) x)
60.0ms	(* (- z x) (/ y t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (- z x) (/ y t)) x)
61.0ms	(* (- z x) (/ y t))

simplify3.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	119	705
1	302	653
2	1099	609
3	4485	576
done	5000	576

prune191.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
1.0b	(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

rewrite103.0ms

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 t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
95.0ms	(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

series826.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt t)
201.0ms	(cbrt t)
218.0ms	(cbrt t)
208.0ms	(* (- z x) (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	148	1095
1	385	1021
2	1525	780
done	5000	745

prune455.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt (* (- z x) (/ y t)))
7.7b	(* (- z x) (/ y t))
7.7b	(* (- z x) (/ y t))
7.7b	(* (- z x) (/ y t))

rewrite163.0ms

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:

11.0ms	(cbrt (* (- z x) (/ y t)))
46.0ms	(* (- z x) (/ y t))
45.0ms	(* (- z x) (/ y t))
56.0ms	(* (- z x) (/ y t))

series408.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (* (- z x) (/ y t)))
68.0ms	(* (- z x) (/ y t))
74.0ms	(* (- z x) (/ y t))
74.0ms	(* (- z x) (/ y t))

simplify3.2s

Counts

148 → 148

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	166	1694
1	380	1624
2	1286	1478
3	4875	1430
done	5000	1430

prune699.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

494.0ms

10650×

body

valid