Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

341×

body

valid

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (- y x) (/ z t) 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:

1.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	86	138
3	255	123
4	1131	123
done	5002	123

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (- y x) (/ t z))

rewrite36.0ms

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:

24.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.6s

Counts

106 → 106

Iterations

Useful iterations: done (1.6s)

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

prune785.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.8b	(* (/ (- y x) t) z)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 80

Calls

2 calls:

36.0ms	(/ (- y x) t)
65.0ms	(* (/ (- y x) t) z)

series140.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- y x) t)
97.0ms	(* (/ (- y x) t) z)

simplify3.0s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	121	841
1	285	814
2	788	750
3	2891	738
done	5001	738

prune369.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
7.0b	(/ (* (- y x) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
25×	`add-exp-log`
22×	`associate-/r*`
18×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-*l/` `associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `associate-/l*`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
81.0ms	(/ (* (- y x) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt z)
322.0ms	(cbrt z)
312.0ms	(cbrt z)
115.0ms	(/ (* (- y x) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

simplify1.5s

Counts

123 → 123

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	188	1680
1	561	1592
2	2440	1222
done	5000	1092

prune558.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

31% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: done (11.0ms)

Iter	Nodes	Cost
0	19	52
1	24	45
2	27	37
3	30	37
done	30	36

end0.0ms

sample1.4s

Algorithm

intervals

Results

650.0ms

10685×

body

valid