Details

sample106.0ms

Algorithm

intervals

Results

35.0ms	720×	body	80	nan
15.0ms	256×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2214
4	521
3	129
2	52
1	21
0	10

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log t) (+ y z))
0.1b	(fma x (log y) (- (log t) (+ y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u`
1×	`sum-log` `sub-neg` `flip3--` `fma-udef` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

17.0ms	(- (log t) (+ y z))
0.0ms	(fma x (log y) (- (log t) (+ y z)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (log t) (+ y z))
79.0ms	(fma x (log y) (- (log t) (+ y z)))

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1091
1	255
0	108

prune380.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.3b	(* x (log y))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`associate-+l+`
21×	`log-prod` `add-cube-cbrt`
15×	`prod-diff`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`fma-def` `add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+r+` `sum-log` `sub-neg` `associate-l` `log-pow` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `flip3--` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

11.0ms	(- (* x (log y)) y)
218.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(* x (log y))

series205.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (log y)) y)
79.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(* x (log y))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1813
1	489
0	188

prune787.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(* (cbrt y) (cbrt y))

series1.1s

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt y)
247.0ms	(cbrt y)
281.0ms	(cbrt y)
331.0ms	(* (cbrt y) (cbrt y))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	710
1	142
0	65

prune703.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
5.2b	(pow y 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(* (cbrt y) (cbrt y))
3.0ms	(pow y 1/3)

series923.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt y)
197.0ms	(cbrt y)
268.0ms	(* (cbrt y) (cbrt y))
209.0ms	(pow y 1/3)

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2018
1	259
0	95

prune759.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes695.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s	23716×	body	80	nan
1.1s	8021×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid