Details

sample119.0ms

Algorithm

intervals

Results

40.0ms	719×	body	80	nan
18.0ms	258×	body	80	valid
0.0ms	1×	body	640	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
18×	`add-sqr-sqrt` `associate--l+`
17×	`add-log-exp`
14×	`add-cube-cbrt`
9×	`distribute-rgt-in` `pow1` `distribute-lft-in`
8×	`associate-+l+`
6×	`flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `flip--`
5×	`associate-+r+`
4×	`sum-log` `sub-neg` `associate-r` `frac-add` `distribute-lft-out--`
3×	`associate-l` `log-pow` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

59.0ms	(+ (- (* x (log y)) z) (- (log t) y))
6.0ms	(- (log t) y)
7.0ms	(- (* x (log y)) z)
13.0ms	(* x (log y))

series278.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (- (* x (log y)) z) (- (log t) y))
86.0ms	(- (log t) y)
68.0ms	(- (* x (log y)) z)
55.0ms	(* x (log y))

simplify964.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2089
1	483
0	186

prune583.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite24.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt y) (cbrt y))
287.0ms	(cbrt y)
285.0ms	(cbrt y)
284.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune581.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `pow-exp` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow (/ 1 y) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt y) (cbrt y))
255.0ms	(cbrt y)
298.0ms	(cbrt y)
203.0ms	(pow (/ 1 y) -1/3)

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1566
1	374
0	135

prune713.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
3.9b	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
5.2b	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

43×	`unpow-prod-down`
38×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `add-cube-cbrt`
22×	`cbrt-prod`
18×	`times-frac`
17×	`add-exp-log`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-pow` `add-cbrt-cube` `div-exp` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
16.0ms	(* (cbrt -1/3) (cbrt -1/3))
6.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
15.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series1.4s

Counts

4 → 10

Calls

4 calls:

302.0ms	(cbrt y)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
420.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
688.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify2.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	3993
1	624
0	186

prune965.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes427.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	24265×	body	80	nan
1.1s	8028×	body	80	valid
2.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid