Details

sample183.0ms

Algorithm

intervals

Results

66.0ms	789×	body	80	nan
27.0ms	259×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	113	11
4	473	11
5	2030	11
done	5000	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity` `associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

239.0ms	(+ (- (- (* x (log y)) y) z) (log t))
14.0ms	(- (* x (log y)) y)
14.0ms	(* x (log y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
85.0ms	(- (* x (log y)) y)
55.0ms	(* x (log y))

simplify828.0ms

Counts

83 → 83

Iterations

Useful iterations: done (825.0ms)

Iter	Nodes	Cost
0	148	857
1	346	828
2	1207	764
done	5001	755

prune507.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

16.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt y) (cbrt y))
283.0ms	(cbrt y)
298.0ms	(cbrt y)
288.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune764.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

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)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt y) (cbrt y))
295.0ms	(cbrt y)
298.0ms	(cbrt y)
312.0ms	(pow (/ 1 y) -1/3)

simplify2.3s

Counts

106 → 106

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	135	788
1	375	620
2	1571	592
done	5002	580

prune924.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.5b	(pow (/ 1 (cbrt y)) -1/3)
4.4b	(pow (/ 1 (pow y 2/3)) -1/3)
5.9b	(pow y 2/3)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

59×	`unpow-prod-down`
39×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`pow-exp`
12×	`cbrt-prod`
9×	`pow-unpow`
8×	`pow1` `pow-pow` `div-exp`
6×	`pow-to-exp` `sqr-pow`
4×	`rec-exp` `1-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-flip`
2×	`pow1/3` `div-inv` `inv-pow`

Counts

4 → 120

Calls

4 calls:

2.0ms	(cbrt y)
18.0ms	(pow (/ 1 (cbrt y)) -1/3)
35.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
7.0ms	(pow y 2/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt y)
581.0ms	(pow (/ 1 (cbrt y)) -1/3)
573.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
351.0ms	(pow y 2/3)

simplify1.7s

Counts

132 → 132

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	256	1414
1	829	1133
2	2778	1043
done	5003	1035

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes636.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	40
1	34	40
done	34	40

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.9s	24225×	body	80	nan
911.0ms	8037×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid