Details

sample79.0ms

Algorithm

intervals

Results

21.0ms	298×	body	80	valid
15.0ms	293×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	4010
4	996
3	269
2	84
1	30
0	15

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- 0.5 a))
0.0b	(+ (* z (log t)) (* b (- 0.5 a)))
0.1b	(- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z))
0.2b	(* z (log t))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

16.0ms	(* b (- 0.5 a))
9.0ms	(+ (* z (log t)) (* b (- 0.5 a)))
59.0ms	(- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z))
15.0ms	(* z (log t))

series435.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* b (- 0.5 a))
125.0ms	(+ (* z (log t)) (* b (- 0.5 a)))
188.0ms	(- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z))
62.0ms	(* z (log t))

simplify908.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	2061
1	538
0	202

prune713.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

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:

17.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt t) (cbrt t))
268.0ms	(cbrt t)
261.0ms	(cbrt t)
293.0ms	(cbrt t)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune693.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(* (cbrt (log t)) (cbrt (log t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`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 → 81

Calls

4 calls:

2.0ms	(cbrt (log t))
2.0ms	(cbrt (log t))
2.0ms	(cbrt (log t))
20.0ms	(* (cbrt (log t)) (cbrt (log t)))

series1.8s

Counts

4 → 12

Calls

4 calls:

448.0ms	(cbrt (log t))
443.0ms	(cbrt (log t))
460.0ms	(cbrt (log t))
465.0ms	(* (cbrt (log t)) (cbrt (log t)))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	616
1	148
0	62

prune584.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z (pow (pow (log t) 2) 1/3)) (cbrt (log t)))
0.5b	(cbrt (log t))
0.5b	(pow (log t) 2)
1.2b	(pow (pow (log t) 2) 1/3)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `prod-exp`
9×	`pow-exp`
8×	`cbrt-prod` `add-cbrt-cube`
7×	`associate-r`
6×	`pow-unpow`
5×	`pow-to-exp` `cbrt-unprod`
4×	`log-pow` `add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 83

Calls

4 calls:

74.0ms	(* (* z (pow (pow (log t) 2) 1/3)) (cbrt (log t)))
2.0ms	(cbrt (log t))
5.0ms	(pow (log t) 2)
10.0ms	(pow (pow (log t) 2) 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* z (pow (pow (log t) 2) 1/3)) (cbrt (log t)))
398.0ms	(cbrt (log t))
247.0ms	(pow (log t) 2)
456.0ms	(pow (pow (log t) 2) 1/3)

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1757
1	357
0	122

prune677.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes857.0ms

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	26
1	26
0	20

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	9160×	body	80	valid
910.0ms	9089×	body	80	nan
2.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid