Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

281×

body

valid

simplify174.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	56	9
4	85	9
5	111	9
6	136	9
7	148	9
8	157	9
done	157	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.0b	(/ (* x (- y z)) (- t z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

28.0ms	(* x (- y z))
42.0ms	(/ (* x (- y z)) (- t z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (- y z))
87.0ms	(/ (* x (- y z)) (- t z))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	157	1123
1	347	936
2	1005	772
done	5000	748

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.6b	(/ x (/ (- t z) (- y z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

30.0ms	(/ (- t z) (- y z))
32.0ms	(/ x (/ (- t z) (- y z)))

series277.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- t z) (- y z))
207.0ms	(/ x (/ (- t z) (- y z)))

simplify1.3s

Counts

204 → 204

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	274	3524
1	625	3300
2	2249	3198
done	5000	3192

prune582.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `associate-r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 158

Calls

4 calls:

167.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
14.0ms	(cbrt (/ (- t z) (- y z)))
15.0ms	(cbrt (/ (- t z) (- y z)))
14.0ms	(cbrt (/ (- t z) (- y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
380.0ms	(cbrt (/ (- t z) (- y z)))
420.0ms	(cbrt (/ (- t z) (- y z)))
434.0ms	(cbrt (/ (- t z) (- y z)))

simplify2.5s

Counts

170 → 170

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	224	3436
1	464	3311
2	1092	2782
3	2992	2673
done	5001	2619

prune723.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
8.3b	(* (/ x (- t z)) (- y z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
34×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 109

Calls

2 calls:

12.0ms	(/ x (- t z))
82.0ms	(* (/ x (- t z)) (- y z))

series280.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (- t z))
244.0ms	(* (/ x (- t z)) (- y z))

simplify1.3s

Counts

115 → 115

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	194	1693
1	457	1501
2	1273	1335
done	5000	1311

prune409.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
done	8	9

end0.0ms

sample957.0ms

Algorithm

intervals

Results

468.0ms

8758×

body

valid