Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

280×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4483
8	3142
7	1868
6	816
5	398
4	178
3	67
2	28
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.3b	(/ x (* (- y z) (- t z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-l/` `associate-r/`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 87

Calls

2 calls:

46.0ms	(* (- y z) (- t z))
18.0ms	(/ x (* (- y z) (- t z)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- y z) (- t z))
183.0ms	(/ x (* (- y z) (- t z)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5004
2	1539
1	437
0	178

prune377.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `div-inv` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
108.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt x)
220.0ms	(cbrt x)
263.0ms	(cbrt x)
200.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify1.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	2132
1	573
0	186

prune568.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.0b	(/ x (- y z))
2.3b	(* (/ x (- y z)) (/ 1 (- t z)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `cbrt-unprod` `div-inv` `flip--`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 160

Calls

3 calls:

23.0ms	(/ 1 (- t z))
22.0ms	(/ x (- y z))
76.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ 1 (- t z))
47.0ms	(/ x (- y z))
199.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.4s

Counts

169 → 169

Iterations

Iter	Nodes
done	5005
3	4400
2	1778
1	563
0	207

prune830.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

2.4b	(/ (* (* (cbrt (/ (cbrt x) (- t z))) (cbrt x)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt x))) (- y z))
6.9b	(cbrt (/ (cbrt x) (- t z)))
6.9b	(cbrt (/ (cbrt x) (- t z)))
6.9b	(cbrt (/ (cbrt x) (- t z)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

153×	`cbrt-prod`
97×	`add-sqr-sqrt` `*-un-lft-identity`
95×	`times-frac`
57×	`add-cube-cbrt`
22×	`add-exp-log`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`add-cbrt-cube`
8×	`prod-exp` `associate-/r/` `cbrt-unprod`
7×	`cbrt-div`
5×	`cbrt-undiv` `associate-/r` `div-exp` `associate-l/`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
3×	`pow1/3` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `associate-/l`

Counts

4 → 183

Calls

4 calls:

135.0ms	(/ (* (* (cbrt (/ (cbrt x) (- t z))) (cbrt x)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt x))) (- y z))
12.0ms	(cbrt (/ (cbrt x) (- t z)))
7.0ms	(cbrt (/ (cbrt x) (- t z)))
8.0ms	(cbrt (/ (cbrt x) (- t z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

764.0ms	(/ (* (* (cbrt (/ (cbrt x) (- t z))) (cbrt x)) (* (cbrt (/ (cbrt x) (- t z))) (cbrt x))) (- y z))
291.0ms	(cbrt (/ (cbrt x) (- t z)))
289.0ms	(cbrt (/ (cbrt x) (- t z)))
302.0ms	(cbrt (/ (cbrt x) (- t z)))

simplify1.9s

Counts

195 → 195

Iterations

Iter	Nodes
done	5003
2	1703
1	538
0	249

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

758.0ms

8454×

body

valid