Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

288×

body

valid

simplify897.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	670
6	223
5	122
4	88
3	60
2	38
1	19
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
9.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `flip3--` `fma-neg` `prod-diff` `flip--` `associate-/l`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

8.0ms	(- t (* a z))
27.0ms	(/ (- x (* y z)) (- t (* a z)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- t (* a z))
115.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1082
1	253
0	99

prune572.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
9.7b	(/ (- x (* z y)) (- t (* a z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `flip3--` `fma-neg` `prod-diff` `flip--` `associate-/l`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

5.0ms	(- t (* a z))
16.0ms	(/ (- x (* z y)) (- t (* a z)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- t (* a z))
126.0ms	(/ (- x (* z y)) (- t (* a z)))

simplify1.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1082
1	253
0	99

prune507.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.7b

localize36.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (cbrt (- x (* z y))) (- t (* a z)))
6.9b	(cbrt (- x (* z y)))
6.9b	(cbrt (- x (* z y)))
6.9b	(cbrt (- x (* z y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`flip3--` `add-cbrt-cube` `flip--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `pow1/3`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

14.0ms	(/ (cbrt (- x (* z y))) (- t (* a z)))
3.0ms	(cbrt (- x (* z y)))
3.0ms	(cbrt (- x (* z y)))
3.0ms	(cbrt (- x (* z y)))

series871.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(/ (cbrt (- x (* z y))) (- t (* a z)))
186.0ms	(cbrt (- x (* z y)))
164.0ms	(cbrt (- x (* z y)))
214.0ms	(cbrt (- x (* z y)))

simplify2.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
3	3764
2	1010
1	327
0	142

prune888.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.6b

localize67.0ms

Local error

Found 4 expressions with local error:

7.8b	(/ (- x (* z y)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
8.8b	(cbrt (- t (* a z)))
8.8b	(cbrt (- t (* a z)))
8.8b	(cbrt (- t (* a z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 79

Calls

4 calls:

40.0ms	(/ (- x (* z y)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
5.0ms	(cbrt (- t (* a z)))
5.0ms	(cbrt (- t (* a z)))
5.0ms	(cbrt (- t (* a z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

706.0ms	(/ (- x (* z y)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
177.0ms	(cbrt (- t (* a z)))
175.0ms	(cbrt (- t (* a z)))
173.0ms	(cbrt (- t (* a z)))

simplify2.0s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1395
1	462
0	170

prune797.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.6b

regimes887.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

526.0ms

8739×

body

valid