Details

sample112.0ms

Algorithm

intervals

Results

34.0ms	311×	body	80	nan
18.0ms	285×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize17.0ms

Local error

Found 3 expressions with local error:

2.2b	(* c0 (sqrt (/ A (* V l))))
4.3b	(/ A (* V l))
13.5b	(sqrt (/ A (* V l)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 66

Calls

3 calls:

30.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* c0 (sqrt (/ A (* V l))))
38.0ms	(/ A (* V l))
66.0ms	(sqrt (/ A (* V l)))

simplify2.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	3823
2	807
1	221
0	105

prune575.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.1b

localize45.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ A (* V l))
4.3b	(/ A (* l V))
13.5b	(sqrt (/ A (* V l)))
13.5b	(sqrt (/ A (* l V)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

6.0ms	(/ A (* V l))
6.0ms	(/ A (* l V))
5.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* l V)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ A (* V l))
39.0ms	(/ A (* l V))
42.0ms	(sqrt (/ A (* V l)))
47.0ms	(sqrt (/ A (* l V)))

simplify3.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	3134
2	681
1	224
0	111

prune743.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ A (* V l))
4.3b	(/ A (* l V))
17.1b	(cbrt (/ A (* V l)))
17.1b	(cbrt (/ A (* l V)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`cbrt-div` `clear-num` `associate-/r*` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/ A (* V l))
13.0ms	(/ A (* l V))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* l V)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ A (* V l))
26.0ms	(/ A (* l V))
98.0ms	(cbrt (/ A (* V l)))
114.0ms	(cbrt (/ A (* l V)))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	3432
2	744
1	260
0	128

prune633.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 9.1b

localize81.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* c0 (sqrt (/ A (* l V)))))
13.5b	(sqrt (/ A (* l V)))
13.5b	(sqrt (/ A (* l V)))
13.5b	(sqrt (/ A (* l V)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
13×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`pow1`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`

Counts

4 → 64

Calls

4 calls:

26.0ms	(cbrt (* c0 (sqrt (/ A (* l V)))))
10.0ms	(sqrt (/ A (* l V)))
10.0ms	(sqrt (/ A (* l V)))
10.0ms	(sqrt (/ A (* l V)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (* c0 (sqrt (/ A (* l V)))))
56.0ms	(sqrt (/ A (* l V)))
43.0ms	(sqrt (/ A (* l V)))
40.0ms	(sqrt (/ A (* l V)))

simplify625.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	1092
2	332
1	153
0	93

prune616.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 9.1b

regimes958.0ms

Accuracy

-0.3% (13.0b remaining)

Error of 19.4b against oracle of 6.4b and baseline of 19.3b

bsearch376.0ms

Steps

Iters	Range		Point
7	3.4762415567430176e+137	9.220036899991912e+138	3.505014405888156e+138
11	-3.3065682043451787e-255	-8.148623819397657e-278	-1.1891074740100945e-257
7	-1.419241376206283e-142	-6.498174607631055e-144	-1.4049454919010747e-142
8	-7.150951066432917e-125	-9.53326816478898e-129	-9.678217132402726e-129

simplify10.0ms

Iterations

Iter	Nodes
done	47
2	47
1	46
0	38

end0.0ms

sample2.5s

Algorithm

intervals

Results

907.0ms	8985×	body	80	nan
448.0ms	8894×	body	80	valid