Details

sample198.0ms

Algorithm

intervals

Results

74.0ms	62×	body	10240	exit
39.0ms	48×	body	1280	valid
21.0ms	54×	body	640	valid
10.0ms	114×	body	80	valid
7.0ms	26×	body	320	valid
4.0ms	63×	body	80	nan
3.0ms	2×	body	2560	valid
2.0ms	12×	body	160	valid
2.0ms	8×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	5×	body	320	nan
1.0ms	7×	body	160	nan

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3550
6	735
5	195
4	73
3	48
2	33
1	20
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
1.7b	(log (+ (* y (exp z)) (- 1.0 y)))
3.0b	(+ (* y (exp z)) (- 1.0 y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `associate-/r` `flip3-+` `associate-r` `associate-l*` `flip-+`
2×	`associate-+r+` `sum-log` `div-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* y (exp z))
73.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
15.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
17.0ms	(+ (* y (exp z)) (- 1.0 y))

series381.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (exp z))
203.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
100.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
44.0ms	(+ (* y (exp z)) (- 1.0 y))

simplify883.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1789
1	460
0	195

prune664.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* z z) (/ t y)) 0.5)
3.3b	(/ (* z 1.0) (/ t y))
3.5b	(+ (* (/ (* z z) (/ t y)) 0.5) (+ (/ (log 1.0) t) (/ (* z 1.0) (/ t y))))
8.9b	(/ (* z z) (/ t y))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
48×	`add-sqr-sqrt`
46×	`add-cbrt-cube` `add-exp-log`
41×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-/r*`
18×	`cbrt-undiv` `div-exp` `associate-l`
11×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`div-inv`
6×	`pow1`
4×	`associate-*l/` `frac-add`
3×	`sum-log` `associate-r` `associate-/r/` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l*`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `*-commutative`

Counts

4 → 152

Calls

4 calls:

44.0ms	(* (/ (* z z) (/ t y)) 0.5)
20.0ms	(/ (* z 1.0) (/ t y))
149.0ms	(+ (* (/ (* z z) (/ t y)) 0.5) (+ (/ (log 1.0) t) (/ (* z 1.0) (/ t y))))
21.0ms	(/ (* z z) (/ t y))

series279.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (/ (* z z) (/ t y)) 0.5)
50.0ms	(/ (* z 1.0) (/ t y))
150.0ms	(+ (* (/ (* z z) (/ t y)) 0.5) (+ (/ (log 1.0) t) (/ (* z 1.0) (/ t y))))
37.0ms	(/ (* z z) (/ t y))

simplify425.0ms

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
1	894
0	269

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 0.5 (/ t (* (* y z) z)))
3.5b	(+ (* (/ y (/ t z)) 1.0) (/ 0.5 (/ t (* (* y z) z))))
4.2b	(/ y (/ t z))
5.5b	(/ t (* (* y z) z))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
11×	`div-inv`
9×	`associate-/l*`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg`
2×	`associate-/r/`
1×	`+-commutative` `sum-log` `flip3-+` `associate-*l/` `frac-add` `flip-+`

Counts

4 → 155

Calls

4 calls:

37.0ms	(/ 0.5 (/ t (* (* y z) z)))
32.0ms	(+ (* (/ y (/ t z)) 1.0) (/ 0.5 (/ t (* (* y z) z))))
14.0ms	(/ y (/ t z))
26.0ms	(/ t (* (* y z) z))

series322.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ 0.5 (/ t (* (* y z) z)))
181.0ms	(+ (* (/ y (/ t z)) 1.0) (/ 0.5 (/ t (* (* y z) z))))
23.0ms	(/ y (/ t z))
45.0ms	(/ t (* (* y z) z))

simplify2.2s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	4380
1	826
0	297

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize56.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ t (* (* y z) z))
14.9b	(cbrt (/ t z))
14.9b	(cbrt (/ t z))
14.9b	(cbrt (/ t z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

28.0ms	(/ t (* (* y z) z))
4.0ms	(cbrt (/ t z))
4.0ms	(cbrt (/ t z))
4.0ms	(cbrt (/ t z))

series358.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ t (* (* y z) z))
86.0ms	(cbrt (/ t z))
118.0ms	(cbrt (/ t z))
95.0ms	(cbrt (/ t z))

simplify680.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1164
1	262
0	126

prune823.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

regimes883.0ms

Accuracy

72.1% (4.5b remaining)

Error of 8.4b against oracle of 3.9b and baseline of 20.0b

bsearch208.0ms

Steps

Iters	Range		Point
7	8.017731167648558e-137	1.1663090693353243e-134	9.324139649158486e-135
8	-2.743097940407279e-15	-8.870655314211913e-19	-3.244788512059007e-16

simplify20.0ms

Iterations

Iter	Nodes
done	59
2	59
1	58
0	48

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.7s	1391×	body	1280	valid
1.5s	1443×	body	10240	exit
955.0ms	1622×	body	640	valid
840.0ms	3546×	body	80	valid
347.0ms	2490×	body	80	nan
273.0ms	900×	body	320	valid
220.0ms	90×	body	2560	valid
129.0ms	471×	body	160	valid
120.0ms	242×	body	640	nan
53.0ms	111×	body	1280	nan
44.0ms	188×	body	320	nan
18.0ms	120×	body	160	nan