Details

sample229.0ms

Algorithm

intervals

Results

48.0ms	42×	body	10240	exit
43.0ms	41×	body	1280	valid
32.0ms	50×	body	640	valid
15.0ms	109×	body	80	valid
15.0ms	36×	body	320	valid
10.0ms	3×	body	2560	valid
7.0ms	73×	body	80	nan
5.0ms	19×	body	160	valid
4.0ms	5×	body	1280	nan
3.0ms	7×	body	640	nan
2.0ms	5×	body	320	nan
0.0ms	1×	body	160	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	73	13
5	195	13
6	738	13
7	3477	13
done	5001	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(log (+ (- 1.0 y) (* y (exp z))))
2.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

22.0ms	(* y (exp z))
101.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(log (+ (- 1.0 y) (* y (exp z))))
55.0ms	(+ (- 1.0 y) (* y (exp z)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (exp z))
265.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
122.0ms	(log (+ (- 1.0 y) (* y (exp z))))
60.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	203	1436
1	478	1388
2	1863	1273
done	5001	1270

prune751.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.3b	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

53.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
17.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
40.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
73.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

series631.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
107.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
129.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
194.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

simplify1.4s

Counts

89 → 89

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	157	1939
1	430	1869
2	1904	1723
done	5001	1721

prune705.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 1 expressions with local error:

3.9b	(/ (* z y) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

22.0ms

(/ (* z y) t)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ (* z y) t)

simplify864.0ms

Counts

24 → 24

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	48	186
1	119	179
2	627	155
done	5000	149

prune236.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize30.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (/ t (* z y)))
3.8b	(/ t (* z y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

24.0ms	(/ 1 (/ t (* z y)))
19.0ms	(/ t (* z y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (/ t (* z y)))
33.0ms	(/ t (* z y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	118	866
1	295	735
2	1522	671
done	5002	665

prune400.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

regimes1.8s

Accuracy

67.6% (4.0b remaining)

Error of 7.8b against oracle of 3.8b and baseline of 16.1b

bsearch418.0ms

Steps

Iters	Range		Point
10	-1.0579751198908648e-84	-1.1341786647861381e-94	-7.056532338049478e-90
9	-5566.252036969451	-0.07102751000805992	-0.08785994638186564

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	62
1	53	62
done	53	62

end0.0ms

sample8.9s

Algorithm

intervals

Results

2.6s	1518×	body	10240	exit
1.6s	1456×	body	1280	valid
1.1s	1566×	body	640	valid
917.0ms	983×	body	320	valid
598.0ms	3502×	body	80	valid
270.0ms	2439×	body	80	nan
203.0ms	88×	body	2560	valid
172.0ms	266×	body	640	nan
114.0ms	109×	body	1280	nan
103.0ms	432×	body	160	valid
59.0ms	196×	body	320	nan
21.0ms	109×	body	160	nan