Details

sample203.0ms

Algorithm

intervals

Results

45.0ms	44×	body	1280	valid
34.0ms	34×	body	10240	exit
31.0ms	50×	body	640	valid
14.0ms	111×	body	80	valid
13.0ms	31×	body	320	valid
10.0ms	4×	body	2560	valid
6.0ms	72×	body	80	nan
5.0ms	17×	body	160	valid
3.0ms	7×	body	640	nan
2.0ms	6×	body	320	nan
1.0ms	3×	body	160	nan
1.0ms	1×	body	1280	nan

simplify2.8s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
4.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite128.0ms

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-+l+` `sum-log` `div-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* y (exp z))
57.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
16.0ms	(log (+ (- 1.0 y) (* y (exp z))))
45.0ms	(+ (- 1.0 y) (* y (exp z)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (exp z))
270.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
96.0ms	(log (+ (- 1.0 y) (* y (exp z))))
64.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1816
1	464
0	197

prune574.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* z 1.0))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
5.7b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* 0.5 (pow z 2))
14.0ms	(+ (* 0.5 (pow z 2)) (* z 1.0))
21.0ms	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
42.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

series434.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 0.5 (pow z 2))
117.0ms	(+ (* 0.5 (pow z 2)) (* z 1.0))
97.0ms	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
186.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2104
1	453
0	172

prune686.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 0.5 z) z) (* 1.0 z))
0.5b	(/ 1 (/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y))))
2.4b	(* (+ (* (* 0.5 z) z) (* 1.0 z)) y)
5.9b	(/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `associate-l`
3×	`associate-r`
2×	`rec-exp` `clear-num` `frac-2neg` `distribute-rgt-out` `1-exp` `associate-*l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

29.0ms	(+ (* (* 0.5 z) z) (* 1.0 z))
20.0ms	(/ 1 (/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y))))
55.0ms	(* (+ (* (* 0.5 z) z) (* 1.0 z)) y)
19.0ms	(/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* (* 0.5 z) z) (* 1.0 z))
229.0ms	(/ 1 (/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y))))
84.0ms	(* (+ (* (* 0.5 z) z) (* 1.0 z)) y)
260.0ms	(/ t (+ (log 1.0) (* (+ (* (* 0.5 z) z) (* 1.0 z)) y)))

simplify1.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	3634
1	694
0	263

prune845.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

localize26.0ms

Local error

Found 4 expressions with local error:

5.9b	(/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0)))
21.8b	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
21.8b	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
21.8b	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `associate-/r` `pow1/3` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 101

Calls

4 calls:

31.0ms	(/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0)))
34.0ms	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
30.0ms	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
16.0ms	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))

series3.0s

Counts

4 → 12

Calls

4 calls:

383.0ms	(/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0)))
689.0ms	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
798.0ms	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))
1.1s	(cbrt (/ t (+ (* (* y z) (+ 1.0 (* z 0.5))) (log 1.0))))

simplify871.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1858
1	452
0	194

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.9b

regimes1.2s

Accuracy

73.2% (4.2b remaining)

Error of 8.5b against oracle of 4.3b and baseline of 20.1b

bsearch208.0ms

Steps

Iters	Range		Point
7	5.538891297495534e-19	3.5925222958199154e-17	4.705526175098552e-18
0	1.5267098419003533e-142	1.5696891366903245e-142	1.548199489295339e-142
9	-6.590418748316962e-09	-5.10986653714767e-17	-1.788149422936711e-10

simplify8.0ms

Iterations

Iter	Nodes
done	61
1	61
0	43

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.0s	1576×	body	10240	exit
1.8s	1491×	body	1280	valid
948.0ms	1541×	body	640	valid
415.0ms	947×	body	320	valid
394.0ms	3492×	body	80	valid
203.0ms	2464×	body	80	nan
181.0ms	77×	body	2560	valid
141.0ms	483×	body	160	valid
80.0ms	232×	body	640	nan
55.0ms	110×	body	1280	nan
48.0ms	211×	body	320	nan
18.0ms	119×	body	160	nan