Details

sample205.0ms

Algorithm

intervals

Results

40.0ms	44×	body	1280	valid
36.0ms	31×	body	320	valid
31.0ms	34×	body	10240	exit
25.0ms	50×	body	640	valid
11.0ms	111×	body	80	valid
9.0ms	4×	body	2560	valid
5.0ms	72×	body	80	nan
4.0ms	17×	body	160	valid
2.0ms	7×	body	640	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan
0.0ms	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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

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))
74.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
29.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
32.0ms	(+ (* y (exp z)) (- 1.0 y))

series527.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (exp z))
290.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
120.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
76.0ms	(+ (* y (exp z)) (- 1.0 y))

simplify1.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1789
1	460
0	195

prune640.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

20.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
34.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
50.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

series467.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
147.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
197.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

simplify1.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
2	1783
1	362
0	131

prune567.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
61×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `add-cube-cbrt`
24×	`add-exp-log`
18×	`associate-/r*` `add-cbrt-cube`
12×	`pow1`
11×	`associate-/r/`
8×	`div-exp`
7×	`flip3-+` `flip-+`
6×	`associate-l` `associate-r/` `div-inv` `associate-/l`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `*-commutative`
1×	`pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

20.0ms	(* z (+ (* z 0.5) 1.0))
84.0ms	(/ 1 (/ t (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0))))
33.0ms	(* y (* z (+ (* z 0.5) 1.0)))
65.0ms	(/ t (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0)))

series948.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* z (+ (* z 0.5) 1.0))
294.0ms	(/ 1 (/ t (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0))))
91.0ms	(* y (* z (+ (* z 0.5) 1.0)))
419.0ms	(/ t (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0)))

simplify1.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
2	3841
1	777
0	284

prune947.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ (* z 0.5) 1.0))
0.3b	(/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0)))
2.4b	(* y (* z (+ (* z 0.5) 1.0)))
5.8b	(/ (/ 1 t) (/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0))))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
227×	`add-sqr-sqrt`
225×	`*-un-lft-identity` `add-cube-cbrt`
55×	`add-exp-log`
34×	`div-exp`
32×	`div-inv`
31×	`associate-/r/`
25×	`add-cbrt-cube`
18×	`associate-/r*`
17×	`flip3-+` `flip-+`
16×	`associate-/l*`
12×	`pow1`
9×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`associate-l` `associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

38.0ms	(* z (+ (* z 0.5) 1.0))
82.0ms	(/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0)))
50.0ms	(* y (* z (+ (* z 0.5) 1.0)))
108.0ms	(/ (/ 1 t) (/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0))))

series655.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (+ (* z 0.5) 1.0))
244.0ms	(/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0)))
79.0ms	(* y (* z (+ (* z 0.5) 1.0)))
239.0ms	(/ (/ 1 t) (/ 1 (+ (* y (* z (+ (* z 0.5) 1.0))) (log 1.0))))

simplify920.0ms

Counts

346 → 346

Iterations

Iter	Nodes
done	5001
1	1846
0	559

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 3.2b

regimes892.0ms

Accuracy

71.6% (4.9b remaining)

Error of 8.5b against oracle of 3.7b and baseline of 20.8b

bsearch242.0ms

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

simplify16.0ms

Iterations

Iter	Nodes
done	68
2	68
1	67
0	50

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.0s	1576×	body	10240	exit
1.8s	1491×	body	1280	valid
754.0ms	1541×	body	640	valid
432.0ms	3492×	body	80	valid
331.0ms	947×	body	320	valid
267.0ms	2464×	body	80	nan
185.0ms	77×	body	2560	valid
123.0ms	483×	body	160	valid
89.0ms	110×	body	1280	nan
82.0ms	232×	body	640	nan
52.0ms	211×	body	320	nan
50.0ms	119×	body	160	nan