Details

sample191.0ms

Algorithm

intervals

Results

47.0ms	51×	body	10240	exit
37.0ms	40×	body	1280	valid
23.0ms	45×	body	640	valid
12.0ms	118×	body	80	valid
10.0ms	28×	body	320	valid
7.0ms	94×	body	80	nan
5.0ms	23×	body	160	valid
4.0ms	2×	body	2560	valid
4.0ms	11×	body	640	nan
2.0ms	4×	body	1280	nan
2.0ms	9×	body	320	nan
1.0ms	7×	body	160	nan

simplify681.0ms

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	66	13
5	78	13
6	100	13
7	126	13
8	150	13
9	203	13
10	284	13
11	290	13
done	290	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
3.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite171.0ms

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:

23.0ms	(* y (exp z))
75.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
28.0ms	(log (+ (- 1.0 y) (* y (exp z))))
41.0ms	(+ (- 1.0 y) (* y (exp z)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (exp z))
256.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
104.0ms	(log (+ (- 1.0 y) (* y (exp z))))
51.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify2.9s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1247	1271
3	3833	1268
done	5002	1268

prune502.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ (* z y) t)
4.4b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.9b	(* (pow z 2) y)
7.0b	(/ (* (pow z 2) y) t)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

22.0ms	(/ (* z y) t)
82.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

series209.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* z y) t)
132.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
25.0ms	(* (pow z 2) y)
26.0ms	(/ (* (pow z 2) y) t)

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: 2 (461.0ms)

Iter	Nodes	Cost
0	171	1403
1	491	1310
2	2006	1169
done	5000	1169

prune494.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize28.0ms

Local error

Found 4 expressions with local error:

7.0b	(/ (* (pow z 2) y) t)
21.3b	(cbrt (/ (* z y) t))
21.3b	(cbrt (/ (* z y) t))
21.3b	(cbrt (/ (* z y) t))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

12.0ms	(/ (* (pow z 2) y) t)
5.0ms	(cbrt (/ (* z y) t))
19.0ms	(cbrt (/ (* z y) t))
5.0ms	(cbrt (/ (* z y) t))

series443.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* (pow z 2) y) t)
126.0ms	(cbrt (/ (* z y) t))
148.0ms	(cbrt (/ (* z y) t))
130.0ms	(cbrt (/ (* z y) t))

simplify3.0s

Counts

83 → 83

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	106	882
1	214	845
2	681	772
3	3273	748
done	5001	712

prune531.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize89.0ms

Local error

Found 4 expressions with local error:

21.3b	(cbrt (/ (* z y) t))
21.3b	(cbrt (/ (* z y) t))
21.3b	(cbrt (/ (* z y) t))
21.3b	(cbrt (/ (* z y) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

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

series510.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (/ (* z y) t))
118.0ms	(cbrt (/ (* z y) t))
119.0ms	(cbrt (/ (* z y) t))
136.0ms	(cbrt (/ (* z y) t))

simplify3.4s

Counts

76 → 76

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	66	824
1	107	800
2	225	748
3	621	716
4	1827	668
done	5001	632

prune571.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

regimes1.1s

Accuracy

67.9% (5.4b remaining)

Error of 9.0b against oracle of 3.6b and baseline of 20.4b

bsearch345.0ms

Steps

Iters	Range		Point
5	2.3438876234318554e-39	8.017348246723114e-39	2.3844998939834902e-39
8	-9.437501128818057e-35	-1.6769430254240637e-39	-1.6284864419591178e-38
9	-0.00016144679506209454	-7.013981961232763e-11	-8.35366648890259e-06

simplify16.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	56	100
1	74	100
done	74	100

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.0s	1531×	body	10240	exit
1.7s	1469×	body	1280	valid
854.0ms	1505×	body	640	valid
348.0ms	3559×	body	80	valid
347.0ms	897×	body	320	valid
244.0ms	2675×	body	80	nan
214.0ms	90×	body	2560	valid
135.0ms	284×	body	640	nan
114.0ms	500×	body	160	valid
63.0ms	129×	body	1280	nan
41.0ms	178×	body	320	nan
16.0ms	120×	body	160	nan