Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	345×	body	80	valid
14.0ms	318×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (123.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	92	23
3	263	23
4	576	22
5	1144	22
6	2010	22
7	4222	22
done	5000	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`associate-l`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `associate-/r` `flip--` `associate-/l`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `clear-num` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

43.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
22.0ms	(* (- x 0.5) (log x))
19.0ms	(- (* (- x 0.5) (log x)) x)
48.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series830.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
277.0ms	(* (- x 0.5) (log x))
423.0ms	(- (* (- x 0.5) (log x)) x)
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	238	1762
1	549	1631
2	1614	1470
done	5001	1437

prune426.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- x 0.5) (log (sqrt x))) (- (* (- x 0.5) (log (sqrt x))) x))
0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(* (- x 0.5) (log (sqrt x)))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
41×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
24×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
17×	`associate-+r+`
12×	`pow1` `associate-+l+` `associate-r` `associate--l+`
10×	`add-exp-log` `associate-l` `add-cbrt-cube`
9×	`times-frac` `add-log-exp`
8×	`associate-*l/`
6×	`flip3--` `log-pow` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`prod-diff` `associate-/r` `associate-/l`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 158

Calls

4 calls:

49.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (- x 0.5) (log (sqrt x))) x))
26.0ms	(* (- x 0.5) (log (sqrt x)))
24.0ms	(* (- x 0.5) (log (sqrt x)))
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series461.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (- x 0.5) (log (sqrt x))) x))
98.0ms	(* (- x 0.5) (log (sqrt x)))
104.0ms	(* (- x 0.5) (log (sqrt x)))
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.5s

Counts

170 → 170

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	269	3067
1	747	2641
2	2488	2424
done	5000	2387

prune694.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt (sqrt x))))
0.2b	(* (- x 0.5) (+ (log (sqrt x)) (log (sqrt (sqrt x)))))
0.3b	(+ (log (sqrt x)) (log (sqrt (sqrt x))))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

56×	`log-pow`
44×	`*-un-lft-identity`
43×	`pow1`
36×	`add-sqr-sqrt`
33×	`log-prod`
31×	`sqrt-pow1`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`associate-r`
21×	`pow1/2`
16×	`distribute-rgt-out`
12×	`distribute-lft-out`
10×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
9×	`associate-+r+` `times-frac`
6×	`associate-+l+` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `distribute-rgt1-in` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 176

Calls

4 calls:

27.0ms	(* (- x 0.5) (log (sqrt (sqrt x))))
63.0ms	(* (- x 0.5) (+ (log (sqrt x)) (log (sqrt (sqrt x)))))
20.0ms	(+ (log (sqrt x)) (log (sqrt (sqrt x))))
54.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series895.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (- x 0.5) (log (sqrt (sqrt x))))
253.0ms	(* (- x 0.5) (+ (log (sqrt x)) (log (sqrt (sqrt x)))))
167.0ms	(+ (log (sqrt x)) (log (sqrt (sqrt x))))
93.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.8s

Counts

188 → 188

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	345	2833
1	883	2590
2	3036	2337
done	5001	2318

prune829.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt (sqrt x)))))) (* (- x 0.5) (log (cbrt (sqrt (sqrt x))))))
0.6b	(cbrt (sqrt (sqrt x)))
0.6b	(cbrt (sqrt (sqrt x)))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `log-prod` `sqrt-prod`
60×	`distribute-rgt-in` `distribute-lft-in`
48×	`associate-+l+`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `flip3--` `frac-add` `flip--` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 160

Calls

4 calls:

48.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt (sqrt x)))))) (* (- x 0.5) (log (cbrt (sqrt (sqrt x))))))
2.0ms	(cbrt (sqrt (sqrt x)))
2.0ms	(cbrt (sqrt (sqrt x)))
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

626.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt (sqrt x)))))) (* (- x 0.5) (log (cbrt (sqrt (sqrt x))))))
156.0ms	(cbrt (sqrt (sqrt x)))
157.0ms	(cbrt (sqrt (sqrt x)))
95.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	316	3435
1	848	2736
2	2654	2520
done	5000	2494

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.3b

regimes326.0ms

Accuracy

0% (2.2b remaining)

Error of 6.4b against oracle of 4.1b and baseline of 6.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	52
1	45	52
done	45	52

end0.0ms

sample1.8s

Algorithm

intervals

Results

596.0ms	11592×	body	80	valid
509.0ms	11447×	body	80	nan