Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	346×	body	80	nan
16.0ms	298×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.0b	(- z (log z))
0.2b	(* (- 1.0 (- z (log z))) y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`associate-l` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log` `log-pow`
4×	`add-log-exp`
3×	`expm1-log1p-u` `log-prod` `fma-neg` `associate-r` `log1p-expm1-u` `associate--r+`
2×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

0.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
10.0ms	(- z (log z))
60.0ms	(* (- 1.0 (- z (log z))) y)

series415.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
221.0ms	(- z (log z))
113.0ms	(* (- 1.0 (- z (log z))) y)

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	3650
2	932
1	334
0	145

prune395.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- z (log z)))
0.1b	(sqrt (- z (log z)))
0.2b	(* (- 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))) y)
0.5b	(* (sqrt (- z (log z))) (sqrt (- z (log z))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
50×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
33×	`pow1`
20×	`distribute-lft-out--`
17×	`swap-sqr`
16×	`sqrt-div` `add-cube-cbrt`
13×	`associate-l`
12×	`associate-r`
10×	`sqrt-pow1` `pow1/2` `log-pow`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`difference-of-squares`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 137

Calls

4 calls:

16.0ms	(sqrt (- z (log z)))
16.0ms	(sqrt (- z (log z)))
20.0ms	(* (- 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))) y)
45.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (- z (log z)))
41.0ms	(sqrt (- z (log z)))
146.0ms	(* (- 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))) y)
153.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))

simplify2.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
2	1894
1	690
0	267

prune893.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- z (log z))
0.0b	(log (- z (log z)))
0.2b	(* (- 1.0 (exp (log (- z (log z))))) y)
2.8b	(exp (log (- z (log z))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`log-prod`
14×	`pow1`
12×	`prod-diff`
8×	`log-pow`
7×	`exp-sum` `add-exp-log` `distribute-lft-out--`
6×	`add-cbrt-cube` `associate-l`
5×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `log-div` `exp-prod` `flip3--` `log1p-expm1-u` `flip--`
3×	`fma-neg` `associate-r` `associate--r+`
2×	`exp-diff` `associate-*l/`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

13.0ms	(- z (log z))
11.0ms	(log (- z (log z)))
105.0ms	(* (- 1.0 (exp (log (- z (log z))))) y)
11.0ms	(exp (log (- z (log z))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(- z (log z))
58.0ms	(log (- z (log z)))
144.0ms	(* (- 1.0 (exp (log (- z (log z))))) y)
257.0ms	(exp (log (- z (log z))))

simplify3.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	4457
2	1169
1	438
0	199

prune739.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
0.5b	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
4.7b	(* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y)
6.8b	(/ (* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y) (+ 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod`
80×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
52×	`pow1`
34×	`swap-sqr`
32×	`distribute-lft-out--`
24×	`sqrt-div` `add-cube-cbrt`
22×	`associate-l`
21×	`associate-r`
16×	`sqrt-pow1` `pow1/2` `log-pow`
15×	`add-cbrt-cube` `add-exp-log`
14×	`flip3--` `flip--`
10×	`pow-prod-up`
9×	`difference-of-squares` `unswap-sqr`
8×	`frac-times` `associate-*l/`
7×	`pow-prod-down`
6×	`pow-sqr`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`pow2` `cbrt-undiv` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `div-exp` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 198

Calls

4 calls:

67.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
45.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
43.0ms	(* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y)
34.0ms	(/ (* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y) (+ 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
246.0ms	(* (sqrt (- z (log z))) (sqrt (- z (log z))))
252.0ms	(* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y)
373.0ms	(/ (* (- (* 1.0 1.0) (* (* (sqrt (- z (log z))) (sqrt (- z (log z)))) (* (sqrt (- z (log z))) (sqrt (- z (log z)))))) y) (+ 1.0 (* (sqrt (- z (log z))) (sqrt (- z (log z))))))

simplify3.5s

Counts

210 → 210

Iterations

Iter	Nodes
done	5102
2	3141
1	917
0	323

prune1.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

754.0ms	9168×	body	80	valid
713.0ms	9189×	body	80	nan