Details

sample149.0ms

Algorithm

intervals

Results

47.0ms	368×	body	80	valid
43.0ms	374×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4181
4	921
3	265
2	92
1	40
0	20

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

70.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
27.0ms	(- (* (- x 0.5) (log x)) x)
35.0ms	(* (- x 0.5) (log x))
82.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

685.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
727.0ms	(- (* (- x 0.5) (log x)) x)
370.0ms	(* (- x 0.5) (log x))
127.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2676
1	636
0	241

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(/ z (/ x z))
0.2b	(/ (* z 0.0027777777777778) x)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

28.0ms	(- (* (- x 0.5) (log x)) x)
29.0ms	(* (- x 0.5) (log x))
7.0ms	(/ z (/ x z))
7.0ms	(/ (* z 0.0027777777777778) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

696.0ms	(- (* (- x 0.5) (log x)) x)
421.0ms	(* (- x 0.5) (log x))
41.0ms	(/ z (/ x z))
36.0ms	(/ (* z 0.0027777777777778) x)

simplify1.8s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	4569
1	789
0	301

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

30.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt x) (cbrt x))
230.0ms	(cbrt x)
300.0ms	(cbrt x)
337.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune812.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ z x) z)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(/ (* z 0.0027777777777778) x)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

23.0ms	(* (/ z x) z)
28.0ms	(- (* (- x 0.5) (log x)) x)
29.0ms	(* (- x 0.5) (log x))
7.0ms	(/ (* z 0.0027777777777778) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (/ z x) z)
626.0ms	(- (* (- x 0.5) (log x)) x)
371.0ms	(* (- x 0.5) (log x))
30.0ms	(/ (* z 0.0027777777777778) x)

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	3115
1	573
0	220

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.7b

regimes1.1s

Accuracy

84.5% (0.9b remaining)

Error of 1.5b against oracle of 0.6b and baseline of 6.5b

bsearch1.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	76
3	76
2	73
1	69
0	53

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	11665×	body	80	valid
1.5s	11716×	body	80	nan