Details

sample121.0ms

Algorithm

intervals

Results

45.0ms	357×	body	80	valid
35.0ms	392×	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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333)
0.1b	(+ (fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)) (- 0.91893853320467 x))
0.2b	(fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x))
4.8b	(/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-+r+`
9×	`times-frac` `prod-diff` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `fma-udef` `associate-/l`
2×	`sum-log` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333)
23.0ms	(+ (fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)) (- 0.91893853320467 x))
0.0ms	(fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x))
4.0ms	(/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)

series580.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333)
233.0ms	(+ (fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)) (- 0.91893853320467 x))
176.0ms	(fma (log x) (- x 0.5) (/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x))
120.0ms	(/ (fma z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) 0.083333333333333) x)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1375
1	395
0	174

prune867.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y 0.0007936500793651) z)
0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma (- x 0.5) (log x) (+ (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- 0.91893853320467 x)))
4.8b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`associate-*l/` `fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

16.0ms	(* (+ y 0.0007936500793651) z)
0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma (- x 0.5) (log x) (+ (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- 0.91893853320467 x)))
4.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series791.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ y 0.0007936500793651) z)
57.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
575.0ms	(fma (- x 0.5) (log x) (+ (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- 0.91893853320467 x)))
113.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1230
1	341
0	155

prune893.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite179.0ms

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:

16.0ms	(- (* (- x 0.5) (log x)) x)
77.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
27.0ms	(* (- x 0.5) (log x))
55.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

667.0ms	(- (* (- x 0.5) (log x)) x)
702.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
360.0ms	(* (- x 0.5) (log x))
138.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2726
1	636
0	241

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
59.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series944.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt x)
266.0ms	(cbrt x)
299.0ms	(cbrt x)
112.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify966.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	823
1	232
0	101

prune857.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

regimes834.0ms

Accuracy

0% (2.2b remaining)

Error of 6.0b against oracle of 3.9b and baseline of 6.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.3s	11704×	body	80	valid
1.3s	11720×	body	80	nan