Details

sample58.0ms

Algorithm

intervals

Results

19.0ms	372×	body	80	valid
16.0ms	370×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	91	23
3	213	23
4	493	22
5	1031	22
6	1786	22
7	4302	22
done	5000	22

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
5.0b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
2.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series281.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
38.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
134.0ms	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
84.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: 3 (623.0ms)

Iter	Nodes	Cost
0	161	1432
1	341	1375
2	1008	1218
3	4723	1193
done	5000	1193

prune316.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite77.0ms

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

Counts

4 → 116

Calls

4 calls:

31.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
8.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
23.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

433.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(- (* (- x 0.5) (log x)) x)
258.0ms	(* (- x 0.5) (log x))
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify718.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	238	1852
1	564	1682
2	1885	1546
done	5000	1546

prune671.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
24.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series614.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
173.0ms	(cbrt x)
174.0ms	(cbrt x)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: 3 (316.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	647	794
3	2681	767
done	5000	767

prune410.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.3b	(/ 1 (/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)))
5.0b	(/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

8.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
5.0ms	(/ 1 (/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)))
2.0ms	(/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333))

series895.0ms

Counts

4 → 12

Calls

4 calls:

428.0ms	(- (* (- x 0.5) (log x)) x)
262.0ms	(* (- x 0.5) (log x))
90.0ms	(/ 1 (/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)))
115.0ms	(/ x (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333))

simplify939.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (299.0ms)

Iter	Nodes	Cost
0	310	3387
1	687	3097
2	2339	2822
done	5000	2822

prune502.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

regimes358.0ms

Accuracy

65.8% (1.0b remaining)

Error of 4.1b against oracle of 3.1b and baseline of 6.1b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	94
1	60	94
done	60	94

end0.0ms

sample1.6s

Algorithm

intervals

Results

618.0ms	11786×	body	80	valid
513.0ms	11664×	body	80	nan