Details

sample97.0ms

Algorithm

intervals

Results

22.0ms	46×	body	10240	exit
22.0ms	43×	body	1280	valid
15.0ms	51×	body	640	valid
7.0ms	122×	body	80	valid
5.0ms	27×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	83×	body	80	nan
2.0ms	6×	body	1280	nan
1.0ms	12×	body	160	valid
1.0ms	5×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	2×	body	160	nan

simplify27.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	47	13
4	67	13
5	95	13
6	159	13
7	204	13
8	382	13
9	535	13
10	636	13
11	735	13
12	1049	13
13	3534	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.3b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
22.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
8.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp z))
154.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify565.0ms

Counts

92 → 92

Iterations

Useful iterations: done (562.0ms)

Iter	Nodes	Cost
0	203	1436
1	468	1388
2	1683	1269
done	5001	1268

prune263.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.7b	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

15.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
3.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
12.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
15.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

series399.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
117.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

simplify509.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	157	1939
1	404	1863
2	1470	1721
done	5000	1721

prune290.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.9b	(/ (* z y) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

27.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.0ms	(/ (* z y) t)

series101.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify1.3s

Counts

43 → 43

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	86	587
1	211	564
2	744	506
3	3241	506
done	5000	506

prune124.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
5.0b	(* (* z y) (/ 1 t))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `times-frac`
7×	`pow1` `add-log-exp`
6×	`cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `diff-log` `1-exp`
1×	`sub-neg` `flip3--` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

93.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
17.0ms	(* (* z y) (/ 1 t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
19.0ms	(* (* z y) (/ 1 t))

simplify879.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	125	862
1	354	709
2	1402	595
done	5000	595

prune113.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.4b

regimes510.0ms

Accuracy

53.5% (6.1b remaining)

Error of 9.8b against oracle of 3.7b and baseline of 16.8b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	79
1	48	79
done	48	79

end0.0ms

sample3.0s

Algorithm

intervals

Results

726.0ms	1406×	body	1280	valid
718.0ms	1490×	body	10240	exit
458.0ms	1612×	body	640	valid
207.0ms	3515×	body	80	valid
163.0ms	903×	body	320	valid
108.0ms	84×	body	2560	valid
89.0ms	2485×	body	80	nan
59.0ms	502×	body	160	valid
52.0ms	264×	body	640	nan
29.0ms	104×	body	1280	nan
24.0ms	197×	body	320	nan
9.0ms	115×	body	160	nan