Details

sample204.0ms

Algorithm

intervals

Results

82.0ms	821×	body	80	nan
16.0ms	19×	body	1280	valid
15.0ms	181×	body	80	valid
13.0ms	28×	body	640	valid
7.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify419.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	38	12
3	52	12
4	60	12
5	77	12
6	105	12
7	154	12
8	198	12
9	221	12
10	239	12
11	240	12
done	240	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `prod-diff` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 106

Calls

4 calls:

86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
15.0ms	(* z (log (- 1.0 y)))
14.0ms	(* x (log y))
7.0ms	(log (- 1.0 y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
100.0ms	(* z (log (- 1.0 y)))
57.0ms	(* x (log y))
63.0ms	(log (- 1.0 y))

simplify2.5s

Counts

118 → 118

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	241	1599
1	520	1423
2	1245	1242
3	3557	1137
done	5000	1137

prune561.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
6.7b	(* z (pow y 2))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`associate--l+`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`add-log-exp`
12×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `associate-r`
11×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`associate-l`
5×	`diff-log` `unswap-sqr`
4×	`expm1-log1p-u` `sub-neg` `unpow-prod-down` `fma-neg` `associate-*r/` `prod-exp` `log1p-expm1-u`
3×	`flip3--` `log-pow` `flip--`
2×	`sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `associate-+r-` `pow-prod-down` `pow-exp` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

373.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
40.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
17.0ms	(* x (log y))
24.0ms	(* z (pow y 2))

series609.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
182.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
54.0ms	(* x (log y))
41.0ms	(* z (pow y 2))

simplify1.3s

Counts

136 → 136

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	264	2925
1	617	2646
2	1746	2361
done	5000	2157

prune744.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.7b	(* z (pow y 2))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`associate-r` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
6×	`cbrt-prod` `prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow1/3` `*-commutative` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 75

Calls

4 calls:

40.0ms	(* (* 2 (log (cbrt y))) x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
25.0ms	(* z (pow y 2))

series856.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (* 2 (log (cbrt y))) x)
281.0ms	(cbrt y)
312.0ms	(cbrt y)
55.0ms	(* z (pow y 2))

simplify3.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	120	623
1	260	576
2	792	476
3	3220	462
done	5001	462

prune702.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt y))
0.7b	(cbrt (pow y 2/3))
5.9b	(pow y 2/3)
6.7b	(* z (pow y 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `unpow-prod-down`
8×	`associate-r`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `associate-l` `prod-exp`
2×	`pow-to-exp` `pow1/3` `pow-exp` `unpow2`
1×	`pow-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (pow y 2/3))
3.0ms	(pow y 2/3)
13.0ms	(* z (pow y 2))

series1.5s

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt (cbrt y))
294.0ms	(cbrt (pow y 2/3))
747.0ms	(pow y 2/3)
56.0ms	(* z (pow y 2))

simplify4.4s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	137	633
1	252	577
2	489	505
3	1163	496
4	4935	489
done	5000	489

prune623.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	42
1	41	42
done	41	42

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	23761×	body	80	nan
573.0ms	5517×	body	80	valid
408.0ms	426×	body	1280	valid
401.0ms	893×	body	640	valid
229.0ms	738×	body	320	valid
100.0ms	469×	body	160	valid