Details

sample108.0ms

Algorithm

intervals

Results

41.0ms	867×	body	80	nan
10.0ms	37×	body	640	valid
9.0ms	172×	body	80	valid
7.0ms	12×	body	1280	valid
3.0ms	18×	body	320	valid
2.0ms	20×	body	160	valid

simplify223.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	37	12
3	47	12
4	55	12
5	72	12
6	103	12
7	151	12
8	191	12
9	214	12
10	235	12
11	237	12
done	237	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize15.0ms

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)))
0.2b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite37.0ms

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:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
73.0ms	(* z (log (- 1.0 y)))
43.0ms	(* x (log y))
51.0ms	(log (- 1.0 y))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	241	1599
1	520	1423
2	1292	1237
3	3788	1138
done	5001	1134

prune361.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))))
0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.2b	(* x (log y))
8.0b	(* z (pow y 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
31×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r` `associate--l+`
21×	`add-cube-cbrt` `associate-+r+` `*-un-lft-identity`
18×	`log-prod`
17×	`add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`div-exp`
11×	`pow1`
9×	`associate-l` `prod-diff` `add-log-exp`
8×	`pow-to-exp` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`associate-+l+` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `log-pow` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down` `sum-log`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `diff-log` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 143

Calls

4 calls:

15.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
14.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series285.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
68.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
41.0ms	(* x (log y))
37.0ms	(* z (pow y 2))

simplify1.3s

Counts

155 → 155

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	270	2165
1	611	1957
2	1773	1813
done	5000	1813

prune600.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
8.0b	(* z (pow y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series618.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt y)
192.0ms	(cbrt y)
192.0ms	(cbrt y)
37.0ms	(* z (pow y 2))

simplify3.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (206.0ms)

Iter	Nodes	Cost
0	74	457
1	146	422
2	353	369
3	919	358
4	3916	358
done	5001	358

prune438.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
8.0b	(* z (pow y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* z (pow y 2))

series608.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
189.0ms	(cbrt x)
197.0ms	(cbrt x)
33.0ms	(* z (pow y 2))

simplify2.9s

Counts

80 → 80

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	78	457
1	150	422
2	360	371
3	888	362
4	3496	359
done	5000	359

prune362.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes183.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	35
1	29	35
done	29	35

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	23984×	body	80	nan
291.0ms	5578×	body	80	valid
253.0ms	844×	body	640	valid
230.0ms	381×	body	1280	valid
134.0ms	755×	body	320	valid
51.0ms	474×	body	160	valid