Details

sample187.0ms

Algorithm

intervals

Results

60.0ms	663×	body	80	nan
15.0ms	168×	body	80	valid
14.0ms	14×	body	1280	valid
14.0ms	28×	body	640	valid
10.0ms	28×	body	320	valid
4.0ms	19×	body	160	valid

simplify612.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	90	13
7	187	13
8	611	13
done	5000	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`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 → 86

Calls

4 calls:

15.0ms	(* z (log (- 1.0 y)))
76.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
16.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series333.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* z (log (- 1.0 y)))
116.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
42.0ms	(* x (log y))
73.0ms	(log (- 1.0 y))

simplify939.0ms

Counts

98 → 98

Iterations

Useful iterations: done (935.0ms)

Iter	Nodes	Cost
0	209	1141
1	470	1103
2	1490	987
done	5000	966

prune698.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
53×	`*-un-lft-identity`
50×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

45.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
34.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
101.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
9.0ms	(* x (log y))

series484.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
177.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
124.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
73.0ms	(* x (log y))

simplify2.4s

Counts

207 → 207

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	376	3213
1	989	2930
2	4204	2558
done	5002	2557

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt y) (cbrt y))
251.0ms	(cbrt y)
370.0ms	(cbrt y)
300.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune641.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
9.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(pow (/ 1 y) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt y) (cbrt y))
290.0ms	(cbrt y)
280.0ms	(cbrt y)
213.0ms	(pow (/ 1 y) -1/3)

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	788
1	375	620
2	1571	592
done	5002	580

prune757.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes432.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	45
1	42	45
done	42	45

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	23684×	body	80	nan
609.0ms	5503×	body	80	valid
404.0ms	882×	body	640	valid
327.0ms	416×	body	1280	valid
255.0ms	739×	body	320	valid
77.0ms	482×	body	160	valid