Details

sample279.0ms

Algorithm

intervals

Results

85.0ms	756×	body	80	nan
54.0ms	22×	body	640	valid
26.0ms	186×	body	80	valid
20.0ms	13×	body	1280	valid
7.0ms	17×	body	320	valid
4.0ms	18×	body	160	valid

simplify9.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2719
6	1159
5	607
4	287
3	116
2	49
1	26
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
6.6b	(log (- 1.0 y))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

64.0ms	(* (- z 1.0) (log (- 1.0 y)))
155.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
44.0ms	(* (- x 1.0) (log y))
10.0ms	(log (- 1.0 y))

series1.0s

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (- z 1.0) (log (- 1.0 y)))
720.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
131.0ms	(* (- x 1.0) (log y))
84.0ms	(log (- 1.0 y))

simplify5.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1526
1	531
0	231

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0)))))
0.1b	(* (- x 1.0) (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `flip3--` `flip--`
25×	`*-un-lft-identity`
24×	`log-prod` `associate-*l/`
16×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `frac-add`
13×	`associate--l+`
12×	`frac-times`
11×	`add-log-exp`
10×	`pow1` `associate-+r+` `associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `associate-*r/`
5×	`sub-neg` `distribute-lft-out--`
4×	`difference-of-squares`
2×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 129

Calls

4 calls:

728.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))
196.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))) t)
94.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0)))))
50.0ms	(* (- x 1.0) (log y))

series1.0s

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))
477.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0))))) t)
320.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1/2 (* (/ y 1.0) (/ y 1.0))) (* y 1.0)))))
116.0ms	(* (- x 1.0) (log y))

simplify9.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	4183
1	926
0	320

prune4.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize327.0ms

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)

rewrite44.0ms

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:

22.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
8.0ms	(cbrt y)
2.0ms	(cbrt y)

series4.7s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt y) (cbrt y))
1.1s	(cbrt y)
1.1s	(cbrt y)
1.4s	(cbrt y)

simplify12.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	3625
3	1001
2	372
1	137
0	61

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize348.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

48.0ms	(* (cbrt (log y)) (cbrt (log y)))
2.0ms	(cbrt (log y))
13.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))

series4.5s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (log y)) (cbrt (log y)))
946.0ms	(cbrt (log y))
796.0ms	(cbrt (log y))
1.4s	(cbrt (log y))

simplify13.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4606
3	1179
2	393
1	146
0	62

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample20.7s

Algorithm

intervals

Results

13.0s	23973×	body	80	nan
2.9s	5823×	body	80	valid
1.1s	778×	body	640	valid
927.0ms	672×	body	320	valid
647.0ms	289×	body	1280	valid
187.0ms	479×	body	160	valid