Details

sample113.0ms

Algorithm

intervals

Results

38.0ms	711×	body	80	nan
10.0ms	180×	body	80	valid
8.0ms	11×	body	1280	valid
8.0ms	26×	body	640	valid
5.0ms	24×	body	320	valid
2.0ms	17×	body	160	valid

simplify134.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9
done	4588	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
2.2b	(log (- 1.0 y))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

86.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
24.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series260.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
58.0ms	(* (- x 1.0) (log y))
42.0ms	(log (- 1.0 y))

simplify37.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	387	535
1	1306	476
2	5002	456
done	5002	456

prune230.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 223

Calls

4 calls:

41.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
32.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
85.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
24.0ms	(* (- x 1.0) (log y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
155.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
68.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms	(* (- x 1.0) (log y))

simplify52.0ms

Counts

235 → 235

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1332	2812
1	5001	2662
done	5001	2662

prune945.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite16.0ms

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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
174.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify88.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune453.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
0.3b	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.7b	(cbrt y)
6.1b	(pow y 2/3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

78×	`associate-*r/`
68×	`frac-add`
59×	`flip3--` `flip--`
16×	`frac-times`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `associate-l`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `flip3-+` `sum-log` `flip-+`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

40.0ms	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
54.0ms	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series758.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
250.0ms	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
177.0ms	(cbrt y)
167.0ms	(pow y 2/3)

simplify74.0ms

Counts

120 → 120

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1568	4341
1	5003	4275
done	5003	4275

prune903.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes301.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	23
1	42	23
done	42	23

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.2s	24405×	body	80	nan
327.0ms	5913×	body	80	valid
242.0ms	792×	body	640	valid
162.0ms	266×	body	1280	valid
120.0ms	638×	body	320	valid
51.0ms	435×	body	160	valid