Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	257×	body	80	valid
17.0ms	270×	body	80	nan

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	274
1	21	274
2	61	274
3	184	274
4	591	274
5	1752	274
6	3919	274
done	5000	274

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(- x (* (+ y 0.5) (log y)))
124.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
31.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
25.0ms	(* (+ y 0.5) (log y))

series590.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- x (* (+ y 0.5) (log y)))
79.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
62.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
397.0ms	(* (+ y 0.5) (log y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	173	29524
1	461	26782
2	1382	25936
done	5001	25774

prune520.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (* (+ y 0.5) (log y)) y))
0.0b	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
0.1b	(- (* (+ y 0.5) (log y)) y)
0.2b	(* (+ y 0.5) (log y))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`add-sqr-sqrt` `log-prod`
15×	`associate--l+`
12×	`add-cube-cbrt`
10×	`diff-log`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate--r+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg`
4×	`associate-r` `associate-l` `distribute-lft-out--`
3×	`flip3--` `flip--`
2×	`associate-*l/` `associate--r-` `difference-of-squares`
1×	`associate--l-` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

42.0ms	(- x (- (* (+ y 0.5) (log y)) y))
241.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
12.0ms	(- (* (+ y 0.5) (log y)) y)
30.0ms	(* (+ y 0.5) (log y))

series1.3s

Counts

4 → 12

Calls

4 calls:

47.0ms	(- x (- (* (+ y 0.5) (log y)) y))
78.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
695.0ms	(- (* (+ y 0.5) (log y)) y)
440.0ms	(* (+ y 0.5) (log y))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	181	32198
1	458	29496
2	1257	28690
done	5001	28248

prune622.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 73

Calls

4 calls:

16.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt y) (cbrt y))
273.0ms	(cbrt y)
257.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify4.0s

Counts

85 → 85

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	971	13666
4	3114	13666
done	5028	13626

prune560.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y))
0.1b	(* (- (* y y) (* 0.5 0.5)) (log y))
0.1b	(- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y)
13.1b	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`log-prod` `distribute-lft-out--`
5×	`associate-/r*` `times-frac` `flip3--` `flip--` `difference-of-squares`
4×	`diff-log` `associate-r` `associate-l` `associate-*l/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate--r+` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `log-pow` `-commutative` `div-inv` `associate-/l` `associate--r-` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

92.0ms	(- x (- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y))
29.0ms	(* (- (* y y) (* 0.5 0.5)) (log y))
60.0ms	(- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y)
20.0ms	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

series2.1s

Counts

4 → 12

Calls

4 calls:

120.0ms	(- x (- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y))
691.0ms	(* (- (* y y) (* 0.5 0.5)) (log y))
757.0ms	(- (/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5)) y)
517.0ms	(/ (* (- (* y y) (* 0.5 0.5)) (log y)) (- y 0.5))

simplify2.5s

Counts

102 → 102

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	208	42668
1	544	39641
2	1908	38357
done	5004	37996

prune617.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	274
1	12	274
done	12	274

end0.0ms

sample1.6s

Algorithm

intervals

Results

675.0ms	8037×	body	80	valid
472.0ms	7963×	body	80	nan
0.0ms	1×	body	640	valid