Details

sample179.0ms

Algorithm

intervals

Results

91.0ms	849×	body	80	nan
14.0ms	184×	body	80	valid
13.0ms	29×	body	640	valid
8.0ms	11×	body	1280	valid
5.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4417
5	1388
4	401
3	135
2	57
1	27
0	14

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.1b	(* (log y) (- x 1.0))
4.7b	(log (- 1.0 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log`
5×	`log-prod` `add-cbrt-cube` `associate-r` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `associate-*r/` `log-pow`
1×	`diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

5.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
21.0ms	(* (log y) (- x 1.0))
5.0ms	(log (- 1.0 y))

series425.0ms

Counts

3 → 9

Calls

3 calls:

237.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
132.0ms	(* (log y) (- x 1.0))
56.0ms	(log (- 1.0 y))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2319
1	576
0	244

prune629.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
24×	`add-cbrt-cube` `add-exp-log`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-*r/`
2×	`flip3--` `*-commutative` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-times` `diff-log` `associate--l+` `log-pow`

Counts

4 → 116

Calls

4 calls:

34.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
10.0ms	(- (fma (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0ms	(fma (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0)))
41.0ms	(* (log y) (- x 1.0))

series500.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
211.0ms	(- (fma (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0))) t)
117.0ms	(fma (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (* (log y) (- x 1.0)))
134.0ms	(* (log y) (- x 1.0))

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	3219
1	651
0	257

prune797.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite20.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series910.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt x) (cbrt x))
188.0ms	(cbrt x)
200.0ms	(cbrt x)
292.0ms	(cbrt x)

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune914.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))
42.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (- x 1.0))
104.0ms	(cbrt (- x 1.0))
100.0ms	(cbrt (- x 1.0))
140.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1550
1	411
0	171

prune917.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes820.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	30
1	30
0	25

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.8s	23794×	body	80	nan
1.2s	5823×	body	80	valid
724.0ms	261×	body	1280	valid
423.0ms	795×	body	640	valid
233.0ms	712×	body	320	valid
89.0ms	439×	body	160	valid