Details

sample171.0ms

Algorithm

intervals

Results

45.0ms	60×	body	1280	valid
34.0ms	46×	body	10240	exit
18.0ms	38×	body	640	valid
11.0ms	108×	body	80	valid
8.0ms	31×	body	320	valid
5.0ms	80×	body	80	nan
4.0ms	20×	body	160	valid
3.0ms	1×	body	2560	valid
2.0ms	6×	body	640	nan
1.0ms	2×	body	1280	nan
1.0ms	4×	body	160	nan
0.0ms	2×	body	320	nan

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	73	13
5	195	13
6	738	13
7	3477	13
done	5001	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.1b	(log (+ (- 1.0 y) (* y (exp z))))
3.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

21.0ms	(* y (exp z))
98.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
43.0ms	(log (+ (- 1.0 y) (* y (exp z))))
55.0ms	(+ (- 1.0 y) (* y (exp z)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (exp z))
233.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
92.0ms	(log (+ (- 1.0 y) (* y (exp z))))
57.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.4s

Counts

92 → 92

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	203	1436
1	478	1388
2	1863	1273
done	5001	1270

prune674.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
2.1b	(log (+ 1.0 (- (* y (exp z)) y)))
4.3b	(- (* y (exp z)) y)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `log-prod` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `div-sub` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

12.0ms	(* y (exp z))
73.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
35.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
13.0ms	(- (* y (exp z)) y)

series468.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (exp z))
260.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
124.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
51.0ms	(- (* y (exp z)) y)

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	209	1388
1	484	1326
2	1913	1227
done	5001	1222

prune553.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize49.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (+ 1.0 (- (* y (exp z)) y)))
4.3b	(- (* y (exp z)) y)
4.3b	(- (* y (exp z)) y)
4.3b	(- (* y (exp z)) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
4×	`log-prod` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 51

Calls

4 calls:

41.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
24.0ms	(- (* y (exp z)) y)
18.0ms	(- (* y (exp z)) y)
13.0ms	(- (* y (exp z)) y)

series267.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
53.0ms	(- (* y (exp z)) y)
51.0ms	(- (* y (exp z)) y)
45.0ms	(- (* y (exp z)) y)

simplify709.0ms

Counts

63 → 63

Iterations

Useful iterations: done (707.0ms)

Iter	Nodes	Cost
0	107	828
1	259	768
2	1025	707
done	5001	695

prune696.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.2b

localize44.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (+ 1.0 (- (* y (exp z)) y)))
4.3b	(- (* y (exp z)) y)
4.3b	(- (* y (exp z)) y)
4.3b	(- (* y (exp z)) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
4×	`log-prod` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 51

Calls

4 calls:

42.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
22.0ms	(- (* y (exp z)) y)
19.0ms	(- (* y (exp z)) y)
24.0ms	(- (* y (exp z)) y)

series225.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
44.0ms	(- (* y (exp z)) y)
44.0ms	(- (* y (exp z)) y)
44.0ms	(- (* y (exp z)) y)

simplify768.0ms

Counts

63 → 63

Iterations

Useful iterations: done (765.0ms)

Iter	Nodes	Cost
0	107	828
1	259	768
2	1025	707
done	5001	695

prune664.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.2b

regimes540.0ms

Accuracy

60% (4.2b remaining)

Error of 8.8b against oracle of 4.7b and baseline of 15.1b

bsearch145.0ms

Steps

Iters	Range		Point
10	-460.02882835528214	-4.1640618065726785e-08	-3.2941783122131654e-07

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	35
1	33	35
done	33	35

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.6s	1402×	body	1280	valid
1.4s	1583×	body	10240	exit
1.2s	1610×	body	640	valid
402.0ms	967×	body	320	valid
376.0ms	3486×	body	80	valid
226.0ms	2499×	body	80	nan
170.0ms	97×	body	2560	valid
105.0ms	127×	body	1280	nan
82.0ms	460×	body	160	valid
82.0ms	261×	body	640	nan
46.0ms	204×	body	320	nan
18.0ms	124×	body	160	nan