Details

sample185.0ms

Algorithm

intervals

Results

59.0ms	45×	body	10240	exit
42.0ms	55×	body	1280	valid
21.0ms	47×	body	640	valid
11.0ms	113×	body	80	valid
8.0ms	28×	body	320	valid
6.0ms	93×	body	80	nan
3.0ms	15×	body	160	valid
2.0ms	7×	body	640	nan
1.0ms	4×	body	320	nan
1.0ms	1×	body	1280	nan
1.0ms	3×	body	160	nan

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4914
6	921
5	224
4	84
3	53
2	35
1	20
0	12

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.7b	(log (+ (- 1.0 y) (* y (exp z))))
1.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
62×	`add-cube-cbrt`
57×	`prod-diff`
49×	`times-frac`
18×	`pow1`
14×	`log-pow`
11×	`associate-+l+` `add-log-exp`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`fma-def`
4×	`expm1-log1p-u` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`log-prod` `associate-/r*` `fma-neg` `difference-of-squares`
2×	`sum-log` `sub-neg` `diff-log` `distribute-lft-out--` `associate--r-`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `associate-+l-` `flip--`

Counts

4 → 152

Calls

4 calls:

27.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
70.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
25.0ms	(log (+ (- 1.0 y) (* y (exp z))))
47.0ms	(+ (- 1.0 y) (* y (exp z)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
187.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
84.0ms	(log (+ (- 1.0 y) (* y (exp z))))
45.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify2.4s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	3271
1	802
0	315

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 1 expressions with local error:

3.4b	(* (/ z t) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

12.0ms

(* (/ z t) y)

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (/ z t) y)

simplify881.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	754
1	158
0	69

prune353.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.1b

localize35.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ z t) y)
20.6b	(cbrt (* (/ z t) y))
20.6b	(cbrt (* (/ z t) y))
20.6b	(cbrt (* (/ z t) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 70

Calls

4 calls:

13.0ms	(* (/ z t) y)
5.0ms	(cbrt (* (/ z t) y))
5.0ms	(cbrt (* (/ z t) y))
5.0ms	(cbrt (* (/ z t) y))

series364.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (/ z t) y)
119.0ms	(cbrt (* (/ z t) y))
119.0ms	(cbrt (* (/ z t) y))
102.0ms	(cbrt (* (/ z t) y))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	952
1	227
0	105

prune857.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

localize87.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ z t) y)
20.6b	(cbrt (* (/ z t) y))
20.6b	(cbrt (* (/ z t) y))
20.6b	(cbrt (* (* (/ z t) (* (cbrt y) (cbrt y))) (cbrt y)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 70

Calls

4 calls:

13.0ms	(* (/ z t) y)
9.0ms	(cbrt (* (/ z t) y))
9.0ms	(cbrt (* (/ z t) y))
111.0ms	(cbrt (* (* (/ z t) (* (cbrt y) (cbrt y))) (cbrt y)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (/ z t) y)
138.0ms	(cbrt (* (/ z t) y))
109.0ms	(cbrt (* (/ z t) y))
104.0ms	(cbrt (* (* (/ z t) (* (cbrt y) (cbrt y))) (cbrt y)))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1020
1	252
0	121

prune861.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

regimes2.2s

Accuracy

64.1% (4.6b remaining)

Error of 8.3b against oracle of 3.7b and baseline of 16.5b

bsearch314.0ms

Steps

Iters	Range	Point
5	8.513500786890878e-160	2.043922704750105e-159	1.8358996540630017e-159
9	-3.509948340908123e-140	-3.394549339077915e-147	-9.563892971882942e-142
8	-4.96108325192681e-05	-1.5836842351916735e-09	-3.5575906335967803e-06

Iters

Range

Point

8.513500786890878e-160

2.043922704750105e-159

1.8358996540630017e-159

-3.509948340908123e-140

-3.394549339077915e-147

-9.563892971882942e-142

-4.96108325192681e-05

-1.5836842351916735e-09

-3.5575906335967803e-06

simplify10.0ms

Iterations

Iter	Nodes
done	47
1	47
0	39

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.4s	1481×	body	10240	exit
1.2s	1483×	body	1280	valid
1.2s	1549×	body	640	valid
609.0ms	908×	body	320	valid
412.0ms	3526×	body	80	valid
231.0ms	2445×	body	80	nan
182.0ms	79×	body	2560	valid
166.0ms	484×	body	160	valid
83.0ms	260×	body	640	nan
46.0ms	200×	body	320	nan
42.0ms	90×	body	1280	nan
15.0ms	111×	body	160	nan