Details

sample201.0ms

Algorithm

intervals

Results

46.0ms	51×	body	1280	valid
44.0ms	48×	body	10240	exit
28.0ms	52×	body	640	valid
19.0ms	32×	body	320	valid
12.0ms	109×	body	80	valid
5.0ms	74×	body	80	nan
3.0ms	9×	body	640	nan
3.0ms	12×	body	320	nan
3.0ms	1×	body	2560	valid
2.0ms	4×	body	1280	nan
2.0ms	11×	body	160	valid
0.0ms	3×	body	160	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	35	12
3	53	12
4	84	12
5	224	12
6	925	12
7	4874	12
done	5000	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.2b	(log (+ (- 1.0 y) (* y (exp z))))
2.5b	(+ (- 1.0 y) (* y (exp z)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `associate-+l+`
9×	`prod-diff` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`fma-def` `log-pow`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

25.0ms	(* y (exp z))
115.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
21.0ms	(log (+ (- 1.0 y) (* y (exp z))))
50.0ms	(+ (- 1.0 y) (* y (exp z)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (exp z))
212.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
117.0ms	(log (+ (- 1.0 y) (* y (exp z))))
57.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	222	1658
1	525	1552
2	2027	1324
done	5001	1312

prune618.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.1b

localize38.0ms

Local error

Found 4 expressions with local error:

3.9b	(fma 1.0 (/ (* z y) t) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
5.6b	(/ (* z y) t)
5.8b	(/ (* (pow z 2) y) t)
7.3b	(* (pow z 2) y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma 1.0 (/ (* z y) t) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
24.0ms	(/ (* z y) t)
13.0ms	(/ (* (pow z 2) y) t)
15.0ms	(* (pow z 2) y)

series224.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(fma 1.0 (/ (* z y) t) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
31.0ms	(/ (* z y) t)
23.0ms	(/ (* (pow z 2) y) t)
21.0ms	(* (pow z 2) y)

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	1034
1	316	985
2	1844	858
done	5001	854

prune567.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize37.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
3.9b	(fma 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
5.8b	(/ (* (pow z 2) y) t)
7.3b	(* (pow z 2) y)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`add-exp-log`
31×	`times-frac`
25×	`associate-r` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-l`
14×	`prod-exp`
11×	`cbrt-prod` `div-exp`
10×	`cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `fma-udef` `associate-/l*`

Counts

4 → 125

Calls

4 calls:

90.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
1.0ms	(fma 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
29.0ms	(/ (* (pow z 2) y) t)
13.0ms	(* (pow z 2) y)

series379.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
220.0ms	(fma 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
37.0ms	(/ (* (pow z 2) y) t)
36.0ms	(* (pow z 2) y)

simplify2.1s

Counts

137 → 137

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	217	1953
1	612	1875
2	3873	1512
done	5000	1391

prune751.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize52.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y)))
3.9b	(fma 1.0 (* (* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
5.8b	(/ (* (pow z 2) y) t)
7.3b	(* (pow z 2) y)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`prod-exp`
15×	`associate-l`
13×	`cbrt-unprod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`div-exp`
7×	`times-frac`
6×	`cbrt-undiv` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r*`
2×	`pow-to-exp` `pow-exp` `*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`frac-2neg` `associate-l/` `clear-num` `fma-udef` `associate-/l`

Counts

4 → 99

Calls

4 calls:

59.0ms	(* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y)))
1.0ms	(fma 1.0 (* (* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
20.0ms	(/ (* (pow z 2) y) t)
14.0ms	(* (pow z 2) y)

series296.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y)))
122.0ms	(fma 1.0 (* (* (/ z (* (cbrt t) (cbrt t))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt t))) (fma (/ (* (pow z 2) y) t) 0.5 (/ (log 1.0) t)))
26.0ms	(/ (* (pow z 2) y) t)
27.0ms	(* (pow z 2) y)

simplify946.0ms

Counts

111 → 111

Iterations

Useful iterations: done (940.0ms)

Iter	Nodes	Cost
0	193	1660
1	490	1597
2	2289	1330
done	5000	1300

prune919.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

regimes585.0ms

Accuracy

73.7% (4.3b remaining)

Error of 8.1b against oracle of 3.7b and baseline of 20.2b

bsearch109.0ms

Steps

Iters	Range		Point
10	-1106898266.2167518	-1.4982150177354391e-05	-1.9853915267026948e-05

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	72
1	42	72
done	42	72

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.4s	1549×	body	10240	exit
1.2s	1433×	body	1280	valid
1.1s	1531×	body	640	valid
522.0ms	2518×	body	80	nan
354.0ms	3542×	body	80	valid
256.0ms	927×	body	320	valid
145.0ms	69×	body	2560	valid
129.0ms	530×	body	160	valid
99.0ms	186×	body	320	nan
84.0ms	269×	body	640	nan
44.0ms	99×	body	1280	nan
14.0ms	103×	body	160	nan