Details

sample149.0ms

Algorithm

intervals

Results

32.0ms	48×	body	10240	exit
23.0ms	58×	body	640	valid
22.0ms	33×	body	1280	valid
11.0ms	130×	body	80	valid
9.0ms	5×	body	2560	valid
5.0ms	22×	body	320	valid
5.0ms	95×	body	80	nan
2.0ms	6×	body	640	nan
2.0ms	9×	body	320	nan
1.0ms	8×	body	160	valid
1.0ms	3×	body	1280	nan
0.0ms	3×	body	160	nan

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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: 22.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (fma (exp z) y (- 1.0 y))) t)
2.5b	(log (fma (exp z) y (- 1.0 y)))
3.4b	(fma (exp z) y (- 1.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow1`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`associate-/l*`
3×	`expm1-log1p-u` `log-prod` `associate-/r*` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `fma-udef` `div-inv`

Counts

3 → 57

Calls

3 calls:

14.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
2.0ms	(log (fma (exp z) y (- 1.0 y)))
0.0ms	(fma (exp z) y (- 1.0 y))

series363.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
97.0ms	(log (fma (exp z) y (- 1.0 y)))
75.0ms	(fma (exp z) y (- 1.0 y))

simplify838.0ms

Counts

66 → 66

Iterations

Useful iterations: done (836.0ms)

Iter	Nodes	Cost
0	145	1009
1	314	973
2	1140	883
done	5000	878

prune350.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.7b

localize40.0ms

Local error

Found 4 expressions with local error:

3.4b	(fma 1.0 (/ (* z y) t) (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
5.2b	(/ (* z y) t)
6.1b	(/ (* (pow z 2) y) t)
8.3b	(* (pow z 2) y)

rewrite64.0ms

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 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
13.0ms	(/ (* z y) t)
23.0ms	(/ (* (pow z 2) y) t)
25.0ms	(* (pow z 2) y)

series623.0ms

Counts

4 → 12

Calls

4 calls:

536.0ms	(fma 1.0 (/ (* z y) t) (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
29.0ms	(/ (* z y) t)
22.0ms	(/ (* (pow z 2) y) t)
36.0ms	(* (pow z 2) y)

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: 2 (319.0ms)

Iter	Nodes	Cost
0	135	1034
1	313	985
2	1815	858
done	5000	858

prune550.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize53.0ms

Local error

Found 4 expressions with local error:

8.3b	(* (pow z 2) y)
20.6b	(cbrt (/ (* z y) t))
20.6b	(cbrt (/ (* z y) t))
20.6b	(cbrt (/ (* z y) t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac`
8×	`associate-l`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-div` `pow1/3` `associate-r` `prod-exp` `div-inv`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

34.0ms	(* (pow z 2) y)
7.0ms	(cbrt (/ (* z y) t))
7.0ms	(cbrt (/ (* z y) t))
7.0ms	(cbrt (/ (* z y) t))

series362.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (pow z 2) y)
96.0ms	(cbrt (/ (* z y) t))
109.0ms	(cbrt (/ (* z y) t))
134.0ms	(cbrt (/ (* z y) t))

simplify3.2s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	112	901
1	209	864
2	636	792
3	4064	768
done	5000	768

prune658.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

localize19.0ms

Local error

Found 4 expressions with local error:

3.4b	(fma 1.0 (/ z (/ t y)) (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
4.0b	(/ z (/ t y))
6.1b	(/ (* (pow z 2) y) t)
8.3b	(* (pow z 2) y)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma 1.0 (/ z (/ t y)) (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
9.0ms	(/ z (/ t y))
12.0ms	(/ (* (pow z 2) y) t)
30.0ms	(* (pow z 2) y)

series240.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma 1.0 (/ z (/ t y)) (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
38.0ms	(/ z (/ t y))
25.0ms	(/ (* (pow z 2) y) t)
32.0ms	(* (pow z 2) y)

simplify1.5s

Counts

148 → 148

Iterations

Useful iterations: 2 (448.0ms)

Iter	Nodes	Cost
0	235	1710
1	568	1606
2	2903	1447
done	5001	1447

prune859.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

regimes587.0ms

Accuracy

63% (6.7b remaining)

Error of 10.6b against oracle of 3.9b and baseline of 22.0b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	64
1	32	64
done	32	64

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.9s	1485×	body	10240	exit
1.4s	1504×	body	1280	valid
991.0ms	1619×	body	640	valid
717.0ms	890×	body	320	valid
422.0ms	3444×	body	80	valid
205.0ms	80×	body	2560	valid
170.0ms	2616×	body	80	nan
89.0ms	493×	body	160	valid
86.0ms	269×	body	640	nan
60.0ms	121×	body	1280	nan
44.0ms	192×	body	320	nan
16.0ms	109×	body	160	nan