Details

sample215.0ms

Algorithm

intervals

Results

50.0ms	64×	body	640	valid
45.0ms	49×	body	10240	exit
35.0ms	42×	body	1280	valid
12.0ms	111×	body	80	valid
8.0ms	25×	body	320	valid
8.0ms	103×	body	80	nan
5.0ms	3×	body	2560	valid
5.0ms	13×	body	640	nan
3.0ms	15×	body	160	valid
3.0ms	10×	body	320	nan
2.0ms	4×	body	1280	nan
0.0ms	2×	body	160	nan

simplify597.0ms

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	66	13
5	78	13
6	100	13
7	126	13
8	150	13
9	203	13
10	284	13
11	290	13
done	290	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(+ (- 1.0 y) (* y (exp z)))
2.6b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite223.0ms

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:

24.0ms	(* y (exp z))
95.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
58.0ms	(+ (- 1.0 y) (* y (exp z)))
41.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* y (exp z))
251.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
45.0ms	(+ (- 1.0 y) (* y (exp z)))
141.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify2.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1238	1271
3	3810	1268
done	5000	1268

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (+ 1.0 (- (* (exp z) y) y))) t)
0.0b	(* (exp z) y)
2.4b	(log (+ 1.0 (- (* (exp z) y) y)))
3.9b	(- (* (exp z) y) y)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
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--` `distribute-rgt-out--` `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 → 79

Calls

4 calls:

66.0ms	(/ (log (+ 1.0 (- (* (exp z) y) y))) t)
24.0ms	(* (exp z) y)
25.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
23.0ms	(- (* (exp z) y) y)

series397.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(/ (log (+ 1.0 (- (* (exp z) y) y))) t)
35.0ms	(* (exp z) y)
101.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
78.0ms	(- (* (exp z) y) y)

simplify2.7s

Counts

91 → 91

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	200	1358
1	438	1296
2	1158	1199
3	3031	1185
done	5000	1184

prune469.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp z) y)
0.0b	(/ 1 (/ t (log (+ 1.0 (- (* (exp z) y) y)))))
2.4b	(log (+ 1.0 (- (* (exp z) y) y)))
3.9b	(- (* (exp z) y) y)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
59×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
20×	`pow1`
17×	`add-exp-log`
16×	`associate-/r*`
13×	`log-pow`
11×	`add-cbrt-cube`
7×	`div-exp`
6×	`add-log-exp`
5×	`div-inv`
4×	`log-prod`
3×	`cbrt-undiv` `associate-r` `associate-l` `associate-/l*`
2×	`log-div` `rec-exp` `1-exp`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

31.0ms	(* (exp z) y)
23.0ms	(/ 1 (/ t (log (+ 1.0 (- (* (exp z) y) y)))))
43.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
13.0ms	(- (* (exp z) y) y)

series309.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (exp z) y)
126.0ms	(/ 1 (/ t (log (+ 1.0 (- (* (exp z) y) y)))))
89.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
44.0ms	(- (* (exp z) y) y)

simplify2.9s

Counts

146 → 146

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	278	2733
1	617	2431
2	1472	2189
3	3765	2160
done	5001	2159

prune472.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.4b	(log (+ 1.0 (- (* (exp z) y) y)))
3.9b	(- (* (exp z) y) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
32.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
18.0ms	(- (* (exp z) y) y)

series849.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt t)
499.0ms	(cbrt t)
67.0ms	(log (+ 1.0 (- (* (exp z) y) y)))
44.0ms	(- (* (exp z) y) y)

simplify1.7s

Counts

62 → 62

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	129	634
1	299	598
2	776	543
3	2179	528
done	5001	522

prune285.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.9b

regimes510.0ms

Accuracy

59.9% (4.4b remaining)

Error of 8.6b against oracle of 4.2b and baseline of 15.0b

bsearch135.0ms

Steps

Iters	Range		Point
9	-595411.4635753314	-0.3063967055351801	-0.3115017031960372

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	39
1	38	39
done	38	39

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.3s	1449×	body	10240	exit
1.1s	1615×	body	640	valid
1.1s	1488×	body	1280	valid
584.0ms	873×	body	320	valid
368.0ms	3540×	body	80	valid
245.0ms	2496×	body	80	nan
122.0ms	73×	body	2560	valid
104.0ms	257×	body	640	nan
71.0ms	448×	body	160	valid
47.0ms	110×	body	1280	nan
44.0ms	191×	body	320	nan
13.0ms	103×	body	160	nan