Details

sample158.0ms

Algorithm

intervals

Results

31.0ms	49×	body	10240	exit
25.0ms	64×	body	640	valid
25.0ms	42×	body	1280	valid
21.0ms	4×	body	1280	nan
9.0ms	111×	body	80	valid
5.0ms	25×	body	320	valid
5.0ms	103×	body	80	nan
4.0ms	3×	body	2560	valid
3.0ms	13×	body	640	nan
2.0ms	15×	body	160	valid
2.0ms	10×	body	320	nan
0.0ms	2×	body	160	nan

simplify4.6s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize13.0ms

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))))

rewrite142.0ms

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:

18.0ms	(* y (exp z))
63.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
39.0ms	(+ (- 1.0 y) (* y (exp z)))
19.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
186.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
39.0ms	(+ (- 1.0 y) (* y (exp z)))
84.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify680.0ms

Counts: 92 → 92

prune332.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0b	(- (exp z) 1)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`flip3--` `flip3-+` `difference-of-sqr-1` `div-sub` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `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 → 87

Calls

4 calls:

53.0ms	(* (- (exp z) 1) y)
20.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
6.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
21.0ms	(- (exp z) 1)

series333.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (exp z) 1) y)
178.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
83.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
20.0ms	(- (exp z) 1)

simplify655.0ms

Counts: 99 → 99

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ t (log (+ 1.0 (* (- (exp z) 1) y)))))
0.0b	(/ t (log (+ 1.0 (* (- (exp z) 1) y))))
2.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0b	(- (exp z) 1)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
67×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
63×	`add-cube-cbrt`
22×	`pow1`
20×	`associate-/r*`
18×	`add-exp-log`
17×	`log-pow`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`log-prod`
2×	`log-div` `rec-exp` `frac-2neg` `1-exp` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `difference-of-sqr-1` `rem-log-exp` `associate-/r/` `flip--` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 149

Calls

4 calls:

10.0ms	(/ 1 (/ t (log (+ 1.0 (* (- (exp z) 1) y)))))
5.0ms	(/ t (log (+ 1.0 (* (- (exp z) 1) y))))
4.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
10.0ms	(- (exp z) 1)

series698.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ 1 (/ t (log (+ 1.0 (* (- (exp z) 1) y)))))
212.0ms	(/ t (log (+ 1.0 (* (- (exp z) 1) y))))
362.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
15.0ms	(- (exp z) 1)

simplify1.1s

Counts: 161 → 161

prune497.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.4b	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0b	(- (exp z) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
10.0ms	(- (exp z) 1)

series601.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt t)
245.0ms	(cbrt t)
63.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
15.0ms	(- (exp z) 1)

simplify480.0ms

Counts: 64 → 64

prune294.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

regimes473.0ms

Accuracy

59.5% (4.4b remaining)

Error of 8.6b against oracle of 4.2b and baseline of 15.1b

bsearch115.0ms

Steps

Iters	Range		Point
9	-595411.4635753314	-0.3063967055351801	-0.3115017031960372

simplify988.0ms

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.2s	1449×	body	10240	exit
1.3s	1488×	body	1280	valid
894.0ms	1615×	body	640	valid
409.0ms	3540×	body	80	valid
304.0ms	873×	body	320	valid
199.0ms	2496×	body	80	nan
127.0ms	73×	body	2560	valid
116.0ms	448×	body	160	valid
93.0ms	191×	body	320	nan
90.0ms	257×	body	640	nan
81.0ms	103×	body	160	nan
55.0ms	110×	body	1280	nan