Details

sample120.0ms

Algorithm

intervals

Results

35.0ms	71×	body	10240	exit
29.0ms	48×	body	1280	valid
13.0ms	47×	body	640	valid
7.0ms	112×	body	80	valid
6.0ms	36×	body	320	valid
3.0ms	83×	body	80	nan
3.0ms	2×	body	2560	valid
2.0ms	11×	body	640	nan
1.0ms	11×	body	160	valid
1.0ms	9×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	2×	body	160	nan

simplify210.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.1b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite31.0ms

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:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
159.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(+ (- 1.0 y) (* y (exp z)))
77.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune268.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 (exp z)) y)
0.0b	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
1.4b	(log (- 1.0 (* (- 1 (exp z)) y)))
2.2b	(- 1 (exp z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l` `add-log-exp`
5×	`log-pow`
4×	`log-div` `flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`div-sub` `associate-*l/` `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 → 85

Calls

4 calls:

10.0ms	(* (- 1 (exp z)) y)
5.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
4.0ms	(- 1 (exp z))

series232.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- 1 (exp z)) y)
123.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
55.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
14.0ms	(- 1 (exp z))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	450	786
1	1808	729
2	5001	725

prune287.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (log (- 1.0 (* (- 1 (exp z)) y))))
0.0b	(/ 1 (/ t (log (- 1.0 (* (- 1 (exp z)) y)))))
1.4b	(log (- 1.0 (* (- 1 (exp z)) y)))
2.2b	(- 1 (exp z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
66×	`add-sqr-sqrt` `*-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` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `difference-of-squares`
1×	`sub-neg` `pow-flip` `diff-log` `rem-log-exp` `associate-/r/` `distribute-lft-out--` `inv-pow`

Counts

4 → 148

Calls

4 calls:

3.0ms	(/ t (log (- 1.0 (* (- 1 (exp z)) y))))
6.0ms	(/ 1 (/ t (log (- 1.0 (* (- 1 (exp z)) y)))))
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
4.0ms	(- 1 (exp z))

series316.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ t (log (- 1.0 (* (- 1 (exp z)) y))))
74.0ms	(/ 1 (/ t (log (- 1.0 (* (- 1 (exp z)) y)))))
61.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))

simplify85.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	723	1865
1	3614	1619
2	5001	1614

prune373.0ms

Filtered

160 candidates to 88 candidates (55.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (- 1.0 (* (- 1 (exp z)) y)))
2.2b	(- 1 (exp z))
2.2b	(- 1 (exp z))
2.2b	(- 1 (exp z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

3.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
4.0ms	(- 1 (exp z))
4.0ms	(- 1 (exp z))
4.0ms	(- 1 (exp z))

series98.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
12.0ms	(- 1 (exp z))
13.0ms	(- 1 (exp z))
13.0ms	(- 1 (exp z))

simplify144.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	259	412
1	1018	376
2	4986	370
3	5001	370

prune264.0ms

Filtered

71 candidates to 50 candidates (70.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.2b

regimes282.0ms

Accuracy

52.2% (4.9b remaining)

Error of 9.3b against oracle of 4.4b and baseline of 14.6b

bsearch238.0ms

Steps

Iters	Range	Point
7	5.732309696146897e-159	9.620747054988608e-157	5.3326686058956315e-158
9	-8.69679932913693e-161	-3.0006913047503185e-170	-1.296802217268301e-163
8	-2.2806788242940884e+27	-3.770551006208064e+24	-3.814388046394695e+24

Iters

Range

Point

5.732309696146897e-159

9.620747054988608e-157

5.3326686058956315e-158

-8.69679932913693e-161

-3.0006913047503185e-170

-1.296802217268301e-163

-2.2806788242940884e+27

-3.770551006208064e+24

-3.814388046394695e+24

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	41
1	78	41
2	91	41
3	91	41

end0.0ms

sample3.1s

Algorithm

intervals

Results

752.0ms	1528×	body	10240	exit
729.0ms	1390×	body	1280	valid
466.0ms	1626×	body	640	valid
205.0ms	3493×	body	80	valid
168.0ms	929×	body	320	valid
105.0ms	84×	body	2560	valid
91.0ms	2537×	body	80	nan
58.0ms	282×	body	640	nan
56.0ms	509×	body	160	valid
28.0ms	97×	body	1280	nan
25.0ms	190×	body	320	nan
10.0ms	119×	body	160	nan