Details

sample108.0ms

Algorithm

intervals

Results

26.0ms	49×	body	1280	valid
25.0ms	52×	body	10240	exit
14.0ms	51×	body	640	valid
6.0ms	108×	body	80	valid
6.0ms	34×	body	320	valid
4.0ms	3×	body	2560	valid
3.0ms	86×	body	80	nan
2.0ms	5×	body	1280	nan
1.0ms	7×	body	640	nan
1.0ms	11×	body	160	valid
1.0ms	5×	body	320	nan
0.0ms	4×	body	160	nan

simplify205.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize14.0ms

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)))
3.0b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite51.0ms

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))
22.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
164.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
36.0ms	(+ (- 1.0 y) (* y (exp z)))
76.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

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

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.5b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (exp z) 1)

rewrite30.0ms

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:

15.0ms	(* (- (exp z) 1) y)
6.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series231.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (exp z) 1) y)
115.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
58.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
13.0ms	(- (exp z) 1)

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	446	792
1	1780	735
2	5001	726

prune287.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.1b	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
2.5b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (exp z) 1)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-exp-log` `associate-r`
15×	`add-cube-cbrt`
11×	`times-frac` `associate-l` `add-cbrt-cube`
10×	`pow1`
6×	`add-log-exp`
5×	`prod-exp`
4×	`difference-of-squares` `unswap-sqr`
3×	`log-prod` `cbrt-unprod`
2×	`log-div` `flip3--` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3-+` `diff-log` `1-exp` `associate-*r/` `rem-log-exp` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

16.0ms	(* (- (exp z) 1) y)
13.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series230.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- (exp z) 1) y)
117.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
61.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
14.0ms	(- (exp z) 1)

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	531	785
1	2362	688
2	5001	688

prune283.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.3b

localize17.0ms

Local error

Found 4 expressions with local error:

1.6b	(log (- (* 1.0 1.0) (* (* (- (exp z) 1) y) (* (- (exp z) 1) y))))
2.7b	(- (exp z) 1)
2.7b	(- (exp z) 1)
2.7b	(- (exp z) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

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

series223.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(log (- (* 1.0 1.0) (* (* (- (exp z) 1) y) (* (- (exp z) 1) y))))
13.0ms	(- (exp z) 1)
18.0ms	(- (exp z) 1)
14.0ms	(- (exp z) 1)

simplify163.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	251	554
1	896	496
2	4964	490
3	5001	490

prune246.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.3b

regimes338.0ms

Accuracy

56.5% (4.5b remaining)

Error of 9.0b against oracle of 4.5b and baseline of 14.8b

bsearch156.0ms

Steps

Iters	Range		Point
10	-1.941605565962733e-147	-2.2852977508774913e-159	-3.608568691996224e-154
5	-48697182374164.98	-13392682218040.88	-13648522833977.074

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	30
1	62	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

757.0ms	1556×	body	10240	exit
728.0ms	1406×	body	1280	valid
467.0ms	1617×	body	640	valid
210.0ms	3542×	body	80	valid
175.0ms	938×	body	320	valid
99.0ms	82×	body	2560	valid
89.0ms	2456×	body	80	nan
51.0ms	456×	body	160	valid
49.0ms	254×	body	640	nan
34.0ms	117×	body	1280	nan
29.0ms	225×	body	320	nan
11.0ms	101×	body	160	nan