Details

sample124.0ms

Algorithm

intervals

Results

33.0ms	48×	body	1280	valid
26.0ms	53×	body	640	valid
13.0ms	104×	body	80	valid
10.0ms	33×	body	320	valid
7.0ms	87×	body	80	nan
4.0ms	17×	body	160	valid
3.0ms	37×	body	80	overflowed
3.0ms	2×	body	2560	valid
3.0ms	9×	body	640	nan
2.0ms	5×	body	1280	nan
2.0ms	10×	body	320	nan
0.0ms	3×	body	160	nan

simplify202.0ms

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: 23.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.0b	(* y (exp z))
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite52.0ms

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	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(* y (exp z))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
20.0ms	(* y (exp z))
71.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

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

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.9b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
10.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
13.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series395.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
130.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
87.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
113.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5001	876

prune275.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.2b	(/ (* z y) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

28.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.0ms	(/ (* z y) t)

series113.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune118.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
5.2b	(* (* z y) (/ 1 t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `times-frac`
7×	`pow1` `add-log-exp`
6×	`cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `diff-log` `1-exp`
1×	`sub-neg` `flip3--` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

72.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
10.0ms	(* (* z y) (/ 1 t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
18.0ms	(* (* z y) (/ 1 t))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	404
1	1639	338
2	5002	325

prune130.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.7b

regimes359.0ms

Accuracy

57.8% (5.4b remaining)

Error of 9.2b against oracle of 3.7b and baseline of 16.6b

bsearch171.0ms

Steps

Iters	Range		Point
8	4.678749619917463e-48	1.645067565017646e-43	6.748574877542292e-44
8	-2.5142613029505935e+48	-5.967295665291911e+45	-6.064026063174626e+45

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	31
1	51	31

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	1468×	body	1280	valid
681.0ms	1542×	body	640	valid
442.0ms	3568×	body	80	valid
282.0ms	906×	body	320	valid
199.0ms	2416×	body	80	nan
142.0ms	1529×	body	80	overflowed
122.0ms	85×	body	2560	valid
96.0ms	467×	body	160	valid
85.0ms	259×	body	640	nan
53.0ms	114×	body	1280	nan
50.0ms	210×	body	320	nan
17.0ms	110×	body	160	nan