Details

sample102.0ms

Algorithm

intervals

Results

26.0ms	50×	body	10240	exit
19.0ms	38×	body	1280	valid
14.0ms	48×	body	640	valid
7.0ms	39×	body	320	valid
7.0ms	117×	body	80	valid
2.0ms	66×	body	80	nan
2.0ms	16×	body	160	valid
1.0ms	11×	body	320	nan
1.0ms	7×	body	640	nan
1.0ms	3×	body	1280	nan
0.0ms	4×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize10.0ms

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	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite115.0ms

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:

11.0ms	(* y (exp z))
52.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
19.0ms	(log (+ (- 1.0 y) (* y (exp z))))
31.0ms	(+ (- 1.0 y) (* y (exp z)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* y (exp z))
144.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
67.0ms	(log (+ (- 1.0 y) (* y (exp z))))
32.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

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

prune254.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.4b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite94.0ms

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:

22.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
9.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
25.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
35.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series385.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
82.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
111.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

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

prune272.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0b	(/ (* z y) t)

rewrite67.0ms

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:

56.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
9.0ms	(/ (* z y) t)

series92.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify101.0ms

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

prune149.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
4.1b	(* (* z y) (/ 1 t))

rewrite167.0ms

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:

142.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
23.0ms	(* (* z y) (/ 1 t))

series109.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
17.0ms	(* (* z y) (/ 1 t))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

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

prune121.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

regimes463.0ms

Accuracy

62.9% (5.0b remaining)

Error of 8.7b against oracle of 3.7b and baseline of 17.2b

bsearch71.0ms

Steps

Iters	Range		Point
9	-22654091.28090883	-13.771506268536468	-13.932669165254756

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample3.2s

Algorithm

intervals

Results

732.0ms	1511×	body	10240	exit
725.0ms	1404×	body	1280	valid
475.0ms	1634×	body	640	valid
219.0ms	3559×	body	80	valid
161.0ms	901×	body	320	valid
104.0ms	82×	body	2560	valid
94.0ms	2487×	body	80	nan
52.0ms	267×	body	640	nan
50.0ms	443×	body	160	valid
40.0ms	131×	body	1280	nan
23.0ms	179×	body	320	nan
9.0ms	113×	body	160	nan