Details

sample90.0ms

Algorithm

intervals

Results

31.0ms	53×	body	1280	valid
10.0ms	34×	body	640	valid
8.0ms	135×	body	80	valid
5.0ms	3×	body	2560	valid
4.0ms	88×	body	80	overflowed
4.0ms	21×	body	320	valid
3.0ms	15×	body	640	nan
3.0ms	87×	body	80	nan
1.0ms	13×	body	160	valid
1.0ms	7×	body	320	nan
1.0ms	3×	body	1280	nan
1.0ms	6×	body	160	nan

simplify252.0ms

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: 21.2b

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)
1.5b	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 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))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
8.0ms	(log (+ (- 1.0 y) (* y (exp z))))
12.0ms	(+ (- 1.0 y) (* y (exp z)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
343.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

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: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.1b	(/ (* z y) t)
6.0b	(/ (* (pow z 2) y) t)
7.0b	(* (pow z 2) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-*r/` `frac-add` `unswap-sqr`
3×	`associate-r` `sum-log` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 87

Calls

4 calls:

28.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0ms	(/ (* z y) t)
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series141.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(/ (* z y) t)
18.0ms	(/ (* (pow z 2) y) t)
17.0ms	(* (pow z 2) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	492	659
1	2299	586
2	5001	586

prune288.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
4.1b	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
5.1b	(/ (* z y) t)
7.0b	(* (pow z 2) y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`prod-exp`
10×	`div-exp`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`associate-l`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`pow1` `unpow-prod-down` `times-frac` `associate-r/` `frac-add` `associate-/r` `unswap-sqr`
3×	`pow-to-exp` `associate-r` `pow-exp` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 89

Calls

4 calls:

28.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
6.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
3.0ms	(/ (* z y) t)
6.0ms	(* (pow z 2) y)

series280.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
128.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
22.0ms	(/ (* z y) t)
18.0ms	(* (pow z 2) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	588	924
1	2793	808
2	5001	802

prune352.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
4.1b	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
5.2b	(* (* z y) (/ 1 t))
7.0b	(* (pow z 2) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
26×	`add-cbrt-cube`
25×	`prod-exp`
20×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*r/` `div-exp`
11×	`cbrt-unprod`
10×	`times-frac`
9×	`pow1` `associate-l` `add-log-exp`
8×	`frac-add`
6×	`cbrt-undiv`
4×	`unpow-prod-down` `un-div-inv` `unswap-sqr`
3×	`pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `flip-+`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 109

Calls

4 calls:

47.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
6.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
10.0ms	(* (* z y) (/ 1 t))
6.0ms	(* (pow z 2) y)

series284.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
134.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
19.0ms	(* (* z y) (/ 1 t))
18.0ms	(* (pow z 2) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	756	1204
1	3859	1045
2	5001	1017

prune357.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

regimes477.0ms

Accuracy

68.5% (5.2b remaining)

Error of 5.7b against oracle of 0.5b and baseline of 17.0b

bsearch178.0ms

Steps

Iters	Range		Point
10	7.800223637927871e-45	1.6335448673401457e-32	5.154733228884571e-35
8	-0.6196216933291611	-0.0001027795604175201	-0.00031198126899025023

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	41
1	59	41

end0.0ms

sample2.5s

Algorithm

intervals

Results

722.0ms	1357×	body	1280	valid
436.0ms	1456×	body	640	valid
242.0ms	3931×	body	80	valid
146.0ms	784×	body	320	valid
135.0ms	2487×	body	80	overflowed
129.0ms	100×	body	2560	valid
105.0ms	2696×	body	80	nan
59.0ms	277×	body	640	nan
46.0ms	399×	body	160	valid
35.0ms	114×	body	1280	nan
28.0ms	199×	body	320	nan
10.0ms	116×	body	160	nan