Details

sample94.0ms

Algorithm

intervals

Results

24.0ms	49×	body	10240	exit
17.0ms	33×	body	1280	valid
12.0ms	41×	body	640	valid
8.0ms	129×	body	80	valid
6.0ms	30×	body	320	valid
2.0ms	68×	body	80	nan
2.0ms	22×	body	160	valid
2.0ms	2×	body	2560	valid
2.0ms	11×	body	640	nan
1.0ms	5×	body	320	nan
0.0ms	4×	body	160	nan

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
3.2b	(log (+ (- 1.0 y) (* y (exp z))))
3.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
162.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
78.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (45.0ms)

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

prune289.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (log (+ (- 1.0 y) (* y (exp z)))))
0.0b	(/ 1 (/ t (log (+ (- 1.0 y) (* y (exp z))))))
3.2b	(log (+ (- 1.0 y) (* y (exp z))))
3.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
63×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
20×	`associate-/r*`
18×	`add-exp-log`
17×	`log-pow`
11×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`log-prod`
2×	`log-div` `rec-exp` `associate-+l+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `pow-flip` `diff-log` `rem-log-exp` `associate-/r/` `inv-pow`

Counts

4 → 148

Calls

4 calls:

3.0ms	(/ t (log (+ (- 1.0 y) (* y (exp z)))))
7.0ms	(/ 1 (/ t (log (+ (- 1.0 y) (* y (exp z))))))
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(/ t (log (+ (- 1.0 y) (* y (exp z)))))
80.0ms	(/ 1 (/ t (log (+ (- 1.0 y) (* y (exp z))))))
81.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	694	1897
1	3148	1728
2	5001	1640

prune393.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.2b

localize14.0ms

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	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

rewrite30.0ms

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:

8.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
8.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
72.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
123.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5002	876

prune320.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.3b	(/ (* z y) t)

rewrite16.0ms

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:

10.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series108.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
20.0ms	(/ (* z y) t)

simplify81.0ms

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

prune104.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.5b

regimes655.0ms

Accuracy

63.8% (4.7b remaining)

Error of 8.3b against oracle of 3.6b and baseline of 16.6b

bsearch135.0ms

Steps

Iters	Range		Point
7	3.6655384296299976e-81	3.6842556330088986e-79	5.0328493301119e-80
7	-0.041603525395973645	-0.00123344211380614	-0.0015621185568995256

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	35
1	50	35

end0.0ms

sample3.1s

Algorithm

intervals

Results

756.0ms	1413×	body	1280	valid
753.0ms	1491×	body	10240	exit
476.0ms	1590×	body	640	valid
224.0ms	3573×	body	80	valid
163.0ms	892×	body	320	valid
96.0ms	2479×	body	80	nan
75.0ms	60×	body	2560	valid
56.0ms	496×	body	160	valid
54.0ms	275×	body	640	nan
32.0ms	107×	body	1280	nan
26.0ms	190×	body	320	nan
10.0ms	113×	body	160	nan