Details

sample105.0ms

Algorithm

intervals

Results

23.0ms	43×	body	10240	exit
23.0ms	46×	body	1280	valid
13.0ms	45×	body	640	valid
7.0ms	4×	body	2560	valid
6.0ms	111×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	71×	body	80	nan
2.0ms	16×	body	160	valid
2.0ms	8×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify204.0ms

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: 25.5b

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)
1.8b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite119.0ms

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))
55.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
31.0ms	(+ (- 1.0 y) (* y (exp z)))
20.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp z))
137.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
30.0ms	(+ (- 1.0 y) (* y (exp z)))
69.0ms	(log (+ (- 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

prune292.0ms

Pruning

6 alts after pruning (6 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)
2.0b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.3b	(- (exp z) 1)

rewrite70.0ms

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:

39.0ms	(* (- (exp z) 1) y)
14.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
4.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
10.0ms	(- (exp z) 1)

series213.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- (exp z) 1) y)
109.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
57.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
14.0ms	(- (exp z) 1)

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune306.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.3b	(- (exp z) 1)
2.3b	(- (exp z) 1)
5.1b	(log (+ (* 1.0 1.0) (- (* (* (- (exp z) 1) y) (* (- (exp z) 1) y)) (* 1.0 (* (- (exp z) 1) y)))))
5.6b	(log (+ (pow 1.0 3) (pow (* (- (exp z) 1) y) 3)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`log-prod` `add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube` `difference-of-squares`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `difference-of-sqr-1` `rem-log-exp` `log-pow` `flip--` `flip-+` `distribute-lft-out--`
1×	`sum-cubes` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

10.0ms	(- (exp z) 1)
10.0ms	(- (exp z) 1)
167.0ms	(log (+ (* 1.0 1.0) (- (* (* (- (exp z) 1) y) (* (- (exp z) 1) y)) (* 1.0 (* (- (exp z) 1) y)))))
14.0ms	(log (+ (pow 1.0 3) (pow (* (- (exp z) 1) y) 3)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (exp z) 1)
11.0ms	(- (exp z) 1)
149.0ms	(log (+ (* 1.0 1.0) (- (* (* (- (exp z) 1) y) (* (- (exp z) 1) y)) (* 1.0 (* (- (exp z) 1) y)))))
185.0ms	(log (+ (pow 1.0 3) (pow (* (- (exp z) 1) y) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	424	947
1	1689	843
2	5001	827

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.3b

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))
4.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite101.0ms

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))
10.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
39.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series387.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
69.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
83.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
115.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

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

prune293.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

regimes422.0ms

Accuracy

19.2% (9.8b remaining)

Error of 14.3b against oracle of 4.4b and baseline of 16.6b

bsearch432.0ms

Steps

Iters	Range		Point
5	1.3150534313625464e+165	4.778487259292124e+165	1.4496099527457788e+165
5	1.2561442318685477e-124	4.994263392053747e-124	2.4458558412236276e-124
4	-8.611742618406851e+103	-6.052355462050376e+103	-6.569041928042183e+103
8	-4.649319667139915e+108	-9.889023942392452e+104	-1.2976710331106115e+105
8	-7.086144999452581e+131	-1.6129405534232063e+127	-2.4690319490621494e+131
7	-8.291485763244882e+210	-6.411556734451586e+208	-1.1528922602633486e+210

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	109	95
1	109	95

end0.0ms

sample3.4s

Algorithm

intervals

Results

750.0ms	1444×	body	1280	valid
698.0ms	1466×	body	10240	exit
655.0ms	1560×	body	640	valid
214.0ms	3496×	body	80	valid
162.0ms	958×	body	320	valid
94.0ms	78×	body	2560	valid
86.0ms	2501×	body	80	nan
52.0ms	495×	body	160	valid
48.0ms	255×	body	640	nan
27.0ms	101×	body	1280	nan
25.0ms	204×	body	320	nan
7.0ms	90×	body	160	nan