Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	372×	body	80	valid
16.0ms	354×	body	80	nan

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (20.0ms)

Iter	Nodes	Cost
0	40	12
1	92	12
2	269	12
3	669	12
4	1565	11
5	2855	11
6	5001	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `prod-diff` `associate-/r` `associate-/l`
2×	`flip3--` `associate-*l/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
8.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
1.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series273.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
42.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
122.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	432	812
1	1472	709
2	5003	707

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467))
0.1b	(* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z)
0.1b	(fma (log x) (- x 0.5) (- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467)))
4.1b	(/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
75×	`add-cube-cbrt`
74×	`prod-diff`
64×	`times-frac`
16×	`distribute-lft-out--`
15×	`difference-of-squares`
13×	`fma-neg`
11×	`associate--r+`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`diff-log` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `frac-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `associate--r-` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

17.0ms	(- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467))
4.0ms	(* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z)
1.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467)))
6.0ms	(/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x)

series342.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467))
45.0ms	(* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z)
130.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x) (- x 0.91893853320467)))
81.0ms	(/ (+ (* (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z) 0.083333333333333) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	701	3102
1	2280	2533
2	5001	2216

prune478.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`associate-+l+` `add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `fma-neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (- x 0.5) (log x))
405.0ms	(- (* (- x 0.5) (log x)) x)
410.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
82.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	576	925
1	2275	825
2	5001	802

prune453.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(- (* 1 (* (- x 0.5) (log x))) x)
0.2b	(+ (- (* 1 (* (- x 0.5) (log x))) x) 0.91893853320467)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
30×	`log-prod`
27×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
24×	`associate--l+`
17×	`associate-+l+`
11×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `fma-neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
9.0ms	(- (* 1 (* (- x 0.5) (log x))) x)
13.0ms	(+ (- (* 1 (* (- x 0.5) (log x))) x) 0.91893853320467)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (- x 0.5) (log x))
421.0ms	(- (* 1 (* (- x 0.5) (log x))) x)
430.0ms	(+ (- (* 1 (* (- x 0.5) (log x))) x) 0.91893853320467)
93.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	661	1041
1	2557	916
2	5002	894

prune541.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

regimes302.0ms

Accuracy

0% (2.7b remaining)

Error of 5.8b against oracle of 3.1b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	13
1	34	13
2	34	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

615.0ms	11574×	body	80	valid
536.0ms	11592×	body	80	nan