Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	33	10
1	79	10
2	210	10
3	483	10
4	910	10
5	1516	10
6	2818	10
7	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

10.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
41.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
84.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series871.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ t y) a)
57.0ms	(+ (* (+ x y) z) (* (+ t y) a))
113.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
678.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	564	1186
1	2509	1087
2	5002	1077

prune469.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `frac-add` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `fma-def` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 133

Calls

4 calls:

18.0ms	(/ 1 (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
135.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series873.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ 1 (+ (+ x t) y))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
114.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
644.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	606	1370
1	2954	1192
2	5001	1143

prune460.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize22.0ms

Local error

Found 4 expressions with local error:

26.1b	(* (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ 1 (+ (+ x t) y)))
26.7b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.7b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.7b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite737.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
82×	`frac-times`
57×	`flip3--` `flip--`
54×	`associate-*l/`
43×	`add-exp-log`
31×	`*-un-lft-identity`
24×	`prod-exp`
21×	`associate-r`
17×	`associate-*r/` `add-cbrt-cube`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
13×	`pow1`
12×	`cbrt-unprod`
9×	`cbrt-prod` `distribute-lft-out`
6×	`div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow1/3` `1-exp`
2×	`associate-/r/`
1×	`flip3-+` `associate-l` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

4 → 152

Calls

4 calls:

674.0ms	(* (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ 1 (+ (+ x t) y)))
16.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
16.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
21.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.7s

Counts

4 → 12

Calls

4 calls:

656.0ms	(* (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ 1 (+ (+ x t) y)))
344.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
338.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
343.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify121.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	871	5467
1	3394	4418
2	5001	4162

prune596.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.9b

localize21.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-out`
15×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*` `add-log-exp`
6×	`associate-/r/` `associate-/l/`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `fma-neg` `div-sub` `div-exp` `prod-diff` `clear-num` `flip-+` `div-inv`
2×	`diff-log`
1×	`sub-neg` `associate--l+` `sum-log`

Counts

4 → 148

Calls

4 calls:

42.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
82.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
82.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
84.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series2.3s

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
720.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
725.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
730.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	298	2254
1	1247	2059
2	5001	2034

prune676.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 8.9b

regimes716.0ms

Accuracy

50.6% (9.4b remaining)

Error of 17.4b against oracle of 8.1b and baseline of 27.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	30
1	30	30

end0.0ms

sample655.0ms

Algorithm

intervals

Results

376.0ms	7994×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid