Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

353×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (13.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.2b	(* (* a z) b)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
42.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(* (* a z) b)

series185.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* t a))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify78.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune262.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* a z) b)
13.6b	(cbrt (* (* a z) b))
13.6b	(cbrt (* (* a z) b))
13.6b	(cbrt (* (* a z) b))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

11.0ms	(* (* a z) b)
9.0ms	(cbrt (* (* a z) b))
9.0ms	(cbrt (* (* a z) b))
8.0ms	(cbrt (* (* a z) b))

series360.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* a z) b)
87.0ms	(cbrt (* (* a z) b))
121.0ms	(cbrt (* (* a z) b))
128.0ms	(cbrt (* (* a z) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	185	316
1	726	268
2	3235	259
3	5001	240

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.2b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

0.0ms	(cbrt b)
0.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
16.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt b)
168.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
103.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	264	571
1	1326	416
2	5002	367

prune251.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.2b	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
3.3b	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

rewrite662.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1` `add-exp-log`
57×	`pow-prod-down` `prod-exp` `cbrt-unprod`
41×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 106

Calls

4 calls:

0.0ms	(cbrt b)
1.0ms	(cbrt b)
520.0ms	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
136.0ms	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt b)
176.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
102.0ms	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	385	1502
1	1952	948
2	5002	631

prune297.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

85.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.1b

bsearch97.0ms

Steps

Iters	Range		Point
9	4.2451719824005375e-92	1.151097358185855e-84	5.737591237834641e-90
7	-4.467281414413093e+46	-1.0510438101233912e+45	-4.3205401320263836e+46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms

sample832.0ms

Algorithm

intervals

Results

439.0ms

11911×

body

valid