Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	325×	body	80	valid
0.0ms	1×	body	320	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
9×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ (+ d3 5.0) 32.0)
9.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series45.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (+ d3 5.0) 32.0)
29.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	205
1	1048	184
2	5001	184

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(* d1 (+ d2 (cbrt (pow (+ (+ d3 5.0) 32.0) 3))))
0.1b	(pow (+ (+ d3 5.0) 32.0) 3)
14.8b	(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
16×	`cbrt-prod` `distribute-lft-out`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
9×	`add-log-exp`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l` `sum-log`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+l+` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

9.0ms	(+ (+ d3 5.0) 32.0)
12.0ms	(* d1 (+ d2 (cbrt (pow (+ (+ d3 5.0) 32.0) 3))))
7.0ms	(pow (+ (+ d3 5.0) 32.0) 3)
7.0ms	(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

series93.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ d3 5.0) 32.0)
29.0ms	(* d1 (+ d2 (cbrt (pow (+ (+ d3 5.0) 32.0) 3))))
26.0ms	(pow (+ (+ d3 5.0) 32.0) 3)
17.0ms	(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	350	536
1	1796	481
2	5002	475

prune182.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
0.9b	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
8.3b	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
15.2b	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`distribute-lft-out`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

14.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
4.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
9.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
13.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
33.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
82.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
94.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	558	1314
1	3071	1145
2	5001	1141

prune223.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample510.0ms

Algorithm

intervals

Results

296.0ms	10109×	body	80	valid
3.0ms	24×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	8×	body	160	valid