Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	323×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	1280	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 3.0 d2) d3)
0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`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 → 39

Calls

2 calls:

13.0ms	(+ (+ 3.0 d2) d3)
39.0ms	(* d1 (+ (+ 3.0 d2) d3))

series40.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ 3.0 d2) d3)
28.0ms	(* d1 (+ (+ 3.0 d2) d3))

simplify92.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	180	185
1	842	163
2	4491	162
3	5002	162

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3.0 (+ d2 d3)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

27.0ms

(* d1 (+ 3.0 (+ d2 d3)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* d1 (+ 3.0 (+ d2 d3)))

simplify94.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	147	117
1	741	103
2	4508	103
3	5002	103

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ d2 d3))
0.0b	(+ (* d1 3.0) (* d1 (+ d2 d3)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* d1 (+ d2 d3))
3.0ms	(+ (* d1 3.0) (* d1 (+ d2 d3)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* d1 (+ d2 d3))
36.0ms	(+ (* d1 3.0) (* d1 (+ d2 d3)))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	214	179
1	1012	161
2	5001	158

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

206.0ms	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
9.0ms	(cbrt (+ 3.0 (+ d2 d3)))
6.0ms	(cbrt (+ 3.0 (+ d2 d3)))
6.0ms	(cbrt (+ 3.0 (+ d2 d3)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
94.0ms	(cbrt (+ 3.0 (+ d2 d3)))
96.0ms	(cbrt (+ 3.0 (+ d2 d3)))
97.0ms	(cbrt (+ 3.0 (+ d2 d3)))

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	488	1526
1	1682	1364
2	5002	1312

prune233.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample502.0ms

Algorithm

intervals

Results

255.0ms	9618×	body	80	valid
19.0ms	203×	body	640	valid
10.0ms	144×	body	320	valid
9.0ms	79×	body	1280	valid
5.0ms	100×	body	160	valid