Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	333×	body	80	valid
0.0ms	2×	body	640	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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 → 25

Calls

1 calls:

101.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify29.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	159	148
1	838	127
2	5002	127

prune48.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

9.0ms	(* (+ d3 5.0) d1)
11.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))
3.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))

series104.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ d3 5.0) d1)
36.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))
41.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))

simplify39.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	271	315
1	1079	281
2	5001	270

prune115.0ms

Filtered

54 candidates to 38 candidates (70.4%)

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))
3.7b	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
6.7b	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
19.1b	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite149.0ms

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:

75.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
12.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
55.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series223.0ms

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)))
81.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
93.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	558	1314
1	3071	1145
2	5001	1126

prune242.0ms

Filtered

132 candidates to 79 candidates (59.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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

sample475.0ms

Algorithm

intervals

Results

272.0ms	10076×	body	80	valid
2.0ms	17×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	6×	body	160	valid