Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
7.8b	(/ x (* (- y z) (- y t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

15.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
17.0ms	(* (- y z) (- y t))
8.0ms	(/ x (* (- y z) (- y t)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
32.0ms	(* (- y z) (- y t))
61.0ms	(/ x (* (- y z) (- y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
1.4b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
43.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
179.0ms	(cbrt x)
188.0ms	(cbrt x)
89.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	533	1044
1	2673	853
2	5001	794

prune353.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))

series682.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt x)
161.0ms	(cbrt (- y z))
165.0ms	(cbrt (- y z))
159.0ms	(cbrt (- y z))

simplify180.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (174.0ms)

Iter	Nodes	Cost
0	175	360
1	378	342
2	1127	331
3	4607	319
4	5001	306

prune271.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
2.2b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
67×	`times-frac`
42×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
6.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
39.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
35.0ms	(/ 1 (- y z))
31.0ms	(/ x (- y t))
145.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	580	1034
1	2660	919
2	5002	887

prune375.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample442.0ms

Algorithm

intervals

Results

237.0ms

8445×

body

valid