Details

sample307.0ms

Algorithm

intervals

Results

29.0ms	757×	body	80	nan
9.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

16.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify73.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	181	216
1	610	206
2	2471	201
3	5002	201

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (+ 0.5 (* 0.125 (/ 1 x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 16

Calls

1 calls:

5.0ms

(- x (+ 0.5 (* 0.125 (/ 1 x))))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(- x (+ 0.5 (* 0.125 (/ 1 x))))

simplify34.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	96	126
1	283	117
2	1070	115
3	5001	110

prune34.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt x)) (sqrt (- x 1.0))) (sqrt (cbrt x)))
0.4b	(* (fabs (cbrt x)) (sqrt (- x 1.0)))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`associate-r`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod`
4×	`sqrt-div` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-l/` `-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

20.0ms	(* (* (fabs (cbrt x)) (sqrt (- x 1.0))) (sqrt (cbrt x)))
11.0ms	(* (fabs (cbrt x)) (sqrt (- x 1.0)))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series528.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* (fabs (cbrt x)) (sqrt (- x 1.0))) (sqrt (cbrt x)))
53.0ms	(* (fabs (cbrt x)) (sqrt (- x 1.0)))
186.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	496	680
1	2068	611
2	5002	599

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample1.5s

Algorithm

intervals

Results

896.0ms	24182×	body	80	nan
270.0ms	7989×	body	80	valid
1.0ms	11×	body	160	valid