Details

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

(+ x (/ 1.0 3.0))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(+ x (/ 1.0 3.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	82	61
1	218	55
2	532	55
3	1514	55
4	5001	55

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.3b	(expm1 (log1p (+ x (/ 1.0 3.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `sum-log` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

3 → 39

Calls

3 calls:

0.0ms	(log1p (+ x (/ 1.0 3.0)))
14.0ms	(+ x (/ 1.0 3.0))
0.0ms	(expm1 (log1p (+ x (/ 1.0 3.0))))

series234.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(log1p (+ x (/ 1.0 3.0)))
16.0ms	(+ x (/ 1.0 3.0))
168.0ms	(expm1 (log1p (+ x (/ 1.0 3.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	260	226
1	783	208
2	2838	182
3	5002	173

prune90.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.1b	(cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3))
1.0b	(pow (log1p (+ x (/ 1.0 3.0))) 3)
1.3b	(expm1 (cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u`
4×	`expm1-log1p-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `expm1-log1p` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `expm1-udef` `rem-cube-cbrt`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ x (/ 1.0 3.0))
1.0ms	(cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3))
1.0ms	(pow (log1p (+ x (/ 1.0 3.0))) 3)
0.0ms	(expm1 (cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ 1.0 3.0))
52.0ms	(cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3))
103.0ms	(pow (log1p (+ x (/ 1.0 3.0))) 3)
175.0ms	(expm1 (cbrt (pow (log1p (+ x (/ 1.0 3.0))) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	547	621
1	2127	538
2	5001	524

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0)))))
0.6b	(cbrt (log1p (+ x (/ 1.0 3.0))))
0.7b	(* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))
1.3b	(expm1 (* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`log1p-expm1-u` `unswap-sqr`
4×	`expm1-log1p-u` `add-log-exp`
3×	`pow1/3` `swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `expm1-log1p` `pow-plus` `pow3` `pow-sqr` `pow-prod-up` `expm1-udef`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0)))))
0.0ms	(cbrt (log1p (+ x (/ 1.0 3.0))))
3.0ms	(* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))
0.0ms	(expm1 (* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0)))))
156.0ms	(cbrt (log1p (+ x (/ 1.0 3.0))))
72.0ms	(* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))
184.0ms	(expm1 (* (cbrt (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	583	1186
1	2079	1057
2	5002	999

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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	6	2
1	6	2

end0.0ms

sample325.0ms

Algorithm

intervals

Results

234.0ms

8000×

body

valid