Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	297×	body	80	valid
7.0ms	249×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
32.0ms	(+ (- 1.0 z) (log z))
80.0ms	(* y (+ (- 1.0 z) (log z)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
165.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify255.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

44.0ms	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
5.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
5.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
5.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
606.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
599.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
594.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	412	1854
1	1657	1746
2	5001	1644

prune382.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.5b	(* (log z) (log z))
3.4b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
7.6b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
66×	`associate--l+`
64×	`distribute-rgt-in` `distribute-lft-in`
60×	`add-sqr-sqrt`
57×	`prod-diff`
52×	`add-cube-cbrt`
23×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod` `distribute-lft-out--`
10×	`log-pow`
9×	`sub-neg`
8×	`times-frac` `associate-r` `associate-/r*`
7×	`associate-l`
6×	`swap-sqr` `associate--r+` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 193

Calls

4 calls:

30.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
10.0ms	(* (log z) (log z))
90.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
109.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
143.0ms	(* (log z) (log z))
85.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
220.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	903	2517
1	4183	1909
2	5001	1898

prune509.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.2b	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
0.5b	(* (log z) (log z))
8.7b	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

299×	`*-un-lft-identity`
274×	`times-frac`
173×	`add-sqr-sqrt`
129×	`add-cube-cbrt`
126×	`distribute-lft-out--`
63×	`difference-of-squares`
59×	`pow1`
48×	`log-pow`
42×	`associate-/r*`
22×	`associate--l+`
19×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod`
11×	`associate-/r/` `associate-/l*`
7×	`flip3--` `flip--`
6×	`swap-sqr` `div-inv` `associate--r+` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `associate-l` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `pow-plus` `fma-neg` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 318

Calls

4 calls:

31.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
84.0ms	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
11.0ms	(* (log z) (log z))
113.0ms	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
215.0ms	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
152.0ms	(* (log z) (log z))
80.0ms	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

simplify80.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1228	5412
1	5001	5135

prune833.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.1b 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	15	6
1	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

324.0ms	9198×	body	80	valid
249.0ms	9213×	body	80	nan