Details

sample189.0ms

Algorithm

intervals

Results

90.0ms	998×	body	80	nan
32.0ms	299×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`associate-+r+` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

72.0ms	(+ (+ (+ (* x (log y)) z) t) a)
303.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (+ (+ (* x (log y)) z) t) a)
234.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
58.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	590	908
1	2518	809
2	5002	794

prune471.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series541.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
99.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune664.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 230

Calls

4 calls:

28.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
29.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series752.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
178.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
173.0ms	(pow (/ 1 y) -1/3)

simplify105.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	1065	2124
1	3238	1870
2	5001	1827

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (pow (/ 1 y) -1/3))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
12×	`log-prod`
11×	`add-exp-log`
9×	`pow1` `cbrt-prod` `times-frac`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`pow1/3` `div-exp` `log-pow`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (* 2 (log (pow (/ 1 y) -1/3))) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series603.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(fma x (* 2 (log (pow (/ 1 y) -1/3))) (* x (log (cbrt y))))
88.0ms	(* x (log (cbrt y)))
173.0ms	(cbrt y)
168.0ms	(pow (/ 1 y) -1/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	343	547
1	1294	484
2	5002	448

prune476.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes482.0ms

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	40	17
1	40	17

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	27716×	body	80	nan
1.0s	9230×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid