Details

sample122.0ms

Algorithm

intervals

Results

68.0ms	884×	body	80	nan
26.0ms	293×	body	80	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	76	10
2	211	10
3	530	10
4	1065	10
5	2198	10
6	3794	10
7	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

28.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
29.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
8.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
78.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
190.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
152.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	860	1389
1	3774	1282
2	5001	1276

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b	(/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.5b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

189×	`add-sqr-sqrt`
150×	`times-frac`
103×	`*-un-lft-identity`
92×	`sqrt-prod`
75×	`add-cube-cbrt`
66×	`associate-r`
63×	`cbrt-prod`
58×	`add-exp-log`
43×	`add-cbrt-cube`
28×	`difference-of-squares`
24×	`prod-exp` `cbrt-unprod`
17×	`associate-l`
16×	`unswap-sqr`
15×	`cbrt-undiv` `div-exp`
14×	`distribute-lft-out--`
13×	`pow1`
9×	`associate-/r*`
7×	`associate-*l/`
6×	`frac-times` `associate-/l*`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 262

Calls

4 calls:

26.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
89.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
14.0ms	(/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))
60.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
267.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
108.0ms	(/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))
193.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1381	4127
1	5001	3825

prune901.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))))
0.3b	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
35×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`sqrt-prod`
17×	`prod-exp` `cbrt-unprod`
13×	`times-frac`
12×	`pow1` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp` `associate-/r*`
8×	`difference-of-squares`
7×	`associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `associate-/r/` `-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `clear-num` `div-inv` `associate-/l/` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

15.0ms	(sqrt (- a (/ 1.0 3.0)))
108.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))))
64.0ms	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
50.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

series684.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (- a (/ 1.0 3.0)))
199.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))))
297.0ms	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
148.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

simplify124.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	868	1980
1	4439	1700
2	5001	1691

prune440.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
0.3b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
0.3b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
46×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
21×	`add-sqr-sqrt`
19×	`pow1`
15×	`*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `times-frac`
9×	`associate-r` `pow-prod-down` `associate-/r*`
8×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-l` `*-commutative`
2×	`sqrt-div` `associate-/r/` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

62.0ms	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
50.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
49.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
51.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

series744.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(/ (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand) (sqrt (- a (/ 1.0 3.0))))
143.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
143.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)
145.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (cbrt 1.0)) rand)

simplify74.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	541	1580
1	2659	1212
2	5001	1072

prune466.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes123.0ms

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	17	10
1	17	10

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.0s	27439×	body	80	nan
831.0ms	9133×	body	80	valid