Details

sample72.0ms

Algorithm

intervals

Results

29.0ms	877×	body	80	nan
10.0ms	289×	body	80	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	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)
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite142.0ms

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×	`frac-times` `associate-/r*` `associate-/r/` `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 → 114

Calls

4 calls:

46.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
62.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
66.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
166.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
132.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	823	1338
1	3607	1238
2	5002	1238

prune334.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

35.0ms	(* 9.0 (- a (/ 1.0 3.0)))
85.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
11.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
22.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 9.0 (- a (/ 1.0 3.0)))
108.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
86.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
171.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	744	1044
1	3484	958
2	5001	958

prune287.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
175×	`sqrt-prod`
162×	`times-frac`
125×	`*-un-lft-identity`
106×	`associate-l`
97×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-l/` `associate-/l` `unswap-sqr`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`sqrt-div` `associate-/r/` `add-log-exp`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 263

Calls

4 calls:

46.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
62.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
24.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
84.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series853.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
193.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
99.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
320.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify54.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1189	3377
1	5001	3126

prune794.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

163×	`add-sqr-sqrt`
145×	`sqrt-prod`
132×	`times-frac`
104×	`*-un-lft-identity`
76×	`add-cube-cbrt`
66×	`associate-l`
28×	`difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`distribute-lft-out--`
8×	`pow1`
7×	`associate-r` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `unswap-sqr`
5×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `sqrt-div` `associate-*l/` `associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`
1×	`distribute-rgt-in` `sqrt-undiv` `distribute-lft-in` `associate-/l/` `distribute-lft-out`

Counts

4 → 228

Calls

4 calls:

46.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
62.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
30.0ms	(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
22.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

series762.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
190.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
246.0ms	(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
95.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1074	2878
1	5001	2670

prune703.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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

sample2.0s

Algorithm

intervals

Results

871.0ms	27207×	body	80	nan
323.0ms	9109×	body	80	valid