Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	136×	body	320	valid
9.0ms	487×	pre	80	true
7.0ms	231×	body	80	nan
5.0ms	88×	body	160	valid
1.0ms	10×	body	640	valid
1.0ms	22×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
26.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms	(* (* 3.0 a) c)
83.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	419	716
1	1930	613
2	5002	608

prune175.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

6.0ms	(* (* 3.0 a) c)
166.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* 3.0 (* a c))
183.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series339.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
167.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* 3.0 (* a c))
131.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify112.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	684	3100
1	3307	2567
2	5001	2533

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 3.0 (* a c)) 3.0)
0.3b	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* 3.0 (* a c))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

521×	`times-frac`
319×	`add-sqr-sqrt` `*-un-lft-identity`
175×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
63×	`associate-/l*`
52×	`add-exp-log` `add-cbrt-cube`
43×	`div-inv`
36×	`distribute-rgt-neg-in` `sqrt-prod`
22×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r/`
9×	`pow1`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `pow-prod-down` `clear-num`
2×	`associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 369

Calls

4 calls:

9.0ms	(/ (* 3.0 (* a c)) 3.0)
49.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
31.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* 3.0 (* a c))

series379.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) 3.0)
153.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
187.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* 3.0 (* a c))

simplify91.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1186	7170
1	5002	6790

prune855.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (/ 3.0 1) 1) (/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
0.3b	(/ (* a c) 3.0)
0.3b	(/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b	(/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

35617×	`times-frac`
15367×	`add-sqr-sqrt` `*-un-lft-identity`
11527×	`add-cube-cbrt`
1920×	`distribute-lft-out--` `difference-of-squares`
1828×	`div-inv`
960×	`distribute-rgt-neg-in` `sqrt-prod`
320×	`associate-/r/`
235×	`associate-/r*`
197×	`add-exp-log`
164×	`div-exp`
137×	`flip3--` `flip--`
107×	`add-cbrt-cube`
73×	`cbrt-undiv`
54×	`associate-/l*`
25×	`1-exp`
10×	`prod-exp`
6×	`cbrt-unprod`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 7930

Calls

4 calls:

213.0ms	(/ (/ (/ 3.0 1) 1) (/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
3.0ms	(/ (* a c) 3.0)
35.0ms	(/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
24.0ms	(/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (/ (/ 3.0 1) 1) (/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
20.0ms	(/ (* a c) 3.0)
83.0ms	(/ a (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
180.0ms	(/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.3s

Algorithm

egg-herbie

Counts

7942 → 7942

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	9234	270082

prune26.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

345.0ms	3624×	body	320	valid
288.0ms	16060×	pre	80	true
239.0ms	8060×	body	80	nan
180.0ms	2912×	body	160	valid
66.0ms	533×	body	640	valid
32.0ms	931×	body	80	valid