Details

Time bar (total: 9.8s)

sample92.0ms

Algorithm
intervals
Results
47.0ms815×body80nan
21.0ms295×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite112.0ms

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)))
39.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
32.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
190.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
151.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify95.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08601391
137681282
250021276

prune410.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

rewrite162.0ms

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×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u 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 → 271
Calls
4 calls:
30.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
44.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
15.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
57.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series989.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
223.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
119.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
371.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify64.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012293446
150023183

prune862.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))
0.3b
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

rewrite123.0ms

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×expm1-log1p-u frac-times sqrt-div associate-*l/ associate-/r/ log1p-expm1-u 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 → 236
Calls
4 calls:
31.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
49.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
16.0ms
(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
15.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

series905.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
229.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
288.0ms
(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
112.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011142950
150022733

prune757.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
123×add-sqr-sqrt
108×sqrt-prod
86×*-un-lft-identity
64×add-cube-cbrt
22×difference-of-squares
20×add-exp-log add-cbrt-cube
18×sqrt-div
16×associate-/r/ associate-/l*
15×associate-/r*
12×flip3-- flip--
11×distribute-lft-out--
9×div-inv
7×pow1 cbrt-undiv div-exp
6×associate-*l*
4×expm1-log1p-u frac-times associate-*r* log1p-expm1-u add-log-exp
3×flip3-+ prod-exp cbrt-unprod flip-+
2×frac-2neg associate-*r/ associate-*l/ clear-num
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 221
Calls
4 calls:
16.0ms
(sqrt (- a (/ 1.0 3.0)))
32.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))))
15.0ms
(/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0))))
27.0ms
(/ (/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

series766.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (- a (/ 1.0 3.0)))
279.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))))
164.0ms
(/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0))))
275.0ms
(/ (/ (* (sqrt 1.0) rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012083283
150013052

prune682.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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)

IterNodesCost
02014
12014

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s27461×body80nan
662.0ms9201×body80valid