Details

Time bar (total: 7.3s)

sample69.0ms

Algorithm
intervals
Results
28.0ms907×body80nan
13.0ms302×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize11.0ms

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))))

rewrite108.0ms

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:
27.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
37.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
189.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
148.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify95.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08601389
137741282
250011276

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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))))
7.4b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×expm1-log1p-u associate-*r* associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 119
Calls
4 calls:
37.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
106.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series575.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
166.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify76.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07871284
131571135
250011129

prune393.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
21×associate-*r*
20×add-exp-log add-cbrt-cube
14×pow1
9×associate-*l/
8×associate-*r/ sqrt-prod
7×flip3-- associate-*l* prod-exp flip-- cbrt-unprod
6×sqrt-div
5×pow-prod-down
4×expm1-log1p-u frac-times associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 123
Calls
4 calls:
108.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
51.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
148.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
128.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
72.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify81.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07581396
133521232
250021226

prune408.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
0.3b
(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt
158×times-frac
119×*-un-lft-identity
87×sqrt-prod
79×add-cube-cbrt
41×associate-*l*
40×difference-of-squares
38×add-exp-log add-cbrt-cube
36×associate-*r*
20×distribute-lft-out--
15×associate-/r*
13×prod-exp cbrt-unprod
11×pow1
10×cbrt-undiv div-exp
9×associate-/l* unswap-sqr
5×associate-*l/
4×expm1-log1p-u sqrt-div pow-prod-down associate-/r/ log1p-expm1-u div-inv add-log-exp
3×flip3-- flip--
2×frac-times frac-2neg associate-*r/ clear-num *-commutative associate-/l/
1×div-sub
Counts
4 → 253
Calls
4 calls:
25.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
75.0ms
(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
79.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
206.0ms
(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
81.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
171.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
011132941
147792686
250012683

prune748.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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
01913
11913

end0.0ms

sample1.8s

Algorithm
intervals
Results
868.0ms27466×body80nan
321.0ms9173×body80valid