Details

Time bar (total: 6.8s)

sample46.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.7b
(+ (* (+ x y) z) (* (+ t y) a))
2.7b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.8b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
12.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
35.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
80.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series743.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
45.0ms
(+ (* (+ x y) z) (* (+ t y) a))
95.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
582.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250031025

prune310.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.7b
(+ (* (+ x y) z) (* (+ t y) a))
10.8b
(/ (* y b) (+ (+ x t) y))
21.3b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
20×add-sqr-sqrt times-frac
19×distribute-lft-out
18×add-cube-cbrt associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/l/ add-log-exp
4×associate-*l* associate-/r/ associate-/l*
3×cbrt-undiv div-exp associate-*r*
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×+-commutative pow-prod-down sum-log *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
10.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
22.0ms
(/ (* y b) (+ (+ x t) y))
33.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series352.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
72.0ms
(/ (* y b) (+ (+ x t) y))
211.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0535998
12664922
25002922

prune346.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ x t) y) b)
1.7b
(+ (* (+ x y) z) (* (+ t y) a))
9.5b
(/ y (/ (+ (+ x t) y) b))
21.3b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
147×times-frac
80×add-sqr-sqrt add-cube-cbrt
60×distribute-lft-out
27×associate-/r*
16×associate-*l/
13×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
11×associate-/l*
8×frac-add associate-/l/
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num associate-/r/
1×+-commutative sum-log
Counts
4 → 189
Calls
4 calls:
34.0ms
(/ (+ (+ x t) y) b)
8.0ms
(+ (* (+ x y) z) (* (+ t y) a))
22.0ms
(/ y (/ (+ (+ x t) y) b))
33.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series425.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (+ (+ x t) y) b)
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
137.0ms
(/ y (/ (+ (+ x t) y) b))
215.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify82.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07261823
134781734
250011733

prune536.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x t) y))
1.7b
(+ (* (+ x y) z) (* (+ t y) a))
3.6b
(* (/ y (+ (+ x t) y)) b)
21.3b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
46×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
33×distribute-lft-out
21×associate-*l*
17×associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/r/ associate-/l/ associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 135
Calls
4 calls:
19.0ms
(/ y (+ (+ x t) y))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
46.0ms
(* (/ y (+ (+ x t) y)) b)
33.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series461.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ y (+ (+ x t) y))
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
142.0ms
(* (/ y (+ (+ x t) y)) b)
211.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify68.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05621213
125901129
250011129

prune388.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

regimes436.0ms

Accuracy

17.1% (17.5b remaining)

Error of 20.4b against oracle of 2.9b and baseline of 24.0b

bsearch690.0ms

Steps
ItersRangePoint
9
2.881075092756815e+79
1.8766978185172877e+88
1.0740017768696439e+86
8
1.7738851281952998e+27
3.415053659132961e+31
4.4486139245971244e+27
9
3.670570040940031e-31
1.1432380193496929e-25
1.124815810617408e-25
9
2.6941268844491673e-185
5.367965322871329e-179
5.143885661764243e-183
10
7.127760511990525e-292
5.743696053901802e-280
1.829058436943914e-282
10
-4.697042144913554e-288
-4.870625154650196e-298
-8.469488176137304e-290
7
-4.892089669061919e-277
-2.8468692113772575e-279
-3.0011721532957425e-279
7
-4.541056729908261e-196
-5.170954158333945e-198
-5.2560627363695754e-198
9
-1.0385934880099485e-95
-1.3034355320647412e-101
-1.442052623539858e-96
4
-9.976870585941412e-50
-5.617918252170266e-50
-7.5553554336738665e-50
8
-1.034655184596798e+141
-5.734977514068831e+136
-6.376626012784567e+136

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086137
188137
288137

end0.0ms

sample1.2s

Algorithm
intervals
Results
930.0ms7995×body80valid
1.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid