Details

Time bar (total: 2.5min)

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample43.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms168×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06615
16615

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×sum-log_binary64
3×flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
2×associate-+l+_binary64
Counts
3 → 38
Calls
3 calls:
12.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
7.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
17.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))

series164.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
11.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
133.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))

simplify48.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04895677
14895677

prune37.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 a b) (*.f64 a b))
0.3b
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
2.2b
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
27.6b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
19×add-sqr-sqrt_binary64
18×pow-prod-down_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×times-frac_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
6×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64
5×pow-prod-up_binary64 difference-of-squares_binary64 pow-sqr_binary64
4×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64 associate-/l*_binary64 frac-times_binary64
3×associate-/r*_binary64 flip3--_binary64 pow-plus_binary64 flip--_binary64
2×associate-/l/_binary64 associate-*r/_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64 pow2_binary64 associate--l+_binary64 associate-*l/_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 119
Calls
4 calls:
7.0ms
(*.f64 (*.f64 a b) (*.f64 a b))
10.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
12.0ms
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
20.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (*.f64 a b) (*.f64 a b))
16.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
179.0ms
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
101.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))

simplify54.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051602226

prune77.0ms

Filtered
83 candidates to 131 candidates (-57.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh011
Picked011
Done011
Total1304134

Merged error: 0.0b

Counts
134 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))
0.3b
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
2.2b
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
27.6b
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
20×times-frac_binary64
19×add-exp-log_binary64
18×associate-*r*_binary64
14×pow1_binary64
13×add-cbrt-cube_binary64
7×associate-*l*_binary64
6×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64 frac-times_binary64
5×flip3--_binary64 prod-exp_binary64 flip--_binary64
4×associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-/r*_binary64 swap-sqr_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-/l*_binary64
2×pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 rec-exp_binary64 div-inv_binary64 associate--l+_binary64 *-commutative_binary64
1×sub-neg_binary64 diff-log_binary64 pow-prod-up_binary64 pow-plus_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-sqr_binary64 pow-flip_binary64 pow2_binary64
Counts
4 → 125
Calls
4 calls:
8.0ms
(/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))
10.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
12.0ms
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
25.0ms
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))
16.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))
170.0ms
(-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b)))
96.0ms
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (*.f64 a b) (*.f64 a b))) (/.f64 1 (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052492540

prune78.0ms

Filtered
92 candidates to 137 candidates (-48.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done022
Total1374141

Merged error: 0.0b

Counts
141 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
0.2b
(pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3)
41.0b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
11×add-log-exp_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
5×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 cube-div_binary64 flip-+_binary64 sum-log_binary64
3×pow-unpow_binary64
2×cbrt-div_binary64 sqr-pow_binary64 +-commutative_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 associate-+r+_binary64 pow-exp_binary64
Counts
4 → 72
Calls
4 calls:
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
7.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
11.0ms
(pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3)
10.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))

series2.4min

Calls
1 calls:
121.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))

Profiling

Loading profile data...