Details

Time bar (total: 2.8s)

analyze340.0ms (12.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify234.0ms (8.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (135.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.5b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
11.8b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_17150
10×*-un-lft-identity_binary64_17128
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
add-cube-cbrt_binary64_17163
cancel-sign-sub-inv_binary64_17094
associate-*r*_binary64_17068
associate-*r/_binary64_17070 distribute-rgt-in_binary64_17078 pow1_binary64_17189 distribute-lft-in_binary64_17077
times-frac_binary64_17134 associate-/r*_binary64_17072 associate-*l*_binary64_17069
cbrt-undiv_binary64_17162 cbrt-unprod_binary64_17161 flip--_binary64_17103 prod-exp_binary64_17177 add-log-exp_binary64_17167 associate-/l/_binary64_17075 sub-neg_binary64_17121 div-exp_binary64_17179 flip3--_binary64_17132
difference-of-squares_binary64_17097 clear-num_binary64_17127 associate-/l*_binary64_17073 frac-2neg_binary64_17139 unswap-sqr_binary64_17096 *-commutative_binary64_17059 distribute-lft-out--_binary64_17080 pow-prod-down_binary64_17199 div-inv_binary64_17125
Counts
2 → 53
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))

series221.0ms (7.9%)

Counts
2 → 29
Calls

2 calls:

131.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
89.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 337 to 296 computations (12.2% saved)

simplify53.0ms (1.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05334796

prune53.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh000
Picked011
Done000
Total78583

Merged error: 0b

Counts
83 → 5
Compiler

Compiled 828 to 212 computations (74.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
2.9b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_17150
36×*-un-lft-identity_binary64_17128
31×times-frac_binary64_17134
22×add-cube-cbrt_binary64_17163
19×associate-*r*_binary64_17068
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
difference-of-squares_binary64_17097 distribute-lft-out--_binary64_17080
associate-/l*_binary64_17073
pow1_binary64_17189
associate-/r*_binary64_17072 associate-*l*_binary64_17069
cbrt-undiv_binary64_17162 cbrt-unprod_binary64_17161 prod-exp_binary64_17177 add-log-exp_binary64_17167 unswap-sqr_binary64_17096 associate-/l/_binary64_17075 div-exp_binary64_17179 div-inv_binary64_17125
associate-*r/_binary64_17070 clear-num_binary64_17127 flip--_binary64_17103 frac-2neg_binary64_17139 div-sub_binary64_17133 *-commutative_binary64_17059 flip3--_binary64_17132 pow-prod-down_binary64_17199
Counts
2 → 76
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms
(/.f64 (-.f64 y z) y)

series189.0ms (6.7%)

Counts
2 → 25
Calls

2 calls:

125.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
63.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 260 to 255 computations (1.9% saved)

simplify70.0ms (2.5%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049561189
149561189

prune54.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 0b

Counts
106 → 5
Compiler

Compiled 1199 to 286 computations (76.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
2.9b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_17134
102×add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
70×add-cube-cbrt_binary64_17163
26×associate-/r*_binary64_17072
16×difference-of-squares_binary64_17097 distribute-lft-out--_binary64_17080
11×associate-/r/_binary64_17074
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
associate-/l*_binary64_17073 div-inv_binary64_17125
flip--_binary64_17103 flip3--_binary64_17132
cbrt-undiv_binary64_17162 div-exp_binary64_17179
clear-num_binary64_17127 pow1_binary64_17189 frac-2neg_binary64_17139 add-log-exp_binary64_17167
Counts
2 → 139
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
7.0ms
(/.f64 y (-.f64 y z))

series172.0ms (6.1%)

Counts
2 → 27
Calls

2 calls:

124.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
48.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 361 to 328 computations (9.1% saved)

simplify71.0ms (2.5%)

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049623038
149623038

prune99.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1642166
Fresh202
Picked011
Done022
Total1665171

Merged error: 0b

Counts
171 → 5
Compiler

Compiled 2449 to 468 computations (80.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.1b
(*.f64 (/.f64 x y) (-.f64 y z))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_17150
13×*-un-lft-identity_binary64_17128 associate-*l*_binary64_17069
11×add-cube-cbrt_binary64_17163
10×times-frac_binary64_17134
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166 cancel-sign-sub-inv_binary64_17094
associate-*r*_binary64_17068
distribute-rgt-in_binary64_17078 distribute-lft-in_binary64_17077
pow1_binary64_17189
associate-*r/_binary64_17070 cbrt-unprod_binary64_17161 flip--_binary64_17103 prod-exp_binary64_17177 frac-times_binary64_17138 unswap-sqr_binary64_17096 sub-neg_binary64_17121 flip3--_binary64_17132
difference-of-squares_binary64_17097 cbrt-undiv_binary64_17162 associate-*l/_binary64_17071 add-log-exp_binary64_17167 div-exp_binary64_17179 *-commutative_binary64_17059 distribute-lft-out--_binary64_17080 pow-prod-down_binary64_17199 div-inv_binary64_17125
Counts
1 → 46
Calls

1 calls:

10.0ms
(*.f64 (/.f64 x y) (-.f64 y z))

series129.0ms (4.6%)

Counts
1 → 14
Calls

1 calls:

129.0ms
(*.f64 (/.f64 x y) (-.f64 y z))
Compiler

Compiled 145 to 134 computations (7.6% saved)

simplify57.0ms (2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05343704

prune32.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done033
Total60565

Merged error: 0b

Counts
65 → 5
Compiler

Compiled 652 to 148 computations (77.3% saved)

regimes213.0ms (7.6%)

Compiler

Compiled 874 to 646 computations (26.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
036110
136110

end0.0ms (0%)

sample701.0ms (25%)

Algorithm
intervals
Results
225.0ms8000×body128valid
20.0ms759×body128invalid
Compiler

Compiled 307 to 192 computations (37.5% saved)

Profiling

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