Details

Time bar (total: 4.0s)

analyze602.0ms (15%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0486640
1486640
033
133
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)

sample17.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify180.0ms (4.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (174.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
10.6b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
10.0b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite101.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_18173
10×*-un-lft-identity_binary64_18151
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
add-cube-cbrt_binary64_18186
cancel-sign-sub-inv_binary64_18117
associate-*r*_binary64_18091
pow1_binary64_18212 associate-*r/_binary64_18093 distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100
times-frac_binary64_18157 associate-/r*_binary64_18095 associate-*l*_binary64_18092
prod-exp_binary64_18200 div-exp_binary64_18202 add-log-exp_binary64_18190 cbrt-undiv_binary64_18185 cbrt-unprod_binary64_18184 flip3--_binary64_18155 associate-/l/_binary64_18098 flip--_binary64_18126 sub-neg_binary64_18144
frac-2neg_binary64_18162 clear-num_binary64_18150 div-inv_binary64_18148 associate-/l*_binary64_18096 pow-prod-down_binary64_18222 unswap-sqr_binary64_18119 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 *-commutative_binary64_18082
Counts
2 → 53
Calls

2 calls:

15.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
13.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 710 to 208 computations (70.7% saved)

series287.0ms (7.2%)

Error
2.8b
Counts
2 → 30
Calls

2 calls:

142.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
131.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify70.0ms (1.7%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05062790

prune56.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New78583
Fresh000
Picked011
Done000
Total78684
Error
0.0b
Counts
84 → 6
Compiler

Compiled 836 to 193 computations (76.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
3.6b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite154.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
138×times-frac_binary64_18157
102×add-sqr-sqrt_binary64_18173 *-un-lft-identity_binary64_18151
70×add-cube-cbrt_binary64_18186
26×associate-/r*_binary64_18095
16×difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103
11×associate-/r/_binary64_18097
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
div-inv_binary64_18148 associate-/l*_binary64_18096
flip3--_binary64_18155 flip--_binary64_18126
div-exp_binary64_18202 cbrt-undiv_binary64_18185
pow1_binary64_18212 add-log-exp_binary64_18190 frac-2neg_binary64_18162 clear-num_binary64_18150
Counts
2 → 139
Calls

2 calls:

17.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
10.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 2456 to 567 computations (76.9% saved)

series213.0ms (5.3%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

152.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
47.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 540 to 395 computations (26.9% saved)

simplify90.0ms (2.2%)

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049763012
149763012

prune114.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1633166
Fresh314
Picked011
Done011
Total1666172
Error
0b
Counts
172 → 6
Compiler

Compiled 2448 to 470 computations (80.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.7b
(*.f64 x (-.f64 1 (/.f64 z y)))

rewrite53.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
27×add-sqr-sqrt_binary64_18173
26×cancel-sign-sub-inv_binary64_18117
21×*-un-lft-identity_binary64_18151
20×times-frac_binary64_18157
17×add-cube-cbrt_binary64_18186
14×distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100
associate-*r*_binary64_18091
difference-of-squares_binary64_18120
pow1_binary64_18212 add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 associate-*l*_binary64_18092
sub-neg_binary64_18144 div-inv_binary64_18148 associate-*r/_binary64_18093
pow-prod-down_binary64_18222 prod-exp_binary64_18200 add-log-exp_binary64_18190 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 flip3--_binary64_18155 flip--_binary64_18126 distribute-lft-out--_binary64_18103 *-commutative_binary64_18082
Counts
1 → 53
Calls

1 calls:

13.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 855 to 392 computations (54.2% saved)

series138.0ms (3.4%)

Error
0b
Counts
1 → 15
Calls

1 calls:

133.0ms
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 237 to 166 computations (30% saved)

simplify92.0ms (2.3%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05080713

prune43.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh123
Picked101
Done022
Total69574
Error
0b
Counts
74 → 5
Compiler

Compiled 669 to 227 computations (66.1% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.1b
(*.f64 (/.f64 z y) x)

rewrite38.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_18173
13×associate-*l*_binary64_18092
10×times-frac_binary64_18157
add-cube-cbrt_binary64_18186 *-un-lft-identity_binary64_18151
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
pow1_binary64_18212 associate-*r*_binary64_18091
prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119
pow-prod-down_binary64_18222 div-exp_binary64_18202 add-log-exp_binary64_18190 cbrt-undiv_binary64_18185 associate-*l/_binary64_18094 div-inv_binary64_18148 *-commutative_binary64_18082
Counts
1 → 32
Calls

1 calls:

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

Compiled 469 to 184 computations (60.8% saved)

series122.0ms (3%)

Error
0b
Counts
1 → 9
Calls

1 calls:

117.0ms
(*.f64 (/.f64 z y) x)
Compiler

Compiled 216 to 133 computations (38.4% saved)

simplify102.0ms (2.6%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
05201378

prune27.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done022
Total41546
Error
0b
Counts
46 → 5
Compiler

Compiled 504 to 159 computations (68.5% saved)

regimes281.0ms (7%)

Accuracy

Total 1.8b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2046 to 1395 computations (31.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02752
12752

end0.0ms (0%)

sample1.2s (30%)

Algorithm
intervals
Results
253.0ms8000×body128valid
27.0ms706×body128invalid
Compiler

Compiled 551 to 370 computations (32.8% saved)

Profiling

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