Details

Time bar (total: 2.5s)

analyze347.0ms (14%)

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify172.0ms (7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04210
14210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

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))
13.1b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_14219 add-exp-log_binary64_14221
*-un-lft-identity_binary64_14183 add-sqr-sqrt_binary64_14205
add-cube-cbrt_binary64_14218
associate-*r/_binary64_14125 associate-*r*_binary64_14123 pow1_binary64_14244
times-frac_binary64_14189 associate-*l*_binary64_14124 associate-/r*_binary64_14127
prod-exp_binary64_14232 cbrt-undiv_binary64_14217 flip3-+_binary64_14186 associate-/l/_binary64_14130 flip-+_binary64_14157 div-exp_binary64_14234 cbrt-unprod_binary64_14216 add-log-exp_binary64_14222
clear-num_binary64_14182 distribute-lft-out_binary64_14134 div-inv_binary64_14180 associate-/l*_binary64_14128 unswap-sqr_binary64_14151 distribute-lft-in_binary64_14132 *-commutative_binary64_14114 distribute-rgt-in_binary64_14133 pow-prod-down_binary64_14254 frac-2neg_binary64_14194
Counts
2 → 46
Calls

2 calls:

8.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms
(*.f64 x (+.f64 y z))

series136.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

82.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
54.0ms
(*.f64 x (+.f64 y z))

simplify66.0ms (2.7%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05077553

prune94.0ms (3.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0b

Counts
53 → 6
Compiler

Compiled 1528 to 758 computations (50.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (+.f64 y z))
3.0b
(/.f64 x (/.f64 z (+.f64 y z)))

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
114×times-frac_binary64_14189
94×*-un-lft-identity_binary64_14183
62×add-cube-cbrt_binary64_14218 add-sqr-sqrt_binary64_14205
22×associate-/r*_binary64_14127
16×distribute-lft-out_binary64_14134
11×associate-/r/_binary64_14129
add-cbrt-cube_binary64_14219 add-exp-log_binary64_14221
div-inv_binary64_14180 associate-/l*_binary64_14128
flip3-+_binary64_14186 flip-+_binary64_14157
cbrt-undiv_binary64_14217 div-exp_binary64_14234
clear-num_binary64_14182 frac-2neg_binary64_14194 pow1_binary64_14244 add-log-exp_binary64_14222
Counts
2 → 123
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
6.0ms
(/.f64 z (+.f64 y z))

series162.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

103.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
58.0ms
(/.f64 z (+.f64 y z))

simplify86.0ms (3.5%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
053482384

prune84.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh235
Picked011
Done000
Total1305135

Merged error: 0b

Counts
135 → 5
Compiler

Compiled 2031 to 439 computations (78.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 y z) z)
3.4b
(*.f64 x (/.f64 (+.f64 y z) z))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64_14183
25×times-frac_binary64_14189 add-sqr-sqrt_binary64_14205
20×add-cube-cbrt_binary64_14218
16×associate-*r*_binary64_14123
add-cbrt-cube_binary64_14219 add-exp-log_binary64_14221
distribute-lft-out_binary64_14134
associate-/l*_binary64_14128 pow1_binary64_14244
associate-*l*_binary64_14124 associate-/r*_binary64_14127
prod-exp_binary64_14232 div-inv_binary64_14180 cbrt-undiv_binary64_14217 unswap-sqr_binary64_14151 associate-/l/_binary64_14130 div-exp_binary64_14234 cbrt-unprod_binary64_14216 add-log-exp_binary64_14222
clear-num_binary64_14182 associate-*r/_binary64_14125 flip3-+_binary64_14186 *-commutative_binary64_14114 pow-prod-down_binary64_14254 frac-2neg_binary64_14194 flip-+_binary64_14157
Counts
2 → 68
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms
(/.f64 (+.f64 y z) z)

series115.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

83.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
32.0ms
(/.f64 (+.f64 y z) z)

simplify51.0ms (2.1%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05245932

prune44.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0b

Counts
79 → 5
Compiler

Compiled 960 to 230 computations (76% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.2b
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
13.1b
(/.f64 z (*.f64 x (+.f64 y z)))

rewrite33.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
42×times-frac_binary64_14189
31×add-exp-log_binary64_14221
27×*-un-lft-identity_binary64_14183 add-sqr-sqrt_binary64_14205
25×add-cube-cbrt_binary64_14218
19×add-cbrt-cube_binary64_14219
14×div-exp_binary64_14234
12×associate-*r/_binary64_14125
11×associate-/r/_binary64_14129
10×associate-/r*_binary64_14127
cbrt-undiv_binary64_14217
div-inv_binary64_14180 associate-/l*_binary64_14128 flip3-+_binary64_14186 flip-+_binary64_14157 pow1_binary64_14244
prod-exp_binary64_14232
associate-*r*_binary64_14123
associate-*l*_binary64_14124 1-exp_binary64_14227 rec-exp_binary64_14233 cbrt-unprod_binary64_14216 add-log-exp_binary64_14222
clear-num_binary64_14182 frac-2neg_binary64_14194
distribute-lft-out_binary64_14134 inv-pow_binary64_14268 unswap-sqr_binary64_14151 distribute-lft-in_binary64_14132 *-commutative_binary64_14114 distribute-rgt-in_binary64_14133 pow-flip_binary64_14257 pow-prod-down_binary64_14254
Counts
3 → 110
Calls

3 calls:

10.0ms
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
7.0ms
(/.f64 z (*.f64 x (+.f64 y z)))
7.0ms
(*.f64 x (+.f64 y z))

series193.0ms (7.8%)

Counts
3 → 9
Calls

3 calls:

75.0ms
(/.f64 z (*.f64 x (+.f64 y z)))
72.0ms
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
45.0ms
(*.f64 x (+.f64 y z))

simplify73.0ms (3%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049731680
149731680

prune79.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh022
Picked011
Done022
Total1195124

Merged error: 0b

Counts
124 → 5
Compiler

Compiled 1651 to 553 computations (66.5% saved)

regimes43.0ms (1.8%)

Compiler

Compiled 123 to 120 computations (2.4% saved)

bsearch40.0ms (1.6%)

Steps
ItersRangePoint
9
6.927782593710435e-147
2.3350050830710066e-141
2.1382498498323363e-143
9
1.7992904677655434e-302
1.57597123876141e-294
2.503793877446147e-301
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02437
12437

end0.0ms (0%)

sample541.0ms (21.9%)

Algorithm
intervals
Results
216.0ms8000×body128valid
23.0ms775×body128invalid
Compiler

Compiled 79 to 67 computations (15.2% saved)

Profiling

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