Details

Time bar (total: 2.1s)

analyze313.0ms (15.1%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.8%)

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

Compiled 19 to 20 computations (-5.3% saved)

simplify178.0ms (8.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
027410
127410

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 x 1) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_4142
associate-*l*_binary64_4064 *-un-lft-identity_binary64_4121
add-log-exp_binary64_4157 add-exp-log_binary64_4156 add-cbrt-cube_binary64_4154 add-cube-cbrt_binary64_4153 pow1_binary64_4179
associate-*r*_binary64_4063
difference-of-squares_binary64_4090 associate-*l/_binary64_4066
cbrt-unprod_binary64_4151 +-commutative_binary64_4053 sum-log_binary64_4209 flip--_binary64_4096 prod-exp_binary64_4167 flip-+_binary64_4095 *-commutative_binary64_4054 unswap-sqr_binary64_4089 difference-of-sqr-1_binary64_4091 distribute-lft-out--_binary64_4075 flip3--_binary64_4125 pow-prod-down_binary64_4189 flip3-+_binary64_4124
Counts
2 → 35
Calls

2 calls:

8.0ms
(*.f64 (-.f64 x 1) z)
6.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))

series93.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
39.0ms
(*.f64 (-.f64 x 1) z)

simplify59.0ms (2.9%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04973473
14973473

prune31.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh011
Picked011
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3
Compiler

Compiled 582 to 278 computations (52.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_4142 *-un-lft-identity_binary64_4121
associate-*r*_binary64_4063 add-log-exp_binary64_4157 add-exp-log_binary64_4156 add-cbrt-cube_binary64_4154 add-cube-cbrt_binary64_4153 pow1_binary64_4179
associate-*l*_binary64_4064
distribute-lft-in_binary64_4072 associate--l+_binary64_4060 distribute-rgt-in_binary64_4073 associate-*r/_binary64_4065
cbrt-unprod_binary64_4151 flip--_binary64_4096 prod-exp_binary64_4167 diff-log_binary64_4210 sub-neg_binary64_4114 flip-+_binary64_4095 *-commutative_binary64_4054 unswap-sqr_binary64_4089 flip3--_binary64_4125 pow-prod-down_binary64_4189 flip3-+_binary64_4124 distribute-lft-out_binary64_4074
Counts
2 → 36
Calls

2 calls:

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

series99.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(-.f64 (*.f64 x (+.f64 y z)) z)
47.0ms
(*.f64 x (+.f64 y z))

simplify61.0ms (2.9%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05013470

prune25.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done011
Total42345

Merged error: 0.0b

Counts
45 → 3
Compiler

Compiled 508 to 135 computations (73.4% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
0.2b
(cbrt.f64 (-.f64 x 1))
0.2b
(cbrt.f64 (-.f64 x 1))
0.2b
(cbrt.f64 (-.f64 x 1))

rewrite37.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod_binary64_4149
55×add-sqr-sqrt_binary64_4142
44×*-un-lft-identity_binary64_4121
18×cbrt-div_binary64_4150
16×difference-of-squares_binary64_4090
15×add-cube-cbrt_binary64_4153
14×swap-sqr_binary64_4088
11×pow1_binary64_4179
10×associate-*l*_binary64_4064 associate-*r*_binary64_4063
flip--_binary64_4096 pow1/3_binary64_4200 difference-of-sqr-1_binary64_4091 distribute-lft-out--_binary64_4075 flip3--_binary64_4125
add-exp-log_binary64_4156
add-log-exp_binary64_4157 unswap-sqr_binary64_4089 add-cbrt-cube_binary64_4154 frac-times_binary64_4131
pow-prod-up_binary64_4188 pow-sqr_binary64_4094 pow-prod-down_binary64_4189 associate-*l/_binary64_4066 associate-*r/_binary64_4065
cbrt-unprod_binary64_4151 pow-plus_binary64_4181 prod-exp_binary64_4167 *-commutative_binary64_4054 pow2_binary64_4199
Counts
4 → 115
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
4.0ms
(cbrt.f64 (-.f64 x 1))
4.0ms
(cbrt.f64 (-.f64 x 1))
4.0ms
(cbrt.f64 (-.f64 x 1))

series234.0ms (11.3%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
60.0ms
(cbrt.f64 (-.f64 x 1))
53.0ms
(cbrt.f64 (-.f64 x 1))
49.0ms
(cbrt.f64 (-.f64 x 1))

simplify88.0ms (4.2%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049212030
149212030

prune169.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done022
Total1273130

Merged error: 0.0b

Counts
130 → 3
Compiler

Compiled 3336 to 2274 computations (31.8% saved)

regimes49.0ms (2.4%)

Compiler

Compiled 232 to 202 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample558.0ms (27%)

Algorithm
intervals
Results
240.0ms8000×body128valid
19.0ms661×body128invalid
Compiler

Compiled 71 to 62 computations (12.7% saved)

Profiling

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