Details

Time bar (total: 5.8s)

analyze957.0ms (16.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0270070
1270070
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Symmetry

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample26.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
012610
112610

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.5b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
1.5b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite49.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
1.5b
Rules
10×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
times-frac_binary64_17134
add-exp-log_binary64_17166 add-log-exp_binary64_17167 add-cbrt-cube_binary64_17164
associate-/l*_binary64_17073 associate-/r*_binary64_17072
pow1_binary64_17189 flip3--_binary64_17132 associate-/r/_binary64_17074 flip--_binary64_17103
div-exp_binary64_17179 cbrt-undiv_binary64_17162 frac-2neg_binary64_17139 clear-num_binary64_17127 div-inv_binary64_17125 diff-log_binary64_17220 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094
Counts
2 → 41
Calls

2 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 636 to 145 computations (77.2% saved)

series296.0ms (5.1%)

Error
1.5b
Counts
2 → 44
Calls

2 calls:

198.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
71.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1382 to 974 computations (29.5% saved)

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049641203
149641203

prune66.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New76985
Fresh000
Picked011
Done000
Total761086
Error
1.5b
Counts
86 → 10
Compiler

Compiled 1143 to 293 computations (74.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.4b
(/.f64 1 (-.f64 y (*.f64 t z)))
1.6b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))

rewrite86.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
1.4b
Rules
26×add-sqr-sqrt_binary64_17150
20×*-un-lft-identity_binary64_17128 times-frac_binary64_17134
19×add-cube-cbrt_binary64_17163
16×add-exp-log_binary64_17166
15×associate-*r*_binary64_17068
10×add-cbrt-cube_binary64_17164
pow1_binary64_17189
add-log-exp_binary64_17167
div-exp_binary64_17179 prod-exp_binary64_17177 associate-/r/_binary64_17074
unswap-sqr_binary64_17096 associate-*l*_binary64_17069 flip3--_binary64_17132 flip--_binary64_17103 associate-/l*_binary64_17073 associate-/r*_binary64_17072
1-exp_binary64_17172 rec-exp_binary64_17178 cbrt-unprod_binary64_17161 cbrt-undiv_binary64_17162 div-inv_binary64_17125
pow-prod-down_binary64_17199 un-div-inv_binary64_17126 associate-*r/_binary64_17070 *-commutative_binary64_17059 inv-pow_binary64_17213 pow-flip_binary64_17202 frac-2neg_binary64_17139 clear-num_binary64_17127 diff-log_binary64_17220 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094
Counts
3 → 83
Calls

3 calls:

10.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
5.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1456 to 565 computations (61.2% saved)

series468.0ms (8%)

Error
1.5b
Counts
3 → 67
Calls

3 calls:

206.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
129.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
87.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2476 to 1862 computations (24.8% saved)

simplify83.0ms (1.4%)

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
055272121

prune102.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1473150
Fresh268
Picked011
Done011
Total14911160
Error
1.4b
Counts
160 → 11
Compiler

Compiled 2190 to 720 computations (67.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.7b
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
1.5b
(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite114.0ms (2%)

Algorithm
rewrite-expression-head
Error
1.4b
Rules
84×times-frac_binary64_17134
53×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
16×add-exp-log_binary64_17166 associate-/r*_binary64_17072
10×add-cbrt-cube_binary64_17164
div-exp_binary64_17179
div-inv_binary64_17125 associate-/l*_binary64_17073
add-log-exp_binary64_17167
pow1_binary64_17189 cbrt-undiv_binary64_17162
frac-2neg_binary64_17139 clear-num_binary64_17127 flip3--_binary64_17132 associate-/l/_binary64_17075 flip--_binary64_17103 1-exp_binary64_17172 rec-exp_binary64_17178
div-sub_binary64_17133 inv-pow_binary64_17213 pow-flip_binary64_17202 associate-/r/_binary64_17074 diff-log_binary64_17220 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094
Counts
3 → 118
Calls

3 calls:

7.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
5.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2311 to 727 computations (68.5% saved)

series515.0ms (8.8%)

Error
1.4b
Counts
3 → 65
Calls

3 calls:

201.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
193.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
84.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1986 to 1440 computations (27.5% saved)

simplify74.0ms (1.3%)

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049643063
149643063

prune121.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1821183
Fresh178
Picked101
Done022
Total18410194
Error
1.4b
Counts
194 → 10
Compiler

Compiled 2757 to 726 computations (73.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.7b
(/.f64 1 (*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x)))
1.7b
(*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x))

rewrite108.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
1.4b
Rules
47×add-exp-log_binary64_17166
20×add-sqr-sqrt_binary64_17150
18×div-exp_binary64_17179
17×add-cbrt-cube_binary64_17164
16×prod-exp_binary64_17177
14×*-un-lft-identity_binary64_17128 times-frac_binary64_17134
13×add-cube-cbrt_binary64_17163 associate-*r*_binary64_17068
1-exp_binary64_17172 rec-exp_binary64_17178
pow1_binary64_17189
associate-/r/_binary64_17074
add-log-exp_binary64_17167 cbrt-undiv_binary64_17162 flip3--_binary64_17132 flip--_binary64_17103
cbrt-unprod_binary64_17161 frac-times_binary64_17138 associate-*l/_binary64_17071
unswap-sqr_binary64_17096 associate-*l*_binary64_17069 associate-/l*_binary64_17073
pow-prod-down_binary64_17199 un-div-inv_binary64_17126 associate-*r/_binary64_17070 div-inv_binary64_17125 pow-flip_binary64_17202
*-commutative_binary64_17059 inv-pow_binary64_17213 frac-2neg_binary64_17139 clear-num_binary64_17127 associate-/r*_binary64_17072 diff-log_binary64_17220 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094
Counts
3 → 96
Calls

3 calls:

10.0ms
(*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x))
9.0ms
(/.f64 1 (*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x)))
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1784 to 821 computations (54% saved)

series517.0ms (8.9%)

Error
1.4b
Counts
3 → 65
Calls

3 calls:

200.0ms
(/.f64 1 (*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x)))
200.0ms
(*.f64 (-.f64 y (*.f64 t z)) (/.f64 1 x))
81.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2076 to 1543 computations (25.7% saved)

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050452019

prune93.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh077
Picked011
Done022
Total16110171
Error
1.4b
Counts
171 → 10
Compiler

Compiled 2027 to 658 computations (67.5% saved)

regimes614.0ms (10.5%)

Accuracy

Total 0.1b remaining (3.2%)

Threshold costs 0.1b (3.2%)

Compiler

Compiled 6933 to 4653 computations (32.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510
Remove

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.4s (23.3%)

Algorithm
intervals
Results
235.0ms8000×body128valid
9.0ms328×body128invalid
Compiler

Compiled 1037 to 695 computations (33% saved)

Profiling

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