Details

Time bar (total: 5.3s)

analyze965.0ms (18.3%)

Algorithm
search
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
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample32.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms198×body80invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify17.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04922
14922

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.1b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

21.4b
(/.f64 (*.f64 x x) (*.f64 y y))
21.6b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
*-un-lft-identity_binary64 associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 clear-num_binary64 frac-2neg_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64
Counts
2 → 42
Calls

2 calls:

7.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

series12.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04975446
14975446

prune63.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New381048
Fresh000
Picked101
Done000
Total391049

Merged error: 5.6b

Counts
49 → 10
Compiler

Compiled 928 to 281 computations (69.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (/.f64 z t) (/.f64 z t))
21.4b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
41×times-frac_binary64
30×*-un-lft-identity_binary64 add-cube-cbrt_binary64
26×add-exp-log_binary64 add-cbrt-cube_binary64
13×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
pow1_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
div-inv_binary64
unswap-sqr_binary64
add-log-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 pow-sqr_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 88
Calls

2 calls:

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

series13.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
6.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05016934

prune100.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New821294
Fresh459
Picked101
Done000
Total8717104

Merged error: 0.1b

Counts
104 → 17
Compiler

Compiled 1962 to 598 computations (69.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
0.3b
(*.f64 (/.f64 z t) (/.f64 z t))

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt_binary64
80×times-frac_binary64
58×*-un-lft-identity_binary64 add-cube-cbrt_binary64
26×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
16×pow1_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-plus_binary64 pow-sqr_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 134
Calls

2 calls:

11.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
10.0ms
(*.f64 (/.f64 x y) (/.f64 x y))

series13.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify79.0ms (1.5%)

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
054831584

prune129.0ms (2.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New12911140
Fresh8816
Picked101
Done000
Total13819157

Merged error: 0.0b

Counts
157 → 19
Compiler

Compiled 2992 to 822 computations (72.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series64.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)

simplify86.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05124581

prune45.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh01818
Picked011
Done000
Total8420104

Merged error: 0.0b

Counts
104 → 20
Compiler

Compiled 2698 to 515 computations (80.9% saved)

regimes999.0ms (18.9%)

Compiler

Compiled 4488 to 3058 computations (31.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02046
12046

end0.0ms (0%)

sample2.4s (45.1%)

Algorithm
intervals
Results
343.0ms8000×body80valid
246.0ms5966×body80invalid
Compiler

Compiled 450 to 301 computations (33.1% saved)

Profiling

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