Details

Time bar (total: 4.4s)

analyze405.0ms (9.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042340
142340
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
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
43.7%56.2%0.1%9
54.6%39%6.4%10
58.5%35.1%6.4%11
67.3%26.3%6.4%12
71.7%18.8%9.5%13
74.1%16.4%9.5%14
Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify15.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
020910
120910

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
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 x (*.f64 (*.f64 y 4) z))
0.2b
(*.f64 (*.f64 y 4) z)

rewrite37.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616
add-log-exp_binary64_7619
pow-prod-down_binary64_7651 prod-exp_binary64_7629 add-cube-cbrt_binary64_7615 cbrt-unprod_binary64_7613 add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 associate-*r*_binary64_7520
associate-*l*_binary64_7521 *-commutative_binary64_7511 diff-log_binary64_7672 flip3--_binary64_7584 sub-neg_binary64_7573 flip--_binary64_7555 cancel-sign-sub-inv_binary64_7546
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y 4) z)
3.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))
Compiler

Compiled 407 to 262 computations (35.6% saved)

series180.0ms (4.1%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

113.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))
54.0ms
(*.f64 (*.f64 y 4) z)
Compiler

Compiled 373 to 311 computations (16.6% saved)

simplify82.0ms (1.9%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
05625524

prune38.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355
Error
0b
Counts
55 → 3
Compiler

Compiled 528 to 288 computations (45.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 4 (*.f64 z y)))
0.0b
(*.f64 4 (*.f64 z y))

rewrite33.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616
add-log-exp_binary64_7619
pow-prod-down_binary64_7651 prod-exp_binary64_7629 add-cube-cbrt_binary64_7615 cbrt-unprod_binary64_7613 add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 associate-*l*_binary64_7521
associate-*r*_binary64_7520 *-commutative_binary64_7511 diff-log_binary64_7672 flip3--_binary64_7584 sub-neg_binary64_7573 flip--_binary64_7555 cancel-sign-sub-inv_binary64_7546
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 4 (*.f64 z y))
3.0ms
(-.f64 x (*.f64 4 (*.f64 z y)))
Compiler

Compiled 407 to 228 computations (44% saved)

series183.0ms (4.2%)

Error
0b
Counts
2 → 24
Calls

2 calls:

119.0ms
(-.f64 x (*.f64 4 (*.f64 z y)))
54.0ms
(*.f64 4 (*.f64 z y))
Compiler

Compiled 373 to 311 computations (16.6% saved)

simplify68.0ms (1.6%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04941520
14941520

prune34.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done000
Total54357
Error
0b
Counts
57 → 3
Compiler

Compiled 522 to 278 computations (46.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite75.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_7611
23×add-sqr-sqrt_binary64_7602
15×add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
11×pow1_binary64_7641
pow1/3_binary64_7662
add-exp-log_binary64_7618 swap-sqr_binary64_7547 associate-*l*_binary64_7521 associate-*r*_binary64_7520
add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 unswap-sqr_binary64_7548
pow-prod-down_binary64_7651 pow-prod-up_binary64_7650 pow-sqr_binary64_7553
pow2_binary64_7661 pow-plus_binary64_7643 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 *-commutative_binary64_7511
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1378 to 526 computations (61.8% saved)

series337.0ms (7.7%)

Error
0b
Counts
4 → 12
Calls

4 calls:

93.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
80.0ms
(cbrt.f64 z)
78.0ms
(cbrt.f64 z)
76.0ms
(cbrt.f64 z)
Compiler

Compiled 591 to 455 computations (23% saved)

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04873548
14873548

prune69.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1429 to 659 computations (53.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))

rewrite180.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_7611
23×add-sqr-sqrt_binary64_7602
18×cbrt-div_binary64_7612
15×add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
11×pow1_binary64_7641
pow1/3_binary64_7662 flip3-+_binary64_7583 flip-+_binary64_7554
add-exp-log_binary64_7618 swap-sqr_binary64_7547 associate-*l*_binary64_7521 associate-*r*_binary64_7520
add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 frac-times_binary64_7590 unswap-sqr_binary64_7548
pow-prod-down_binary64_7651 pow-prod-up_binary64_7650 pow-sqr_binary64_7553 associate-*l/_binary64_7523 associate-*r/_binary64_7522
pow2_binary64_7661 pow-plus_binary64_7643 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 *-commutative_binary64_7511
Counts
4 → 87
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)))
6.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
6.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
5.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
Compiler

Compiled 3392 to 1915 computations (43.5% saved)

series1.3s (29.7%)

Error
0b
Counts
4 → 92
Calls

4 calls:

336.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x)))
260.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
250.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
248.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -4) x))
Compiler

Compiled 9408 to 7133 computations (24.2% saved)

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050755615

prune322.0ms (7.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done022
Total1793182
Error
0b
Counts
182 → 3
Compiler

Compiled 6609 to 3777 computations (42.9% saved)

regimes162.0ms (3.7%)

Accuracy

Total 0.0b remaining (36.7%)

Threshold costs 0.0b (36.7%)

Compiler

Compiled 1045 to 907 computations (13.2% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05210
15210
Remove

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample631.0ms (14.5%)

Algorithm
intervals
Results
196.0ms8000×body128valid
6.0ms296×body128invalid
Compiler

Compiled 159 to 138 computations (13.2% saved)

Profiling

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