Details

Time bar (total: 5.6s)

analyze369.0ms (6.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036140
136140
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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample23.0ms (0.4%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify18.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
024110
124110

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.9b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.6b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite33.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
3.8b
Rules
5×add-sqr-sqrt_binary64_7602
3×pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580 associate-*l*_binary64_7521 associate-*r*_binary64_7520
2×sub-neg_binary64_7573 distribute-rgt-in_binary64_7530 cancel-sign-sub-inv_binary64_7546 distribute-lft-in_binary64_7529 associate-*r/_binary64_7522
1×pow-prod-down_binary64_7651 prod-exp_binary64_7629 add-log-exp_binary64_7619 cbrt-unprod_binary64_7613 unswap-sqr_binary64_7548 flip3--_binary64_7584 flip--_binary64_7555 *-commutative_binary64_7511
Counts
1 → 24
Calls

1 calls:

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

Compiled 340 to 178 computations (47.6% saved)

series112.0ms (2%)

Error
3.8b
Counts
1 → 15
Calls

1 calls:

104.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04868429
14868429

prune32.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840
Error
3.7b
Counts
40 → 8
Compiler

Compiled 480 to 247 computations (48.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 z y))))
3.6b
(*.f64 x (-.f64 1 (*.f64 z y)))
3.6b
(*.f64 x (-.f64 1 (*.f64 z y)))
3.6b
(*.f64 x (-.f64 1 (*.f64 z y)))

rewrite145.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Error
3.7b
Rules
16×add-sqr-sqrt_binary64_7602
10×pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
9×associate-*l*_binary64_7521 associate-*r*_binary64_7520
8×associate-*r/_binary64_7522
6×sub-neg_binary64_7573 distribute-rgt-in_binary64_7530 cancel-sign-sub-inv_binary64_7546 distribute-lft-in_binary64_7529
4×add-log-exp_binary64_7619 flip3--_binary64_7584 flip--_binary64_7555
3×pow-prod-down_binary64_7651 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 unswap-sqr_binary64_7548 *-commutative_binary64_7511
2×cbrt-div_binary64_7612
1×pow1/3_binary64_7662 cbrt-prod_binary64_7611
Counts
4 → 83
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 z y))))
Compiler

Compiled 2771 to 1503 computations (45.8% saved)

series815.0ms (14.6%)

Error
3.7b
Counts
4 → 69
Calls

4 calls:

342.0ms
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 z y))))
135.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
127.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
118.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
Compiler

Compiled 5546 to 3537 computations (36.2% saved)

simplify71.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049642293
149642293

prune210.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1493152
Fresh066
Picked101
Done011
Total15010160
Error
3.7b
Counts
160 → 10
Compiler

Compiled 4879 to 2598 computations (46.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
3.6b
(*.f64 x (-.f64 1 (*.f64 z y)))
3.6b
(*.f64 x (-.f64 1 (*.f64 z y)))
3.8b
(cbrt.f64 (-.f64 1 (*.f64 z y)))

rewrite120.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
3.7b
Rules
14×add-sqr-sqrt_binary64_7602
10×add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
8×pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616
6×cbrt-prod_binary64_7611 associate-*l*_binary64_7521 associate-*r*_binary64_7520
4×add-log-exp_binary64_7619 sub-neg_binary64_7573 distribute-rgt-in_binary64_7530 cancel-sign-sub-inv_binary64_7546 distribute-lft-in_binary64_7529 associate-*r/_binary64_7522
3×flip3--_binary64_7584 flip--_binary64_7555
2×pow1/3_binary64_7662 cbrt-div_binary64_7612 pow-prod-down_binary64_7651 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 unswap-sqr_binary64_7548 *-commutative_binary64_7511
Counts
4 → 72
Calls

4 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2448 to 1299 computations (46.9% saved)

series537.0ms (9.6%)

Error
3.7b
Counts
4 → 49
Calls

4 calls:

138.0ms
(cbrt.f64 (-.f64 1 (*.f64 z y)))
128.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
126.0ms
(*.f64 x (-.f64 1 (*.f64 z y)))
84.0ms
(cbrt.f64 x)
Compiler

Compiled 3881 to 2483 computations (36% saved)

simplify57.0ms (1%)

Algorithm
1×egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050251432

prune167.0ms (3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh088
Picked011
Done011
Total12011131
Error
3.7b
Counts
131 → 11
Compiler

Compiled 3921 to 2053 computations (47.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.9b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))
2.0b
(*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x))

rewrite94.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
3.7b
Rules
18×pow1_binary64_7641 add-exp-log_binary64_7618
13×add-sqr-sqrt_binary64_7602
11×add-cbrt-cube_binary64_7616
10×cbrt-prod_binary64_7611
9×pow-prod-down_binary64_7651 prod-exp_binary64_7629 add-cube-cbrt_binary64_7615 cbrt-unprod_binary64_7613 *-un-lft-identity_binary64_7580
7×associate-*r*_binary64_7520
4×add-log-exp_binary64_7619 associate-*l/_binary64_7523 associate-*l*_binary64_7521
2×unswap-sqr_binary64_7548 flip3--_binary64_7584 flip--_binary64_7555 *-commutative_binary64_7511 associate-*r/_binary64_7522 pow1/3_binary64_7662
Counts
4 → 70
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))
8.0ms
(*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1494 to 541 computations (63.8% saved)

series614.0ms (11%)

Error
3.7b
Counts
4 → 36
Calls

4 calls:

321.0ms
(*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x))
128.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))
73.0ms
(cbrt.f64 x)
70.0ms
(cbrt.f64 x)
Compiler

Compiled 1182 to 804 computations (32% saved)

simplify48.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
052951121

prune72.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1042106
Fresh088
Picked011
Done022
Total10413117
Error
3.7b
Counts
117 → 13
Compiler

Compiled 1551 to 578 computations (62.7% saved)

regimes413.0ms (7.4%)

Accuracy

Total 0.2b remaining (4.8%)

Threshold costs 0.2b (4.8%)

Compiler

Compiled 4586 to 3352 computations (26.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07810
17810
Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample1.5s (27.3%)

Algorithm
1×intervals
Results
404.0ms8000×body128valid
12.0ms512×body128invalid
Compiler

Compiled 731 to 534 computations (26.9% saved)

Profiling

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