Details

Time bar (total: 2.8s)

analyze421.0ms (14.9%)

Algorithm
1×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
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
Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify93.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
012610
112610

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

2.2b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_18514 times-frac_binary64_18498 add-cube-cbrt_binary64_18527 *-un-lft-identity_binary64_18492
3×add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528 associate-/l*_binary64_18437 associate-/r*_binary64_18436
2×associate-/r/_binary64_18438
1×div-exp_binary64_18543 pow1_binary64_18553 flip--_binary64_18467 frac-2neg_binary64_18503 flip3--_binary64_18496 add-log-exp_binary64_18531 clear-num_binary64_18491 cbrt-undiv_binary64_18526 div-inv_binary64_18489
Counts
1 → 29
Calls

1 calls:

4.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

series49.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

simplify63.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04978511
14978511

prune33.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New27532
Fresh000
Picked011
Done000
Total27633
Error
2.1b
Counts
33 → 6
Compiler

Compiled 501 to 143 computations (71.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (-.f64 y (*.f64 z t)))
2.0b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64_18514
20×times-frac_binary64_18498
19×*-un-lft-identity_binary64_18492
18×add-cube-cbrt_binary64_18527
15×add-exp-log_binary64_18530 associate-*r*_binary64_18432
9×add-cbrt-cube_binary64_18528
5×pow1_binary64_18553
4×div-exp_binary64_18543 prod-exp_binary64_18541 associate-/r/_binary64_18438
3×unswap-sqr_binary64_18460 associate-*l*_binary64_18433 associate-/l*_binary64_18437 associate-/r*_binary64_18436
2×rec-exp_binary64_18542 flip--_binary64_18467 flip3--_binary64_18496 cbrt-unprod_binary64_18525 add-log-exp_binary64_18531 cbrt-undiv_binary64_18526 div-inv_binary64_18489 1-exp_binary64_18536
1×un-div-inv_binary64_18490 associate-*r/_binary64_18434 pow-flip_binary64_18566 frac-2neg_binary64_18503 *-commutative_binary64_18423 inv-pow_binary64_18577 clear-num_binary64_18491 pow-prod-down_binary64_18563
Counts
2 → 71
Calls

2 calls:

9.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))
5.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))

series89.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 z t))))
40.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))

simplify87.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048491037
148491037

prune49.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh044
Picked011
Done011
Total77683
Error
2.1b
Counts
83 → 6
Compiler

Compiled 1144 to 385 computations (66.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.2b
(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite22.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64_18498
52×add-sqr-sqrt_binary64_18514 add-cube-cbrt_binary64_18527 *-un-lft-identity_binary64_18492
16×associate-/r*_binary64_18436
15×add-exp-log_binary64_18530
9×add-cbrt-cube_binary64_18528
8×div-exp_binary64_18543
6×associate-/l*_binary64_18437 div-inv_binary64_18489
4×cbrt-undiv_binary64_18526
3×pow1_binary64_18553
2×rec-exp_binary64_18542 associate-/l/_binary64_18439 frac-2neg_binary64_18503 add-log-exp_binary64_18531 clear-num_binary64_18491 1-exp_binary64_18536
1×pow-flip_binary64_18566 flip--_binary64_18467 flip3--_binary64_18496 associate-/r/_binary64_18438 inv-pow_binary64_18577 div-sub_binary64_18497
Counts
2 → 106
Calls

2 calls:

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

series163.0ms (5.8%)

Counts
2 → 6
Calls

2 calls:

115.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
48.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)

simplify81.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
059282210

prune78.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh123
Picked011
Done022
Total1126118
Error
2.1b
Counts
118 → 6
Compiler

Compiled 1885 to 466 computations (75.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (-.f64 y (*.f64 z t)))
2.1b
(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

rewrite57.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
474×times-frac_binary64_18498
220×add-sqr-sqrt_binary64_18514 add-cube-cbrt_binary64_18527 *-un-lft-identity_binary64_18492
46×add-exp-log_binary64_18530
34×div-exp_binary64_18543
32×div-inv_binary64_18489
31×associate-/r/_binary64_18438
18×associate-/l*_binary64_18437
16×add-cbrt-cube_binary64_18528 associate-/r*_binary64_18436
15×flip--_binary64_18467 flip3--_binary64_18496
9×rec-exp_binary64_18542 cbrt-undiv_binary64_18526 1-exp_binary64_18536
3×pow1_binary64_18553
2×frac-2neg_binary64_18503 add-log-exp_binary64_18531 clear-num_binary64_18491
1×associate-/l/_binary64_18439 pow-flip_binary64_18566 inv-pow_binary64_18577
Counts
2 → 288
Calls

2 calls:

14.0ms
(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))
5.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))

series138.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

95.0ms
(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))
42.0ms
(/.f64 1 (-.f64 y (*.f64 z t)))

simplify120.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
055118296

prune252.0ms (8.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2940294
Fresh022
Picked011
Done033
Total2946300
Error
2.1b
Counts
300 → 6
Compiler

Compiled 6146 to 2169 computations (64.7% saved)

regimes200.0ms (7.1%)

Accuracy

Total 0.1b remaining (2.7%)

Threshold costs 0.1b (2.7%)

Compiler

Compiled 2047 to 1349 computations (34.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510

end0.0ms (0%)

sample750.0ms (26.6%)

Algorithm
1×intervals
Results
235.0ms8000×body128valid
10.0ms356×body128invalid
Compiler

Compiled 339 to 223 computations (34.2% saved)

Profiling

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