Details

Time bar (total: 8.3s)

analyze686.0ms (8.3%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022870
122870
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
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample27.0ms (0.3%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
2.0ms63×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.8b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite7.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_5570 add-exp-log_binary64_5572
4×cbrt-unprod_binary64_5567 div-exp_binary64_5585 prod-exp_binary64_5583 cbrt-undiv_binary64_5568
1×div-inv_binary64_5531 *-un-lft-identity_binary64_5534 frac-2neg_binary64_5545 times-frac_binary64_5540 add-log-exp_binary64_5573 associate-/l*_binary64_5479 associate-/r*_binary64_5478 clear-num_binary64_5533 add-sqr-sqrt_binary64_5556 add-cube-cbrt_binary64_5569 pow1_binary64_5595
Counts
1 → 21
Calls

1 calls:

6.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series31.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify71.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05076280

prune25.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725
Error
0.1b
Counts
25 → 7
Compiler

Compiled 290 to 99 computations (65.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.4b
(*.f64 a2 (/.f64 a1 b1))
7.2b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite17.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_5556
16×add-cbrt-cube_binary64_5570 add-exp-log_binary64_5572
13×times-frac_binary64_5540 associate-*r*_binary64_5474
12×*-un-lft-identity_binary64_5534 add-cube-cbrt_binary64_5569
5×div-exp_binary64_5585 cbrt-undiv_binary64_5568
4×cbrt-unprod_binary64_5567 pow1_binary64_5595 prod-exp_binary64_5583
3×associate-*l*_binary64_5475 associate-/r*_binary64_5478
2×div-inv_binary64_5531 associate-*r/_binary64_5476 add-log-exp_binary64_5573 unswap-sqr_binary64_5502
1×associate-/l/_binary64_5481 *-commutative_binary64_5465 frac-2neg_binary64_5545 associate-/l*_binary64_5479 clear-num_binary64_5533 pow-prod-down_binary64_5605
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 a2 (/.f64 a1 b1))
6.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series53.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
19.0ms
(*.f64 a2 (/.f64 a1 b1))

simplify81.0ms (1%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04965668
14965668

prune45.0ms (0.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New57562
Fresh235
Picked011
Done011
Total591069
Error
0.0b
Counts
69 → 10
Compiler

Compiled 766 to 236 computations (69.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.9b
(/.f64 b2 (/.f64 a1 b1))
5.6b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

rewrite54.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_5540
229×*-un-lft-identity_binary64_5534 add-sqr-sqrt_binary64_5556 add-cube-cbrt_binary64_5569
57×associate-/r*_binary64_5478
22×div-inv_binary64_5531
16×add-cbrt-cube_binary64_5570 add-exp-log_binary64_5572
9×div-exp_binary64_5585 cbrt-undiv_binary64_5568
6×associate-/l*_binary64_5479 associate-/r/_binary64_5480
2×frac-2neg_binary64_5545 add-log-exp_binary64_5573 clear-num_binary64_5533 pow1_binary64_5595
Counts
2 → 266
Calls

2 calls:

12.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
6.0ms
(/.f64 b2 (/.f64 a1 b1))

series53.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
21.0ms
(/.f64 b2 (/.f64 a1 b1))

simplify130.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049896175
149896175

prune188.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2666272
Fresh347
Picked101
Done202
Total27210282
Error
0b
Counts
282 → 10
Compiler

Compiled 4837 to 848 computations (82.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)))) (/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))))
1.4b
(/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))))
1.7b
(/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))
2.5b
(/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1)))

rewrite876.0ms (10.6%)

Algorithm
1×rewrite-expression-head
Rules
5182×times-frac_binary64_5540
2568×cbrt-prod_binary64_5565
2472×add-sqr-sqrt_binary64_5556
2295×*-un-lft-identity_binary64_5534 add-cube-cbrt_binary64_5569
827×associate-*r*_binary64_5474
337×add-exp-log_binary64_5572
165×div-exp_binary64_5585 cbrt-undiv_binary64_5568
164×associate-/r*_binary64_5478
132×add-cbrt-cube_binary64_5570
109×cbrt-unprod_binary64_5567 prod-exp_binary64_5583
106×div-inv_binary64_5531
45×unswap-sqr_binary64_5502
18×associate-/r/_binary64_5480
13×associate-/l*_binary64_5479
10×associate-*l*_binary64_5475
6×pow1_binary64_5595
4×add-log-exp_binary64_5573
3×frac-2neg_binary64_5545 clear-num_binary64_5533
1×associate-*l/_binary64_5477 associate-*r/_binary64_5476 *-commutative_binary64_5465 frac-times_binary64_5544 pow-prod-down_binary64_5605
Counts
4 → 2181
Calls

4 calls:

288.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)))) (/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))))
44.0ms
(/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1)))
14.0ms
(/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))))
9.0ms
(/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))

series509.0ms (6.2%)

Counts
4 → 12
Calls

4 calls:

186.0ms
(/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1)))
129.0ms
(/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))))
110.0ms
(/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))
83.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)) (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)))) (/.f64 (cbrt.f64 a2) (/.f64 (cbrt.f64 b2) (/.f64 (cbrt.f64 a1) b1))))

simplify827.0ms (10%)

Algorithm
1×egg-herbie
Counts
2193 → 2193
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05948104130

prune2.8s (34.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New219302193
Fresh099
Picked011
Done000
Total2193102203
Error
0b
Counts
2203 → 10
Compiler

Compiled 98196 to 9149 computations (90.7% saved)

regimes571.0ms (6.9%)

Accuracy

Total 2.2b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3489 to 2568 computations (26.4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044158
144158
Compiler

Compiled 412 to 148 computations (64.1% saved)

end0.0ms (0%)

sample1.1s (13.5%)

Algorithm
1×intervals
Results
250.0ms8000×body128valid
57.0ms1836×body128invalid
Compiler

Compiled 577 to 388 computations (32.8% saved)

Profiling

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