Details

analyze2.5s (16.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample66.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	123×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(/.f64 (*.f64 a b) 4)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite131.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_6596`
17×	`*-un-lft-identity_binary64_6557`
14×	`cancel-sign-sub-inv_binary64_6523`
12×	`add-sqr-sqrt_binary64_6579`
10×	`add-cube-cbrt_binary64_6592`
9×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `times-frac_binary64_6563` `associate-+l+_binary64_6490`
6×	`sum-log_binary64_6648`
4×	`diff-log_binary64_6649` `pow1_binary64_6618`
3×	`flip3-+_binary64_6560` `flip-+_binary64_6531` `div-inv_binary64_6554` `associate-/r*_binary64_6501`
2×	`frac-sub_binary64_6566` `sub-neg_binary64_6550` `distribute-lft-out--_binary64_6509` `associate--l+_binary64_6494` `+-commutative_binary64_6487` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `distribute-lft-out_binary64_6508`
1×	`flip3--_binary64_6561` `flip--_binary64_6532` `difference-of-squares_binary64_6526` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `associate-/l*_binary64_6502` `associate-+l-_binary64_6492`

Counts

4 → 81

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
4.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 2222 to 1067 computations (52% saved)

series1.2s (8.3%)

Error

0.0b

Counts

4 → 108

Calls

4 calls:

507.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
429.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
182.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
51.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 3765 to 3107 computations (17.5% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5014	3291

prune168.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	2	190

Error

0.0b

Counts

190 → 2

Compiler

Compiled 3384 to 1497 computations (55.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

rewrite217.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
18×	`cbrt-div_binary64_6589`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639` `flip3-+_binary64_6560` `flip-+_binary64_6531`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `frac-times_binary64_6567` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530` `associate-l/_binary64_6500` `associate-r/_binary64_6499`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 4820 to 2269 computations (52.9% saved)

series1.6s (11%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

392.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))
359.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
351.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
349.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 13496 to 9632 computations (28.6% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5596	5423

prune383.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	3	185

Error

0.0b

Counts

185 → 3

Compiler

Compiled 8732 to 4166 computations (52.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 6)

rewrite199.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_6588`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`unpow-prod-down_binary64_6636`
6×	`cbrt-div_binary64_6589`
5×	`pow1_binary64_6618` `add-exp-log_binary64_6595`
4×	`pow1/3_binary64_6639` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
3×	`pow-unpow_binary64_6634` `flip3-+_binary64_6560` `flip-+_binary64_6531`
2×	`pow-pow_binary64_6629`
1×	`pow-to-exp_binary64_6626` `pow-exp_binary64_6625` `sqr-pow_binary64_6529`

Counts

4 → 63

Calls

4 calls:

8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 6)
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 4295 to 2212 computations (48.5% saved)

series2.5s (16.6%)

Error

0.0b

Counts

4 → 89

Calls

4 calls:

1.2s	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) 6)
379.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
369.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
260.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 16475 to 11202 computations (32% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5643	4007

prune416.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Error

Counts

155 → 4

Compiler

Compiled 9671 to 4965 computations (48.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
2.5b	(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))))

rewrite194.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`cbrt-prod_binary64_6588`
12×	`log-prod_binary64_6643` `exp-sum_binary64_6603`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
6×	`add-log-exp_binary64_6596` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `cbrt-div_binary64_6589`
4×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`pow1/3_binary64_6639` `flip3-+_binary64_6560` `flip-+_binary64_6531`
1×	`exp-to-pow_binary64_6619` `exp-prod_binary64_6609` `rem-exp-log_binary64_6597`

Counts

4 → 61

Calls

4 calls:

8.0ms	(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 4272 to 2233 computations (47.7% saved)

series1.7s (11.2%)

Error

Counts

4 → 76

Calls

4 calls:

708.0ms	(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16))))))
268.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
261.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))
249.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))

Compiler

Compiled 14186 to 9678 computations (31.8% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5196	3274

prune368.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 8574 to 4385 computations (48.9% saved)

regimes889.0ms (5.9%)

Accuracy

Total 0.0b remaining (8.2%)

Threshold costs 0.0b (8.2%)

Compiler

Compiled 12359 to 9936 computations (19.6% saved)

bsearch0.0ms (0%)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

sample2.0s (13.1%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
196.0ms	4046×	body	128	invalid

Compiler

Compiled 850 to 686 computations (19.3% saved)

Details

analyze2.5s (16.4%)

sample66.0ms (0.4%)

simplify72.0ms (0.5%)

prune4.0ms (0%)

localize23.0ms (0.1%)

rewrite131.0ms (0.9%)

series1.2s (8.3%)

simplify76.0ms (0.5%)

prune168.0ms (1.1%)

localize18.0ms (0.1%)

rewrite217.0ms (1.4%)

series1.6s (11%)

simplify79.0ms (0.5%)

prune383.0ms (2.6%)

localize23.0ms (0.2%)

rewrite199.0ms (1.3%)

series2.5s (16.6%)

simplify66.0ms (0.4%)

prune416.0ms (2.8%)

localize25.0ms (0.2%)

rewrite194.0ms (1.3%)

series1.7s (11.2%)

simplify58.0ms (0.4%)

prune368.0ms (2.5%)

regimes889.0ms (5.9%)

bsearch0.0ms (0%)

simplify52.0ms (0.3%)

end0.0ms (0%)

sample2.0s (13.1%)

Profiling