Details

analyze940.0ms (12.4%)

Algorithm

1×

Search

True	Other	False	Iter
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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify224.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

prune2.0ms (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

Merged error: 1.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_18173`
71×	`*-un-lft-identity_binary64_18151`
51×	`times-frac_binary64_18157`
31×	`associate-r_binary64_18091`
27×	`add-cube-cbrt_binary64_18186`
22×	`distribute-lft-out--_binary64_18103` `difference-of-squares_binary64_18120`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
5×	`pow1_binary64_18212` `associate-/l_binary64_18096` `add-log-exp_binary64_18190` `associate-/r_binary64_18095`
4×	`associate-/r/_binary64_18097`
3×	`flip3--_binary64_18155` `flip--_binary64_18126` `associate-l_binary64_18092`
2×	`div-exp_binary64_18202` `div-inv_binary64_18148` `associate-/l/_binary64_18098` `unswap-sqr_binary64_18119` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `clear-num_binary64_18150` `sum-log_binary64_18242` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `flip3-+_binary64_18154`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series779.0ms (10.3%)

Counts

3 → 74

Calls

3 calls:

422.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
229.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
128.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 2065 to 1609 computations (22.1% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5105	3494

prune152.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	179	8	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	8	188

Merged error: 0.0b

Counts

188 → 8

Compiler

Compiled 3444 to 751 computations (78.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.1b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite111.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_18157`
336×	`add-sqr-sqrt_binary64_18173`
324×	`*-un-lft-identity_binary64_18151`
158×	`add-cube-cbrt_binary64_18186`
98×	`associate-r_binary64_18091`
82×	`distribute-lft-out--_binary64_18103` `difference-of-squares_binary64_18120`
36×	`add-exp-log_binary64_18189` `associate-/r*_binary64_18095`
20×	`add-cbrt-cube_binary64_18187`
18×	`associate-/r/_binary64_18097`
15×	`div-exp_binary64_18202`
10×	`div-inv_binary64_18148`
9×	`flip3--_binary64_18155` `flip--_binary64_18126`
8×	`associate-/l*_binary64_18096`
7×	`pow1_binary64_18212` `prod-exp_binary64_18200` `cbrt-undiv_binary64_18185`
6×	`add-log-exp_binary64_18190`
5×	`unswap-sqr_binary64_18119`
4×	`1-exp_binary64_18195` `rec-exp_binary64_18201`
3×	`associate-l_binary64_18092` `cbrt-unprod_binary64_18184`
2×	`associate-/l/_binary64_18098` `clear-num_binary64_18150` `frac-2neg_binary64_18162`
1×	`inv-pow_binary64_18236` `associate-r/_binary64_18093` `pow-flip_binary64_18225` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `un-div-inv_binary64_18149` `+-commutative_binary64_18081` `sum-log_binary64_18242` `div-sub_binary64_18156` `flip3-+_binary64_18154`

Counts

4 → 338

Calls

4 calls:

35.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
16.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))

series904.0ms (11.9%)

Counts

4 → 92

Calls

4 calls:

411.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
232.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
135.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
127.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 2660 to 2107 computations (20.8% saved)

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

430 → 430

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4987	8805
1	4987	8805

prune388.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	428	2	430
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	433	5	438

Merged error: 0.0b

Counts

438 → 5

Compiler

Compiled 9109 to 2521 computations (72.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
8.5b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_18173`
43×	`*-un-lft-identity_binary64_18151`
31×	`times-frac_binary64_18157`
27×	`add-cube-cbrt_binary64_18186`
21×	`associate-l_binary64_18092`
12×	`cancel-sign-sub-inv_binary64_18117`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
8×	`distribute-rgt-in_binary64_18101` `distribute-lft-out--_binary64_18103` `difference-of-squares_binary64_18120` `distribute-lft-in_binary64_18100` `associate-+r+_binary64_18083`
5×	`pow1_binary64_18212` `associate-r_binary64_18091` `add-log-exp_binary64_18190` `associate-/r*_binary64_18095`
4×	`flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `associate-/r/_binary64_18097`
3×	`associate-/l*_binary64_18096`
2×	`div-exp_binary64_18202` `div-inv_binary64_18148` `associate-*r/_binary64_18093` `unswap-sqr_binary64_18119` `frac-times_binary64_18161` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`associate-l/_binary64_18094` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `clear-num_binary64_18150` `sum-log_binary64_18242` `frac-2neg_binary64_18162` `flip3-+_binary64_18154`

Counts

3 → 110

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 z a))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

series742.0ms (9.8%)

Counts

3 → 73

Calls

3 calls:

399.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
235.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
108.0ms	(/.f64 y (-.f64 z a))

Compiler

Compiled 2013 to 1573 computations (21.9% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4971	3214
1	4971	3214

prune124.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	182	6	188

Merged error: 0b

Counts

188 → 6

Compiler

Compiled 3212 to 698 computations (78.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
10.8b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
9×	`add-cube-cbrt_binary64_18186`
6×	`cancel-sign-sub-inv_binary64_18117`
5×	`pow1_binary64_18212` `associate-r_binary64_18091` `times-frac_binary64_18157` `add-log-exp_binary64_18190` `associate-/r*_binary64_18095`
4×	`associate-*r/_binary64_18093` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
3×	`flip3--_binary64_18155` `distribute-lft-out--_binary64_18103` `flip--_binary64_18126` `difference-of-squares_binary64_18120` `associate-l_binary64_18092`
2×	`div-exp_binary64_18202` `associate-/l/_binary64_18098` `sub-neg_binary64_18144` `associate-/r/_binary64_18097` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`div-inv_binary64_18148` `distribute-lft-out_binary64_18102` `associate-/l_binary64_18096` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `flip-+_binary64_18125` `+-commutative_binary64_18081` `clear-num_binary64_18150` `sum-log_binary64_18242` `frac-2neg_binary64_18162` `flip3-+_binary64_18154`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
10.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series760.0ms (10%)

Counts

3 → 70

Calls

3 calls:

430.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
239.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
91.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1824 to 1432 computations (21.5% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5294	2171

prune83.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	141	6	147

Merged error: 0b

Counts

147 → 6

Compiler

Compiled 2093 to 429 computations (79.5% saved)

regimes588.0ms (7.8%)

Compiler: Compiled 5836 to 4539 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	52
1	38	52

end0.0ms (0%)

sample1.3s (16.5%)

Algorithm

1×

intervals

Results

326.0ms	7997×	body	128	valid
27.0ms	723×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 737 to 568 computations (22.9% saved)

Details

analyze940.0ms (12.4%)

sample22.0ms (0.3%)

simplify224.0ms (3%)

prune2.0ms (0%)

localize14.0ms (0.2%)

rewrite39.0ms (0.5%)

series779.0ms (10.3%)

simplify80.0ms (1.1%)

prune152.0ms (2%)

localize9.0ms (0.1%)

rewrite111.0ms (1.5%)

series904.0ms (11.9%)

simplify119.0ms (1.6%)

prune388.0ms (5.1%)

localize8.0ms (0.1%)

rewrite34.0ms (0.4%)

series742.0ms (9.8%)

simplify78.0ms (1%)

prune124.0ms (1.6%)

localize8.0ms (0.1%)

rewrite33.0ms (0.4%)

series760.0ms (10%)

simplify75.0ms (1%)

prune83.0ms (1.1%)

regimes588.0ms (7.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (16.5%)

Profiling