Details

analyze2.2s (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
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
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 20 to 19 computations (5% saved)

sample76.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
10.0ms	176×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune6.0ms (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

6.0b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
1.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.1b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite565.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

21×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
18×	`times-frac_binary64_20885`
13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
9×	`pow1_binary64_20940`
6×	`add-log-exp_binary64_20918` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
4×	`associate-/l/_binary64_20826`
3×	`flip3-+_binary64_20882` `flip-+_binary64_20853` `pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-r_binary64_20819`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876`
1×	`sum-log_binary64_20970` `+-commutative_binary64_20809` `associate-l_binary64_20820` `*-commutative_binary64_20810`

Counts

4 → 87

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2498 to 1424 computations (43% saved)

series2.8s (5.7%)

Error

5.7b

Counts

4 → 102

Calls

4 calls:

1.4s	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
914.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
364.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
84.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3005 to 2752 computations (8.4% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune205.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	179	12	191

Error

5.6b

Counts

191 → 12

Compiler

Compiled 2501 to 1383 computations (44.7% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
1.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.1b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite271.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

28×	`add-sqr-sqrt_binary64_20901`
22×	`*-un-lft-identity_binary64_20879`
21×	`add-cube-cbrt_binary64_20914`
20×	`add-exp-log_binary64_20917` `times-frac_binary64_20885`
16×	`add-cbrt-cube_binary64_20915` `associate-r_binary64_20819`
11×	`pow1_binary64_20940`
7×	`prod-exp_binary64_20928`
6×	`add-log-exp_binary64_20918`
5×	`cbrt-unprod_binary64_20912`
4×	`pow-prod-down_binary64_20950` `flip3-+_binary64_20882` `flip-+_binary64_20853` `associate-l_binary64_20820`
3×	`div-exp_binary64_20930` `unswap-sqr_binary64_20847` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
2×	`cbrt-undiv_binary64_20913` `frac-times_binary64_20889` `associate-l/_binary64_20822` `div-inv_binary64_20876` `-commutative_binary64_20810` `associate-/l/_binary64_20826`
1×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `un-div-inv_binary64_20877` `associate-*r/_binary64_20821` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 98

Calls

4 calls:

19.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2929 to 1771 computations (39.5% saved)

series2.8s (5.6%)

Error

5.6b

Counts

4 → 102

Calls

4 calls:

1.4s	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
915.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
347.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
82.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3289 to 2999 computations (8.8% saved)

simplify107.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune236.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	200	12	212

Error

5.6b

Counts

212 → 12

Compiler

Compiled 2823 to 1612 computations (42.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4))
0.6b	(/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y)))))
1.3b	(/.f64 z (+.f64 b (.f64 9 (.f64 x y))))
10.1b	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4)) c)

rewrite463.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

99×	`times-frac_binary64_20885`
64×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
21×	`associate-/r*_binary64_20823`
19×	`add-exp-log_binary64_20917`
13×	`add-cbrt-cube_binary64_20915`
11×	`associate-/r/_binary64_20825`
9×	`div-exp_binary64_20930` `associate-/l*_binary64_20824`
7×	`div-inv_binary64_20876` `flip3-+_binary64_20882` `flip-+_binary64_20853`
6×	`add-log-exp_binary64_20918`
5×	`pow1_binary64_20940` `cbrt-undiv_binary64_20913`
3×	`frac-2neg_binary64_20890` `clear-num_binary64_20878`
2×	`associate-/l/_binary64_20826` `1-exp_binary64_20923` `rec-exp_binary64_20929`
1×	`inv-pow_binary64_20964` `pow-flip_binary64_20953` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 153

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4)) c)
18.0ms	(+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y)))))
5.0ms	(/.f64 z (+.f64 b (.f64 9 (.f64 x y))))

Compiler

Compiled 5106 to 2875 computations (43.7% saved)

series3.0s (6.1%)

Error

5.6b

Counts

4 → 121

Calls

4 calls:

1.4s	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4)) c)
883.0ms	(+.f64 (/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y))))) (.f64 (.f64 t a) -4))
348.0ms	(/.f64 1 (/.f64 z (+.f64 b (.f64 9 (.f64 x y)))))
334.0ms	(/.f64 z (+.f64 b (.f64 9 (.f64 x y))))

Compiler

Compiled 4080 to 3654 computations (10.4% saved)

simplify106.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5015	6657

prune345.0ms (0.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	270	4	274
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	274	12	286

Error

5.6b

Counts

286 → 12

Compiler

Compiled 4186 to 2266 computations (45.9% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 c)
1.2b	(/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z)
4.8b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
5.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))

rewrite445.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

64×	`add-sqr-sqrt_binary64_20901`
60×	`times-frac_binary64_20885`
53×	`add-exp-log_binary64_20917`
46×	`*-un-lft-identity_binary64_20879`
43×	`add-cube-cbrt_binary64_20914`
27×	`cbrt-prod_binary64_20910`
22×	`associate-r_binary64_20819`
21×	`add-cbrt-cube_binary64_20915`
20×	`prod-exp_binary64_20928`
17×	`div-exp_binary64_20930`
9×	`cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `associate-/r*_binary64_20823`
8×	`cbrt-unprod_binary64_20912`
7×	`associate-l_binary64_20820`
6×	`pow1_binary64_20940` `associate-/l*_binary64_20824`
4×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `add-log-exp_binary64_20918` `div-inv_binary64_20876` `associate-/l/_binary64_20826`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `flip3-+_binary64_20882` `flip-+_binary64_20853`
1×	`pow-prod-down_binary64_20950` `frac-times_binary64_20889` `associate-l/_binary64_20822` `associate-r/_binary64_20821` `*-commutative_binary64_20810` `pow1/3_binary64_20961`

Counts

4 → 151

Calls

4 calls:

29.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
8.0ms	(/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 6167 to 2855 computations (53.7% saved)

series4.7s (9.5%)

Error

5.6b

Counts

4 → 102

Calls

4 calls:

2.7s	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
1.5s	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
363.0ms	(/.f64 (+.f64 (.f64 9 (.f64 x y)) b) z)
124.0ms	(cbrt.f64 c)

Compiler

Compiled 4919 to 4083 computations (17% saved)

simplify116.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4962	7219
1	4962	7219

prune342.0ms (0.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	248	5	253
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	249	16	265

Error

5.6b

Counts

265 → 16

Compiler

Compiled 5019 to 2401 computations (52.2% saved)

regimes27.8s (56.1%)

Accuracy

Total 2.2b remaining (28%)

Threshold costs 0b (0%)

Compiler

Compiled 219780 to 189008 computations (14% saved)

bsearch117.0ms (0.2%)

Steps

Iters	Range		Point
2	1.3983856124003918e-09	2.9613135667499644e-05	2.538530585970842e-06
9	-5.667001794461917e-13	-3.558767398467995e-18	-6.92097034301726e-17

Compiler

Compiled 1 to 7 computations (-600% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	95
1	117	95

end42.0ms (0.1%)

Compiler: Compiled 320 to 230 computations (28.1% saved)

sample2.5s (5.1%)

Algorithm

1×

intervals

Results

510.0ms	8000×	body	128	valid
292.0ms	4828×	body	128	invalid

Compiler

Compiled 626 to 523 computations (16.5% saved)

Details

analyze2.2s (4.4%)

sample76.0ms (0.2%)

simplify63.0ms (0.1%)

prune6.0ms (0%)

localize13.0ms (0%)

rewrite565.0ms (1.1%)

series2.8s (5.7%)

simplify100.0ms (0.2%)

prune205.0ms (0.4%)

localize14.0ms (0%)

rewrite271.0ms (0.5%)

series2.8s (5.6%)

simplify107.0ms (0.2%)

prune236.0ms (0.5%)

localize15.0ms (0%)

rewrite463.0ms (0.9%)

series3.0s (6.1%)

simplify106.0ms (0.2%)

prune345.0ms (0.7%)

localize19.0ms (0%)

rewrite445.0ms (0.9%)

series4.7s (9.5%)

simplify116.0ms (0.2%)

prune342.0ms (0.7%)

regimes27.8s (56.1%)

bsearch117.0ms (0.2%)

simplify4.0ms (0%)

end42.0ms (0.1%)

sample2.5s (5.1%)

Profiling