Details

analyze643.0ms (9.8%)

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify237.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	1166	13
1	1166	13

prune6.0ms (0.1%)

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: 4.9b

Counts

2 → 2

Compiler

Compiled 49 to 47 computations (4.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.1b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite71.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64_16597`
180×	`add-sqr-sqrt_binary64_16613`
171×	`*-un-lft-identity_binary64_16591`
121×	`add-cube-cbrt_binary64_16626`
67×	`associate-r_binary64_16531`
25×	`distribute-lft-out--_binary64_16543` `difference-of-squares_binary64_16560`
24×	`associate-/l*_binary64_16536`
19×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
16×	`associate-/r/_binary64_16537`
10×	`div-inv_binary64_16588`
8×	`flip--_binary64_16566` `associate-/r*_binary64_16535` `flip3--_binary64_16595`
7×	`cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
5×	`pow1_binary64_16652`
3×	`prod-exp_binary64_16640` `unswap-sqr_binary64_16559` `associate-l_binary64_16532` `cbrt-unprod_binary64_16624` `add-log-exp_binary64_16630`
2×	`frac-2neg_binary64_16602` `clear-num_binary64_16590`
1×	`associate-/l/_binary64_16538` `-commutative_binary64_16522` `pow-prod-down_binary64_16662` `associate-r/_binary64_16533`

Counts

3 → 228

Calls

3 calls:

27.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

series342.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
118.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
53.0ms	(/.f64 2 (-.f64 y t))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	4396
1	4957	4396

prune581.0ms (8.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	227	10	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	227	12	239

Merged error: 0.0b

Counts

239 → 12

Compiler

Compiled 10716 to 6856 computations (36% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
2.9b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite60.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`cbrt-prod_binary64_16622`
54×	`add-sqr-sqrt_binary64_16613`
51×	`*-un-lft-identity_binary64_16591`
47×	`times-frac_binary64_16597`
33×	`add-cube-cbrt_binary64_16626`
22×	`add-exp-log_binary64_16629`
14×	`add-cbrt-cube_binary64_16627`
9×	`distribute-lft-out--_binary64_16543` `prod-exp_binary64_16640` `cbrt-unprod_binary64_16624` `difference-of-squares_binary64_16560`
6×	`associate-/r/_binary64_16537` `pow1_binary64_16652`
5×	`associate-r_binary64_16531`
4×	`div-inv_binary64_16588` `cbrt-undiv_binary64_16625` `add-log-exp_binary64_16630` `div-exp_binary64_16642`
3×	`flip--_binary64_16566` `associate-l_binary64_16532` `pow1/3_binary64_16673` `cbrt-div_binary64_16623` `flip3--_binary64_16595`
2×	`unswap-sqr_binary64_16559`
1×	`-commutative_binary64_16522` `pow-prod-down_binary64_16662` `associate-r/_binary64_16533`

Counts

4 → 120

Calls

4 calls:

23.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
8.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

series1.3s (19.9%)

Counts

4 → 12

Calls

4 calls:

501.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
278.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
265.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
262.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4956	2993
1	4956	2993

prune233.0ms (3.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	132	12	144

Merged error: 0.0b

Counts

144 → 12

Compiler

Compiled 5222 to 2667 computations (48.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.9b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64_16629`
31×	`add-cbrt-cube_binary64_16627`
24×	`prod-exp_binary64_16640` `cbrt-unprod_binary64_16624`
18×	`cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
17×	`times-frac_binary64_16597` `associate-r_binary64_16531`
15×	`add-sqr-sqrt_binary64_16613`
12×	`cbrt-div_binary64_16623`
10×	`add-cube-cbrt_binary64_16626` `*-un-lft-identity_binary64_16591`
9×	`cbrt-prod_binary64_16622`
8×	`associate-/r/_binary64_16537`
6×	`flip--_binary64_16566` `pow1_binary64_16652` `flip3--_binary64_16595`
4×	`frac-times_binary64_16601` `add-log-exp_binary64_16630`
3×	`associate-r/_binary64_16533` `unswap-sqr_binary64_16559` `associate-l*_binary64_16532` `pow1/3_binary64_16673`
2×	`associate-*l/_binary64_16534` `div-inv_binary64_16588`
1×	`*-commutative_binary64_16522` `pow-prod-down_binary64_16662`

Counts

4 → 88

Calls

4 calls:

34.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

series502.0ms (7.6%)

Counts

4 → 6

Calls

4 calls:

501.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5006	2083

prune168.0ms (2.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

Compiler

Compiled 3939 to 1884 computations (52.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.9b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-exp-log_binary64_16629`
48×	`prod-exp_binary64_16640`
43×	`add-cbrt-cube_binary64_16627`
36×	`cbrt-unprod_binary64_16624`
34×	`div-exp_binary64_16642`
26×	`cbrt-undiv_binary64_16625`
17×	`associate-r_binary64_16531`
15×	`times-frac_binary64_16597`
14×	`add-sqr-sqrt_binary64_16613`
12×	`cbrt-div_binary64_16623`
10×	`add-cube-cbrt_binary64_16626` `*-un-lft-identity_binary64_16591`
9×	`cbrt-prod_binary64_16622`
8×	`associate-/r/_binary64_16537`
6×	`flip--_binary64_16566` `pow1_binary64_16652` `flip3--_binary64_16595`
4×	`frac-times_binary64_16601` `pow-exp_binary64_16659` `pow-to-exp_binary64_16660` `unpow1/3_binary64_16658` `add-log-exp_binary64_16630`
3×	`associate-r/_binary64_16533` `associate-l*_binary64_16532` `pow1/3_binary64_16673`
2×	`associate-*l/_binary64_16534` `div-inv_binary64_16588` `unswap-sqr_binary64_16559`
1×	`*-commutative_binary64_16522` `pow-prod-down_binary64_16662`

Counts

4 → 99

Calls

4 calls:

28.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 z)

series678.0ms (10.3%)

Counts

4 → 8

Calls

4 calls:

520.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
158.0ms	(cbrt.f64 z)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4947	2162
1	4947	2162

prune174.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	8	8
Picked	0	1	1
Done	1	1	2
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

Compiler

Compiled 4127 to 1965 computations (52.4% saved)

regimes163.0ms (2.5%)

Compiler: Compiled 1499 to 1177 computations (21.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	54
1	35	54

end0.0ms (0%)

sample844.0ms (12.8%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
28.0ms	690×	body	128	invalid

Compiler

Compiled 308 to 224 computations (27.3% saved)

Details

analyze643.0ms (9.8%)

sample24.0ms (0.4%)

simplify237.0ms (3.6%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite71.0ms (1.1%)

series342.0ms (5.2%)

simplify86.0ms (1.3%)

prune581.0ms (8.8%)

localize16.0ms (0.2%)

rewrite60.0ms (0.9%)

series1.3s (19.9%)

simplify105.0ms (1.6%)

prune233.0ms (3.5%)

localize19.0ms (0.3%)

rewrite52.0ms (0.8%)

series502.0ms (7.6%)

simplify68.0ms (1%)

prune168.0ms (2.6%)

localize21.0ms (0.3%)

rewrite52.0ms (0.8%)

series678.0ms (10.3%)

simplify106.0ms (1.6%)

prune174.0ms (2.7%)

regimes163.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample844.0ms (12.8%)

Profiling