Details

analyze879.0ms (10.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5214	91
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify343.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (337.0ms)

Iter	Nodes	Cost
0	5412	13

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

Error

2.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.9b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite142.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`add-sqr-sqrt_binary64_11353`
70×	`*-un-lft-identity_binary64_11331`
51×	`times-frac_binary64_11337`
31×	`associate-l_binary64_11272`
26×	`add-cube-cbrt_binary64_11366`
22×	`difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`
9×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
5×	`associate-/l_binary64_11276` `associate-/r_binary64_11275`
4×	`pow1_binary64_11392` `associate-/r/_binary64_11277`
3×	`flip3--_binary64_11335` `flip--_binary64_11306` `associate-r_binary64_11271`
2×	`div-exp_binary64_11382` `prod-exp_binary64_11380` `add-log-exp_binary64_11370` `cbrt-unprod_binary64_11364` `cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299` `div-inv_binary64_11328` `associate-/l/_binary64_11278`
1×	`pow-prod-down_binary64_11402` `associate-l/_binary64_11274` `-commutative_binary64_11262` `frac-2neg_binary64_11342` `div-sub_binary64_11336` `clear-num_binary64_11330`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
11.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1903 to 389 computations (79.6% saved)

series524.0ms (6.3%)

Error

0.1b

Counts

2 → 45

Calls

2 calls:

293.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
181.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1925 to 1192 computations (38.1% saved)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4992	2632
1	4992	2632

prune138.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	6	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Error

0.0b

Counts

148 → 7

Compiler

Compiled 2515 to 572 computations (77.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.9b	(*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y))))
7.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))

rewrite261.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

87×	`add-exp-log_binary64_11369`
66×	`add-sqr-sqrt_binary64_11353`
58×	`*-un-lft-identity_binary64_11331`
47×	`associate-r_binary64_11271`
46×	`prod-exp_binary64_11380`
45×	`times-frac_binary64_11337`
36×	`cbrt-prod_binary64_11362`
35×	`add-cbrt-cube_binary64_11367`
28×	`add-cube-cbrt_binary64_11366`
20×	`div-exp_binary64_11382` `cbrt-unprod_binary64_11364`
18×	`associate-l_binary64_11272` `cbrt-div_binary64_11363`
15×	`difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`
11×	`pow1_binary64_11392`
10×	`cbrt-undiv_binary64_11365` `associate-/r/_binary64_11277`
9×	`flip3--_binary64_11335` `flip--_binary64_11306`
6×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `associate-*r/_binary64_11273`
5×	`frac-times_binary64_11341`
4×	`pow-prod-down_binary64_11402` `add-log-exp_binary64_11370`
3×	`associate-*l/_binary64_11274` `unswap-sqr_binary64_11299`
2×	`div-inv_binary64_11328` `*-commutative_binary64_11262` `pow1/3_binary64_11413`

Counts

4 → 155

Calls

4 calls:

38.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))
21.0ms	(*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y))))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 5123 to 1060 computations (79.3% saved)

series1.3s (15.2%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

615.0ms	(*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y))))
337.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))
114.0ms	(cbrt.f64 (-.f64 z y))
105.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 4561 to 2941 computations (35.5% saved)

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4990	3784
1	4990	3784

prune210.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	217	8	225

Error

Counts

225 → 8

Compiler

Compiled 5501 to 1259 computations (77.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
10.0b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite112.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_11353`
38×	`*-un-lft-identity_binary64_11331`
31×	`times-frac_binary64_11337`
22×	`add-cube-cbrt_binary64_11366`
21×	`associate-r_binary64_11271`
9×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
8×	`difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`
5×	`associate-l_binary64_11272` `associate-/r*_binary64_11275`
4×	`pow1_binary64_11392` `flip3--_binary64_11335` `flip--_binary64_11306` `associate-/r/_binary64_11277`
3×	`associate-/l*_binary64_11276`
2×	`div-exp_binary64_11382` `prod-exp_binary64_11380` `add-log-exp_binary64_11370` `cbrt-unprod_binary64_11364` `cbrt-undiv_binary64_11365` `frac-times_binary64_11341` `unswap-sqr_binary64_11299` `associate-*l/_binary64_11274` `div-inv_binary64_11328`
1×	`pow-prod-down_binary64_11402` `associate-r/_binary64_11273` `-commutative_binary64_11262` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

2 → 83

Calls

2 calls:

15.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
6.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1456 to 322 computations (77.9% saved)

series415.0ms (5%)

Error

Counts

2 → 39

Calls

2 calls:

265.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
112.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1658 to 1018 computations (38.6% saved)

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5371	1952

prune98.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Error

Counts

130 → 8

Compiler

Compiled 1995 to 415 computations (79.2% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x y))
11.6b	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_11353`
14×	`*-un-lft-identity_binary64_11331`
9×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
8×	`add-cube-cbrt_binary64_11366`
6×	`cancel-sign-sub-inv_binary64_11297`
5×	`times-frac_binary64_11337` `associate-/r_binary64_11275` `associate-r*_binary64_11271`
4×	`pow1_binary64_11392` `associate-*r/_binary64_11273` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
3×	`difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283` `flip3--_binary64_11335` `flip--_binary64_11306` `associate-l_binary64_11272`
2×	`prod-exp_binary64_11380` `div-exp_binary64_11382` `add-log-exp_binary64_11370` `cbrt-undiv_binary64_11365` `cbrt-unprod_binary64_11364` `associate-/l/_binary64_11278` `associate-/r/_binary64_11277` `sub-neg_binary64_11324`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `associate-/l_binary64_11276` `pow-prod-down_binary64_11402` `unswap-sqr_binary64_11299` `-commutative_binary64_11262`

Counts

2 → 59

Calls

2 calls:

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

Compiler

Compiled 944 to 241 computations (74.5% saved)

series411.0ms (5%)

Error

Counts

2 → 39

Calls

2 calls:

294.0ms	(/.f64 (*.f64 t (-.f64 x y)) (-.f64 z y))
94.0ms	(*.f64 t (-.f64 x y))

Compiler

Compiled 1451 to 850 computations (41.4% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4986	1336
1	4986	1336

prune64.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Error

Counts

106 → 8

Compiler

Compiled 1284 to 232 computations (81.9% saved)

regimes929.0ms (11.2%)

Accuracy

Total 1.6b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7499 to 5022 computations (33% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	47
1	31	47

end0.0ms (0%)

sample1.9s (23.4%)

Algorithm

1×

intervals

Results

324.0ms	8000×	body	128	valid
22.0ms	591×	body	128	invalid

Compiler

Compiled 1232 to 828 computations (32.8% saved)

Details

analyze879.0ms (10.6%)

sample26.0ms (0.3%)

simplify343.0ms (4.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite142.0ms (1.7%)

series524.0ms (6.3%)

simplify118.0ms (1.4%)

prune138.0ms (1.7%)

localize12.0ms (0.1%)

rewrite261.0ms (3.1%)

series1.3s (15.2%)

simplify112.0ms (1.3%)

prune210.0ms (2.5%)

localize12.0ms (0.1%)

rewrite112.0ms (1.4%)

series415.0ms (5%)

simplify92.0ms (1.1%)

prune98.0ms (1.2%)

localize15.0ms (0.2%)

rewrite65.0ms (0.8%)

series411.0ms (5%)

simplify89.0ms (1.1%)

prune64.0ms (0.8%)

regimes929.0ms (11.2%)

bsearch3.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (23.4%)

Profiling