Details

analyze504.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	44×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify145.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
3.2b	(*.f64 (/.f64 x y) z)

rewrite109.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_419`
25×	`add-sqr-sqrt_binary64_441`
22×	`times-frac_binary64_425`
20×	`add-cube-cbrt_binary64_454`
13×	`associate-l_binary64_360`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480` `add-log-exp_binary64_458`
4×	`distribute-lft-out_binary64_370` `associate-/l*_binary64_364`
3×	`associate-l/_binary64_362` `associate-r_binary64_359` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393` `diff-log_binary64_511` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

3 → 79

Calls

3 calls:

10.0ms	(/.f64 (+.f64 x 4) y)
9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series405.0ms (7%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

225.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
96.0ms	(*.f64 (/.f64 x y) z)
60.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5171	1334

prune122.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 1860 to 901 computations (51.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (/.f64 x y))
0.0b	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
3.2b	(*.f64 (/.f64 x y) z)

rewrite105.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_419`
18×	`add-sqr-sqrt_binary64_441`
16×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
10×	`add-log-exp_binary64_458`
8×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
4×	`associate-*l/_binary64_362` `distribute-lft-out_binary64_370`
3×	`div-inv_binary64_416` `associate-r_binary64_359` `frac-sub_binary64_428`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `sum-log_binary64_510` `diff-log_binary64_511` `frac-add_binary64_427` `flip3-+_binary64_422` `flip-+_binary64_393`
1×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `*-commutative_binary64_350` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `associate--l+_binary64_356` `distribute-rgt-out_binary64_372` `+-commutative_binary64_349`

Counts

3 → 66

Calls

3 calls:

17.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
13.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
7.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1522 to 642 computations (57.8% saved)

series420.0ms (7.2%)

Error

Counts

3 → 33

Calls

3 calls:

221.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
98.0ms	(*.f64 (/.f64 x y) z)
80.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))

Compiler

Compiled 1178 to 800 computations (32.1% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4960	1297
1	4960	1297

prune81.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Error

Counts

105 → 6

Compiler

Compiled 1786 to 797 computations (55.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x 4))
0.0b	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.1b	(/.f64 1 (/.f64 y (+.f64 x 4)))
3.2b	(*.f64 (/.f64 x y) z)

rewrite259.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

124×	`times-frac_binary64_425`
104×	`*-un-lft-identity_binary64_419`
77×	`add-sqr-sqrt_binary64_441`
72×	`add-cube-cbrt_binary64_454`
22×	`add-exp-log_binary64_457` `associate-/r*_binary64_363`
16×	`add-cbrt-cube_binary64_455` `distribute-lft-out_binary64_370`
13×	`associate-l_binary64_360`
11×	`associate-/r/_binary64_365`
9×	`div-exp_binary64_470`
7×	`pow1_binary64_480` `div-inv_binary64_416`
6×	`add-log-exp_binary64_458` `associate-/l*_binary64_364`
5×	`cbrt-undiv_binary64_453` `flip3-+_binary64_422` `flip-+_binary64_393`
3×	`associate-r_binary64_359`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `associate-*l/_binary64_362` `1-exp_binary64_463` `rec-exp_binary64_469` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `inv-pow_binary64_504` `pow-flip_binary64_493` `diff-log_binary64_511` `frac-sub_binary64_428` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 174

Calls

4 calls:

21.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
11.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 y (+.f64 x 4))

Compiler

Compiled 4080 to 2359 computations (42.2% saved)

series464.0ms (8%)

Error

Counts

4 → 40

Calls

4 calls:

224.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
98.0ms	(*.f64 (/.f64 x y) z)
64.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
51.0ms	(/.f64 y (+.f64 x 4))

Compiler

Compiled 1478 to 1053 computations (28.8% saved)

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4950	3036
1	4950	3036

prune203.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	214	6	220

Error

Counts

220 → 6

Compiler

Compiled 4081 to 2183 computations (46.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.2b	(*.f64 z (/.f64 (cbrt.f64 x) y))
4.1b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite158.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-exp-log_binary64_457`
35×	`add-cbrt-cube_binary64_455`
33×	`prod-exp_binary64_468`
30×	`add-sqr-sqrt_binary64_441`
23×	`times-frac_binary64_425` `associate-r_binary64_359`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`cbrt-unprod_binary64_452`
18×	`div-exp_binary64_470`
16×	`cbrt-prod_binary64_450`
11×	`pow1_binary64_480`
10×	`cbrt-undiv_binary64_453` `associate-l_binary64_360`
6×	`1-exp_binary64_463`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `associate-*r/_binary64_361`
3×	`unswap-sqr_binary64_387`
2×	`div-inv_binary64_416` `*-commutative_binary64_350` `pow1/3_binary64_501`
1×	`frac-times_binary64_429` `associate-*l/_binary64_362`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
9.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3137 to 1250 computations (60.2% saved)

series595.0ms (10.3%)

Error

Counts

4 → 24

Calls

4 calls:

300.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
125.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
78.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 1380 to 982 computations (28.8% saved)

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4944	1267
1	4944	1267

prune120.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	133	6	139

Error

Counts

139 → 6

Compiler

Compiled 2866 to 1231 computations (57% saved)

regimes354.0ms (6.1%)

Accuracy

Total 0.7b remaining (99%)

Threshold costs 0.7b (99%)

Compiler

Compiled 3412 to 2656 computations (22.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms (0%)

sample1.3s (23%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
42.0ms	1146×	body	128	invalid

Compiler

Compiled 711 to 550 computations (22.6% saved)

Details

analyze504.0ms (8.7%)

sample23.0ms (0.4%)

simplify145.0ms (2.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite109.0ms (1.9%)

series405.0ms (7%)

simplify89.0ms (1.5%)

prune122.0ms (2.1%)

localize9.0ms (0.1%)

rewrite105.0ms (1.8%)

series420.0ms (7.2%)

simplify66.0ms (1.1%)

prune81.0ms (1.4%)

localize10.0ms (0.2%)

rewrite259.0ms (4.5%)

series464.0ms (8%)

simplify94.0ms (1.6%)

prune203.0ms (3.5%)

localize17.0ms (0.3%)

rewrite158.0ms (2.7%)

series595.0ms (10.3%)

simplify97.0ms (1.7%)

prune120.0ms (2.1%)

regimes354.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (23%)

Profiling