Details

analyze1.3s (11.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	106×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune7.0ms (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

4.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0b	(-.f64 (*.f64 z z) t)
4.5b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite118.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

16×	`cancel-sign-sub-inv_binary64_15048`
11×	`add-sqr-sqrt_binary64_15104`
9×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
8×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate--r+_binary64_15018`
7×	`add-log-exp_binary64_15121`
6×	`sub-neg_binary64_15075`
4×	`associate-r_binary64_15022`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `flip3--_binary64_15086` `flip--_binary64_15057`
2×	`associate-*r/_binary64_15024` `difference-of-squares_binary64_15051` `diff-log_binary64_15174`
1×	`associate-l_binary64_15023` `*-commutative_binary64_15013`

Counts

3 → 64

Calls

3 calls:

10.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
8.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1409 to 532 computations (62.2% saved)

series824.0ms (7.3%)

Error

4.4b

Counts

3 → 51

Calls

3 calls:

445.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
255.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
85.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1707 to 1400 computations (18% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune108.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	7	116

Error

2.2b

Counts

116 → 7

Compiler

Compiled 1891 to 718 computations (62% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 z z))
0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
0.0b	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
7.0b	(.f64 y (.f64 4 (*.f64 z z)))

rewrite153.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

18×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
11×	`add-log-exp_binary64_15121`
9×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `add-sqr-sqrt_binary64_15104`
7×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
6×	`associate-l_binary64_15023`
3×	`cancel-sign-sub-inv_binary64_15048`
2×	`associate-r_binary64_15022` `*-commutative_binary64_15013` `sum-log_binary64_15173` `diff-log_binary64_15174`
1×	`flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012` `flip3--_binary64_15086` `sub-neg_binary64_15075` `flip--_binary64_15057` `difference-of-squares_binary64_15051` `associate--r+_binary64_15018` `unswap-sqr_binary64_15050`

Counts

4 → 68

Calls

4 calls:

18.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
16.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
15.0ms	(.f64 y (.f64 4 (*.f64 z z)))
11.0ms	(.f64 4 (.f64 z z))

Compiler

Compiled 1825 to 865 computations (52.6% saved)

series818.0ms (7.2%)

Error

2.2b

Counts

4 → 48

Calls

4 calls:

414.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
250.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
89.0ms	(.f64 y (.f64 4 (*.f64 z z)))
24.0ms	(.f64 4 (.f64 z z))

Compiler

Compiled 1818 to 1482 computations (18.5% saved)

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4924	1640
1	4924	1640

prune109.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Error

2.2b

Counts

123 → 7

Compiler

Compiled 2073 to 852 computations (58.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
2.9b	(-.f64 (pow.f64 z 4) (*.f64 t t))
6.9b	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
18.7b	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))

rewrite193.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

18×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
14×	`add-sqr-sqrt_binary64_15104`
12×	`cancel-sign-sub-inv_binary64_15048`
9×	`pow1_binary64_15143` `add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
8×	`add-log-exp_binary64_15121`
7×	`difference-of-squares_binary64_15051`
6×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `times-frac_binary64_15088` `associate-r_binary64_15022`
4×	`flip3--_binary64_15086` `associate-*r/_binary64_15024` `flip--_binary64_15057` `associate-/r/_binary64_15028` `sub-neg_binary64_15075`
3×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-/r*_binary64_15026` `pow-prod-down_binary64_15153`
2×	`div-inv_binary64_15079` `associate-/l/_binary64_15029` `flip3-+_binary64_15085` `flip-+_binary64_15056` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `unpow-prod-down_binary64_15161` `sqr-pow_binary64_15054` `diff-log_binary64_15174`
1×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l_binary64_15027` `associate-l_binary64_15023` `-commutative_binary64_15013`

Counts

4 → 90

Calls

4 calls:

18.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
15.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))
10.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
8.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))

Compiler

Compiled 3017 to 1306 computations (56.7% saved)

series1.9s (17.1%)

Error

2.2b

Counts

4 → 66

Calls

4 calls:

948.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
387.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
378.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))
156.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))

Compiler

Compiled 3186 to 2393 computations (24.9% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4982	2938
1	4982	2938

prune164.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	156	7	163

Error

2.2b

Counts

163 → 7

Compiler

Compiled 3451 to 1427 computations (58.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3))
0.3b	(pow.f64 (.f64 y (-.f64 (.f64 z z) t)) 3)
4.5b	(.f64 y (-.f64 (.f64 z z) t))
33.5b	(cbrt.f64 (.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3)))

rewrite155.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

17×	`add-exp-log_binary64_15120` `add-sqr-sqrt_binary64_15104`
12×	`associate-r/_binary64_15024` `associate-r*_binary64_15022`
11×	`add-cbrt-cube_binary64_15118` `add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
9×	`pow1_binary64_15143`
7×	`prod-exp_binary64_15131`
6×	`cube-div_binary64_15111` `cancel-sign-sub-inv_binary64_15048` `associate-l_binary64_15023`
4×	`add-log-exp_binary64_15121` `flip3--_binary64_15086` `flip--_binary64_15057` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `pow-exp_binary64_15150`
3×	`cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `pow-unpow_binary64_15159` `sqr-pow_binary64_15054`
2×	`cbrt-div_binary64_15114` `pow-prod-down_binary64_15153` `sub-neg_binary64_15075` `*-commutative_binary64_15013` `unpow-prod-down_binary64_15161` `pow-pow_binary64_15154` `pow-to-exp_binary64_15151` `unpow3_binary64_15148` `cube-mult_binary64_15112` `cube-prod_binary64_15110` `rem-cube-cbrt_binary64_15105`
1×	`pow1/3_binary64_15164` `cbrt-prod_binary64_15113` `difference-of-squares_binary64_15051`

Counts

4 → 92

Calls

4 calls:

8.0ms	(.f64 y (-.f64 (.f64 z z) t))
7.0ms	(pow.f64 (.f64 y (-.f64 (.f64 z z) t)) 3)
7.0ms	(.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3))
4.0ms	(cbrt.f64 (.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3)))

Compiler

Compiled 2287 to 920 computations (59.8% saved)

series1.3s (11.1%)

Error

2.2b

Counts

4 → 84

Calls

4 calls:

392.0ms	(.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3))
319.0ms	(pow.f64 (.f64 y (-.f64 (.f64 z z) t)) 3)
259.0ms	(cbrt.f64 (.f64 64 (pow.f64 (.f64 y (-.f64 (*.f64 z z) t)) 3)))
157.0ms	(.f64 y (-.f64 (.f64 z z) t))

Compiler

Compiled 4719 to 3780 computations (19.9% saved)

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5110	3415

prune214.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	176	7	183

Error

2.2b

Counts

183 → 7

Compiler

Compiled 3886 to 1845 computations (52.5% saved)

regimes1.2s (10.5%)

Accuracy

Total 1.2b remaining (38.3%)

Threshold costs 0b (0%)

Compiler

Compiled 9626 to 7495 computations (22.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	422	60
1	422	60

end0.0ms (0%)

sample2.2s (19.1%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
136.0ms	2961×	body	128	invalid

Compiler

Compiled 876 to 685 computations (21.8% saved)

Details

analyze1.3s (11.2%)

sample30.0ms (0.3%)

simplify64.0ms (0.6%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite118.0ms (1%)

series824.0ms (7.3%)

simplify103.0ms (0.9%)

prune108.0ms (1%)

localize13.0ms (0.1%)

rewrite153.0ms (1.3%)

series818.0ms (7.2%)

simplify117.0ms (1%)

prune109.0ms (1%)

localize13.0ms (0.1%)

rewrite193.0ms (1.7%)

series1.9s (17.1%)

simplify131.0ms (1.2%)

prune164.0ms (1.4%)

localize12.0ms (0.1%)

rewrite155.0ms (1.4%)

series1.3s (11.1%)

simplify133.0ms (1.2%)

prune214.0ms (1.9%)

regimes1.2s (10.5%)

bsearch2.0ms (0%)

simplify24.0ms (0.2%)

end0.0ms (0%)

sample2.2s (19.1%)

Profiling