Details

analyze511.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	28×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	537	13
1	537	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

4.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
0.0b	(*.f64 (-.f64 1 y) z)
3.8b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite81.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

14×	`add-sqr-sqrt_binary64_20560`
10×	`*-un-lft-identity_binary64_20538`
9×	`associate-l_binary64_20479`
7×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574` `add-cube-cbrt_binary64_20573`
6×	`associate-r_binary64_20478`
5×	`add-log-exp_binary64_20577`
3×	`sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504` `flip3--_binary64_20542` `flip--_binary64_20513`
2×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487` `associate-r/_binary64_20480` `-commutative_binary64_20469` `associate-*l/_binary64_20481` `difference-of-squares_binary64_20507`
1×	`distribute-lft-out--_binary64_20490` `diff-log_binary64_20630`

Counts

3 → 59

Calls

3 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Compiler

Compiled 982 to 698 computations (28.9% saved)

series262.0ms (4.2%)

Error

3.9b

Counts

3 → 36

Calls

3 calls:

122.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
67.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
54.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 781 to 551 computations (29.4% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5021	1081

prune78.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Error

3.9b

Counts

96 → 7

Compiler

Compiled 1230 to 631 computations (48.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 z y) 1)
0.0b	(-.f64 (+.f64 (*.f64 z y) 1) z)
3.8b	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

14×	`add-sqr-sqrt_binary64_20560`
12×	`*-un-lft-identity_binary64_20538`
10×	`add-log-exp_binary64_20577`
9×	`cancel-sign-sub-inv_binary64_20504`
8×	`add-cube-cbrt_binary64_20573`
5×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574` `distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487` `associate-r_binary64_20478`
3×	`sub-neg_binary64_20531` `associate--l+_binary64_20475` `associate-l_binary64_20479`
2×	`flip3--_binary64_20542` `associate-*r/_binary64_20480` `flip--_binary64_20513` `difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490` `sum-log_binary64_20629` `diff-log_binary64_20630`
1×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `*-commutative_binary64_20469` `flip3-+_binary64_20541` `flip-+_binary64_20512` `+-commutative_binary64_20468`

Counts

3 → 61

Calls

3 calls:

10.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
7.0ms	(-.f64 (+.f64 (*.f64 z y) 1) z)
7.0ms	(+.f64 (*.f64 z y) 1)

Compiler

Compiled 1026 to 513 computations (50% saved)

series268.0ms (4.3%)

Error

3.9b

Counts

3 → 39

Calls

3 calls:

134.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
67.0ms	(-.f64 (+.f64 (*.f64 z y) 1) z)
47.0ms	(+.f64 (*.f64 z y) 1)

Compiler

Compiled 811 to 548 computations (32.4% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	1193
1	4977	1193

prune67.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Error

3.9b

Counts

107 → 7

Compiler

Compiled 1270 to 570 computations (55.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
2.0b	(.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x))
2.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x)))

rewrite105.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

18×	`pow1_binary64_20599` `add-exp-log_binary64_20576`
15×	`add-sqr-sqrt_binary64_20560`
11×	`add-cbrt-cube_binary64_20574` `*-un-lft-identity_binary64_20538`
10×	`cbrt-prod_binary64_20569`
9×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `add-cube-cbrt_binary64_20573` `cbrt-unprod_binary64_20571`
7×	`associate-r_binary64_20478`
6×	`associate-l_binary64_20479`
4×	`add-log-exp_binary64_20577` `associate-*l/_binary64_20481`
2×	`flip3--_binary64_20542` `associate-r/_binary64_20480` `flip--_binary64_20513` `-commutative_binary64_20469` `unswap-sqr_binary64_20506` `pow1/3_binary64_20620`
1×	`difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490`

Counts

4 → 72

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x)))
15.0ms	(.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1750 to 665 computations (62% saved)

series669.0ms (10.7%)

Error

3.9b

Counts

4 → 36

Calls

4 calls:

343.0ms	(.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x))
152.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (+.f64 (.f64 z y) 1) z) (cbrt.f64 x)))
76.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)

Compiler

Compiled 1442 to 948 computations (34.3% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5066	1385

prune88.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	105	10	115

Error

2.0b

Counts

115 → 10

Compiler

Compiled 1974 to 830 computations (58% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))))
4.1b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
4.1b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
4.1b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite304.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

60×	`cbrt-div_binary64_20570`
52×	`associate-*r/_binary64_20480`
45×	`pow1_binary64_20599` `add-exp-log_binary64_20576`
36×	`pow-prod-down_binary64_20609`
31×	`prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
30×	`flip3--_binary64_20542` `flip--_binary64_20513`
28×	`frac-times_binary64_20548`
19×	`add-cbrt-cube_binary64_20574`
15×	`cbrt-prod_binary64_20569`
14×	`associate-*l/_binary64_20481`
13×	`add-sqr-sqrt_binary64_20560` `*-un-lft-identity_binary64_20538`
9×	`pow1/3_binary64_20620`
7×	`add-cube-cbrt_binary64_20573`
4×	`add-log-exp_binary64_20577`
3×	`difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490`
1×	`associate-l_binary64_20479` `associate-r_binary64_20478` `*-commutative_binary64_20469`

Counts

4 → 112

Calls

4 calls:

39.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))))
9.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

Compiler

Compiled 6295 to 3083 computations (51% saved)

series988.0ms (15.8%)

Error

2.0b

Counts

4 → 66

Calls

4 calls:

242.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
227.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
226.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
176.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))))

Compiler

Compiled 7477 to 5098 computations (31.8% saved)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5072	5395

prune325.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	182	6	188

Error

0.0b

Counts

188 → 6

Compiler

Compiled 7333 to 3743 computations (49% saved)

regimes743.0ms (11.9%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

Compiler

Compiled 6128 to 4981 computations (18.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 6 computations (-20% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	52
1	88	52

end0.0ms (0%)

sample1.3s (20.4%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
19.0ms	703×	body	128	invalid

Compiler

Compiled 852 to 673 computations (21% saved)

Details

analyze511.0ms (8.1%)

sample21.0ms (0.3%)

simplify34.0ms (0.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite81.0ms (1.3%)

series262.0ms (4.2%)

simplify60.0ms (1%)

prune78.0ms (1.2%)

localize6.0ms (0.1%)

rewrite73.0ms (1.2%)

series268.0ms (4.3%)

simplify66.0ms (1.1%)

prune67.0ms (1.1%)

localize10.0ms (0.2%)

rewrite105.0ms (1.7%)

series669.0ms (10.7%)

simplify98.0ms (1.6%)

prune88.0ms (1.4%)

localize15.0ms (0.2%)

rewrite304.0ms (4.9%)

series988.0ms (15.8%)

simplify106.0ms (1.7%)

prune325.0ms (5.2%)

regimes743.0ms (11.9%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (20.4%)

Profiling