Details

analyze1.3s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	416
1	4999	416
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample161.0ms (1.5%)

Algorithm

1×

intervals

Results

41.0ms	397×	body	128	nan
25.0ms	236×	body	128	valid
21.0ms	198×	body	128	invalid
4.0ms	4×	body	1024	valid
3.0ms	7×	body	512	valid
2.0ms	9×	body	256	valid
2.0ms	3×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune9.0ms (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

3.2b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.8b	(log.f64 (-.f64 1 z))

rewrite210.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

36×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
33×	`log-prod_binary64_2892`
27×	`associate--l+_binary64_2743`
24×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
21×	`add-cube-cbrt_binary64_2841` `cancel-sign-sub-inv_binary64_2772`
20×	`associate-+r+_binary64_2738`
14×	`associate-+l+_binary64_2739`
10×	`associate-*r/_binary64_2748`
9×	`pow1_binary64_2867`
8×	`difference-of-squares_binary64_2775`
7×	`flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `sub-neg_binary64_2799`
6×	`add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
4×	`frac-add_binary64_2814`
3×	`log-pow_binary64_2895` `associate-l_binary64_2747`
2×	`log-div_binary64_2893`
1×	`rem-log-exp_binary64_2847` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `diff-log_binary64_2898`

Counts

4 → 123

Calls

4 calls:

30.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(log.f64 (-.f64 1 z))
5.0ms	(-.f64 (log.f64 z) t)

Compiler

Compiled 3351 to 1602 computations (52.2% saved)

series1.5s (13.2%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

951.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
279.0ms	(*.f64 y (-.f64 (log.f64 z) t))
145.0ms	(-.f64 (log.f64 z) t)
30.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 2609 to 1993 computations (23.6% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5069	2998

prune203.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	175	2	177

Error

0.0b

Counts

177 → 2

Compiler

Compiled 3992 to 1892 computations (52.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.0b	(*.f64 a (+.f64 b z))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))

rewrite174.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`associate--l+_binary64_2743`
26×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
18×	`add-cube-cbrt_binary64_2841`
16×	`cancel-sign-sub-inv_binary64_2772` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
15×	`log-prod_binary64_2892`
12×	`associate-*r/_binary64_2748`
10×	`pow1_binary64_2867` `associate-r_binary64_2746`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`add-log-exp_binary64_2845`
6×	`sub-neg_binary64_2799` `associate-l_binary64_2747`
5×	`flip3--_binary64_2810` `flip--_binary64_2781`
4×	`frac-sub_binary64_2815` `distribute-lft-out--_binary64_2758`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
2×	`diff-log_binary64_2898` `associate--r+_binary64_2742` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `difference-of-squares_binary64_2775` `log-pow_binary64_2895` `*-commutative_binary64_2737`
1×	`distribute-lft-out_binary64_2757`

Counts

4 → 112

Calls

4 calls:

19.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))
17.0ms	(*.f64 y (-.f64 (log.f64 z) t))
12.0ms	(*.f64 a (+.f64 b z))
9.0ms	(-.f64 (log.f64 z) t)

Compiler

Compiled 2609 to 708 computations (72.9% saved)

series1.2s (10.7%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

661.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 b z)))
238.0ms	(*.f64 y (-.f64 (log.f64 z) t))
143.0ms	(-.f64 (log.f64 z) t)
104.0ms	(*.f64 a (+.f64 b z))

Compiler

Compiled 2653 to 1730 computations (34.8% saved)

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5180	2394

prune117.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	177	2	179

Error

0.0b

Counts

179 → 2

Compiler

Compiled 3293 to 629 computations (80.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(*.f64 a (-.f64 (neg.f64 z) b))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`associate-r_binary64_2746`
16×	`add-sqr-sqrt_binary64_2828`
14×	`*-un-lft-identity_binary64_2806`
12×	`cancel-sign-sub-inv_binary64_2772`
10×	`add-cube-cbrt_binary64_2841`
8×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `exp-sum_binary64_2852`
6×	`pow1_binary64_2867` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747`
5×	`add-exp-log_binary64_2844`
4×	`sub-neg_binary64_2799`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `associate-r/_binary64_2748` `distribute-lft-out--_binary64_2758` `-commutative_binary64_2737`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `distribute-rgt-neg-in_binary64_2764`

Counts

2 → 57

Calls

2 calls:

13.0ms	(*.f64 a (-.f64 (neg.f64 z) b))
9.0ms	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))

Compiler

Compiled 924 to 258 computations (72.1% saved)

series371.0ms (3.4%)

Error

0.0b

Counts

2 → 35

Calls

2 calls:

207.0ms	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))
134.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 1427 to 1126 computations (21.1% saved)

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4985	1316
1	4985	1316

prune76.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Error

0.0b

Counts

94 → 2

Compiler

Compiled 1258 to 308 computations (75.5% saved)

regimes423.0ms (3.8%)

Accuracy

Total 0.4b remaining (91.9%)

Threshold costs 0.4b (91.9%)

Compiler

Compiled 2685 to 3039 computations (-13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	23
1	69	23

end0.0ms (0%)

sample4.8s (43.3%)

Algorithm

1×

intervals

Results

1.2s	11017×	body	128	nan
801.0ms	7321×	body	128	valid
582.0ms	5498×	body	128	invalid
114.0ms	293×	body	512	valid
92.0ms	131×	body	1024	valid
60.0ms	255×	body	256	valid
53.0ms	134×	body	512	invalid
36.0ms	141×	body	256	invalid
27.0ms	43×	body	1024	invalid

Compiler

Compiled 309 to 345 computations (-11.7% saved)

Details

analyze1.3s (12.1%)

sample161.0ms (1.5%)

simplify84.0ms (0.8%)

prune9.0ms (0.1%)

localize34.0ms (0.3%)

rewrite210.0ms (1.9%)

series1.5s (13.2%)

simplify97.0ms (0.9%)

prune203.0ms (1.8%)

localize14.0ms (0.1%)

rewrite174.0ms (1.6%)

series1.2s (10.7%)

simplify99.0ms (0.9%)

prune117.0ms (1.1%)

localize13.0ms (0.1%)

rewrite78.0ms (0.7%)

series371.0ms (3.4%)

simplify111.0ms (1%)

prune76.0ms (0.7%)

regimes423.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (43.3%)

Profiling