Details

analyze93.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	64×	body	1024	valid
4.0ms	140×	body	128	valid
2.0ms	28×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

28.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite78.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-lft-out--_binary64_371`
2×	`distribute-lft-out_binary64_370` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 49

Calls

3 calls:

13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 676 to 421 computations (37.7% saved)

series221.0ms (4.1%)

Error

16.1b

Counts

3 → 21

Calls

3 calls:

82.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
71.0ms	(cbrt.f64 x)
43.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 765 to 662 computations (13.5% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune70.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

6.7b

Counts

71 → 7

Compiler

Compiled 1011 to 684 computations (32.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.5b	(cbrt.f64 x)
10.7b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite143.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

24×	`cbrt-div_binary64_451`
18×	`cbrt-prod_binary64_450`
11×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `frac-times_binary64_429`
3×	`pow1/3_binary64_501`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `distribute-lft-out_binary64_370`

Counts

4 → 62

Calls

4 calls:

14.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
9.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1846 to 1373 computations (25.6% saved)

series315.0ms (5.8%)

Error

6.7b

Counts

4 → 33

Calls

4 calls:

85.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
74.0ms	(cbrt.f64 x)
66.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
51.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 1686 to 1427 computations (15.4% saved)

simplify116.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4880	1609
1	4880	1609

prune125.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Error

6.7b

Counts

102 → 7

Compiler

Compiled 2293 to 1700 computations (25.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.5b	(cbrt.f64 x)
21.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite134.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

28×	`cbrt-prod_binary64_450`
15×	`*-un-lft-identity_binary64_419`
11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
8×	`cbrt-div_binary64_451`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
2×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

4 → 62

Calls

4 calls:

22.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1810 to 1371 computations (24.3% saved)

series293.0ms (5.4%)

Error

6.7b

Counts

4 → 30

Calls

4 calls:

80.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
79.0ms	(cbrt.f64 x)
48.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
45.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 1652 to 1400 computations (15.3% saved)

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4769	1306
1	4769	1306

prune128.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	92	7	99

Error

6.7b

Counts

99 → 7

Compiler

Compiled 2270 to 1729 computations (23.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
0.3b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
0.5b	(cbrt.f64 x)
22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))

rewrite266.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

48×	`cbrt-prod_binary64_450`
17×	`*-un-lft-identity_binary64_419`
13×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
12×	`cbrt-div_binary64_451`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
2×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

4 → 68

Calls

4 calls:

72.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))
5.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
5.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3184 to 2553 computations (19.8% saved)

series334.0ms (6.1%)

Error

6.7b

Counts

4 → 30

Calls

4 calls:

91.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
57.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
51.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))

Compiler

Compiled 2319 to 1973 computations (14.9% saved)

simplify119.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4831	1544
1	4831	1544

prune204.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Error

6.7b

Counts

105 → 7

Compiler

Compiled 3521 to 2808 computations (20.2% saved)

regimes302.0ms (5.6%)

Accuracy

Total 0.4b remaining (4.2%)

Threshold costs 0.4b (4.2%)

Compiler

Compiled 2960 to 2416 computations (18.4% saved)

bsearch42.0ms (0.8%)

Steps

Iters	Range		Point
9	1.611863675371195e-05	44.47151798141386	6.574640546781804e-05
9	-164738.63607809597	-0.10428308442029482	-673.3157742351818

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	178	122
1	178	122

end0.0ms (0%)

sample2.2s (40.7%)

Algorithm

1×

intervals

Results

199.0ms	1981×	body	1024	valid
119.0ms	4299×	body	128	valid
77.0ms	984×	body	512	valid
29.0ms	230×	body	2048	valid
28.0ms	506×	body	256	valid

Compiler

Compiled 1539 to 1253 computations (18.6% saved)

Details

analyze93.0ms (1.7%)

sample21.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite78.0ms (1.4%)

series221.0ms (4.1%)

simplify78.0ms (1.4%)

prune70.0ms (1.3%)

localize11.0ms (0.2%)

rewrite143.0ms (2.6%)

series315.0ms (5.8%)

simplify116.0ms (2.1%)

prune125.0ms (2.3%)

localize10.0ms (0.2%)

rewrite134.0ms (2.5%)

series293.0ms (5.4%)

simplify89.0ms (1.6%)

prune128.0ms (2.3%)

localize15.0ms (0.3%)

rewrite266.0ms (4.9%)

series334.0ms (6.1%)

simplify119.0ms (2.2%)

prune204.0ms (3.7%)

regimes302.0ms (5.6%)

bsearch42.0ms (0.8%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (40.7%)

Profiling