Details

analyze264.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample34.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	237×	body	128	valid
8.0ms	287×	pre	128	true
2.0ms	19×	body	256	valid
1.0ms	31×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify458.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069` `times-frac_binary64_2130`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `sqrt-prod_binary64_2140` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `-commutative_binary64_2055` `associate-/r_binary64_2068` `associate-l_binary64_2065` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series436.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
131.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
61.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
34.0ms	(.f64 (.f64 3 a) c)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune134.0ms (2.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 9.2b

Counts

90 → 17

Compiler

Compiled 2498 to 1532 computations (38.7% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune26.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 9.2b

Counts

17 → 17

Compiler

Compiled 517 to 366 computations (29.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (*.f64 a c) b)
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
17×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
16×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
10×	`add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064` `times-frac_binary64_2130`
5×	`pow1_binary64_2185`
4×	`associate-/r*_binary64_2068`
3×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `associate-r/_binary64_2066` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate-/l/_binary64_2071`

Counts

3 → 78

Calls

3 calls:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series121.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
40.0ms	(/.f64 (*.f64 a c) b)
36.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5036	877

prune106.0ms (2.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	71	16	87
Fresh	0	15	15
Picked	1	0	1
Done	0	1	1
Total	72	32	104

Merged error: 9.1b

Counts

104 → 32

Compiler

Compiled 1809 to 1086 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 1 (*.f64 -2 (/.f64 b c)))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_2162`
10×	`add-cbrt-cube_binary64_2160`
9×	`div-exp_binary64_2175`
6×	`prod-exp_binary64_2173`
4×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185`
3×	`associate-/l_binary64_2069` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `1-exp_binary64_2168` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124` `rec-exp_binary64_2174`
2×	`pow-flip_binary64_2198` `cbrt-unprod_binary64_2157`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `associate-/r/_binary64_2070` `associate-/r_binary64_2068` `add-log-exp_binary64_2163` `associate-r/_binary64_2066` `div-inv_binary64_2121` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

series32.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5043	292

prune23.0ms (0.5%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	29	30
Picked	0	1	1
Done	0	1	1
Total	36	32	68

Merged error: 9.1b

Counts

68 → 32

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes778.0ms (16.3%)

Compiler: Compiled 5866 to 4481 computations (23.6% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.0s (41.8%)

Algorithm

1×

intervals

Results

393.0ms	7681×	body	128	valid
262.0ms	9001×	pre	128	true
51.0ms	1001×	body	128	nan
31.0ms	319×	body	256	valid

Compiler

Compiled 1248 to 946 computations (24.2% saved)

Details

analyze264.0ms (5.5%)

sample34.0ms (0.7%)

simplify458.0ms (9.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite45.0ms (1%)

series436.0ms (9.1%)

simplify73.0ms (1.5%)

prune134.0ms (2.8%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune26.0ms (0.5%)

localize8.0ms (0.2%)

rewrite30.0ms (0.6%)

series121.0ms (2.5%)

simplify66.0ms (1.4%)

prune106.0ms (2.2%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series32.0ms (0.7%)

simplify94.0ms (2%)

prune23.0ms (0.5%)

regimes778.0ms (16.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (41.8%)

Profiling