Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify273.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4937	40
1	4937	40

prune7.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 116 to 94 computations (19% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

rewrite92.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_1111`
74×	`times-frac_binary64_1117`
70×	`distribute-lft-out_binary64_1062`
58×	`add-sqr-sqrt_binary64_1133`
48×	`add-cube-cbrt_binary64_1146` `associate-r_binary64_1051`
18×	`add-cbrt-cube_binary64_1147` `div-inv_binary64_1108` `add-exp-log_binary64_1149`
12×	`associate-/r*_binary64_1055`
8×	`pow1_binary64_1172` `associate-/r/_binary64_1057`
6×	`associate-/l_binary64_1056` `associate-l*_binary64_1052`
4×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip-+_binary64_1085` `flip3-+_binary64_1114` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`
2×	`-commutative_binary64_1042` `frac-2neg_binary64_1122` `pow-prod-down_binary64_1182` `clear-num_binary64_1110` `associate-r/_binary64_1053`

Counts

4 → 168

Calls

4 calls:

24.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
20.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
13.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series105.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
30.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
22.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
21.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4922	3140
1	4922	3140

prune381.0ms (10.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Merged error: 0.0b

Counts

181 → 2

Compiler

Compiled 6221 to 4907 computations (21.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
1.4b	(log.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t))
2.9b	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)

rewrite80.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`*-un-lft-identity_binary64_1111`
55×	`distribute-lft-out_binary64_1062`
54×	`times-frac_binary64_1117`
40×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
25×	`pow-pow_binary64_1183`
24×	`exp-prod_binary64_1163`
14×	`div-inv_binary64_1108`
12×	`associate-/r*_binary64_1055`
9×	`add-exp-log_binary64_1149`
8×	`add-cbrt-cube_binary64_1147`
7×	`log-prod_binary64_1197`
6×	`unpow-prod-down_binary64_1190` `associate-/l*_binary64_1056` `associate-/r/_binary64_1057`
5×	`pow1_binary64_1172`
4×	`add-log-exp_binary64_1150`
3×	`flip-+_binary64_1085` `pow-unpow_binary64_1188` `flip3-+_binary64_1114` `rem-log-exp_binary64_1152`
2×	`frac-2neg_binary64_1122` `div-exp_binary64_1162` `pow-exp_binary64_1179` `cbrt-undiv_binary64_1145` `sqr-pow_binary64_1083` `pow-to-exp_binary64_1180` `clear-num_binary64_1110`
1×	`log-pow_binary64_1200`

Counts

4 → 141

Calls

4 calls:

19.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
14.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series196.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t))
67.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
23.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
21.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4920	2949
1	4920	2949

prune358.0ms (9.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	153	2	155

Merged error: 0.0b

Counts

155 → 2

Compiler

Compiled 5912 to 4746 computations (19.7% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.5b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))
1.5b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))
2.9b	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
2.9b	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)

rewrite93.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`*-un-lft-identity_binary64_1111`
50×	`pow-pow_binary64_1183`
48×	`exp-prod_binary64_1163`
36×	`times-frac_binary64_1117`
34×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
30×	`distribute-lft-out_binary64_1062`
20×	`log-prod_binary64_1197`
14×	`cbrt-prod_binary64_1142`
12×	`unpow-prod-down_binary64_1190`
8×	`div-inv_binary64_1108` `pow1_binary64_1172`
6×	`pow-unpow_binary64_1188` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `log-pow_binary64_1200` `add-log-exp_binary64_1150` `sqr-pow_binary64_1083` `associate-/r/_binary64_1057`
2×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `flip3-+_binary64_1114` `pow-exp_binary64_1179` `rem-log-exp_binary64_1152` `pow-to-exp_binary64_1180`

Counts

4 → 122

Calls

4 calls:

22.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
19.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
16.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))
16.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))

series370.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))
116.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)))
70.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)
62.0ms	(pow.f64 (exp.f64 (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))) t)

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4853	3150
1	4853	3150

prune524.0ms (14.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0.0b

Counts

136 → 2

Compiler

Compiled 7548 to 6142 computations (18.6% saved)

regimes11.0ms (0.3%)

Compiler: Compiled 76 to 63 computations (17.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	19	40

end0.0ms (0%)

sample825.0ms (22.6%)

Algorithm

1×

intervals

Results

602.0ms

8000×

body

128

valid

Compiler

Compiled 137 to 113 computations (17.5% saved)

Details

analyze6.0ms (0.2%)

sample25.0ms (0.7%)

simplify273.0ms (7.5%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite92.0ms (2.5%)

series105.0ms (2.9%)

simplify63.0ms (1.7%)

prune381.0ms (10.4%)

localize15.0ms (0.4%)

rewrite80.0ms (2.2%)

series196.0ms (5.4%)

simplify95.0ms (2.6%)

prune358.0ms (9.8%)

localize19.0ms (0.5%)

rewrite93.0ms (2.6%)

series370.0ms (10.1%)

simplify103.0ms (2.8%)

prune524.0ms (14.3%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample825.0ms (22.6%)

Profiling